berbasis pendekatan matematika realistik kelas vii smp · (las) matematika kelas vii smp. selain...

BERBASIS PENDEKATAN MATEMATIKA REALISTIK

KELAS VII SMP

OLEH :

TETTY N.S., S.Si., M.Pd. DEWI ANZELINA, S.Pd., M.Pd.

SEKOLAH MENENGAH TINGKAT PERTAMA 2018

TOPIK

BILANGAN

Lembar Aktivitas Siswa (LAS) ii

KATA PENGANTAR

Dengan diberlakukannya standar isi untuk satuan pendidikan menengah pertama, maka penulis menyusun Lembar Aktivitas Siswa (LAS) yang sesuai dengan tuntutan tersebut. Penulis bersyukur kepada Tuhan Yang Maha Esa, karena atas petunjukNya penulis mampu menyusun Lembar Aktivitas Siswa (LAS) matematika kelas VII SMP. Selain daripada itu penulis juga berterimakasih kepada DRPM Kementerian Riset dan Teknologi dan Pendidikan Tinggi yang telah mendukung dan membiayai pelaksanaan penelitian pada tahun 2018 sehingga Lembar Aktivitas Siswa (LAS) ini dapat disusun dengan baik.

Lembar Aktivitas Siswa (LAS) ini merupakan kumpulan dari masalah kontekstual yang akan diselesaikan dengan menerapkan langkah-langkah pemecahan masalah pada saat kegiatan belajar pada pembelajaran dengan pendekatan matematika realistik. Setelah menyelesaikan masalah atau latihan dalam Lembar Aktivitas Siswa (LAS) ini diharapkan peserta didik memperoleh pemahaman tentang konsep-konsep yang berkaitan dengan matematika. Kemampuan dasar untuk berpikir logis, kritis dan rasa ingin tahu memecahkan masalah sangat diharapkan dalam Lembar Aktivitas Siswa (LAS) ini. Selain itu diharapkan peserta didik memiliki kemampuan dan pengetahuan matematika yang dikaitkan dengan masalah kontekstual. Dalam penyusunan Lembar Aktivitas Siswa (LAS) ini, tentu masih ada kekurangannya sebagaimana tiada gading yang tak retak, maka kritik dan saran yang membangun dari semua pihak sangat diharapkan. Terimakasih. Penulis,

Lembar Aktivitas Siswa (LAS) iii

DAFTAR ISI

Hal.

KATA PENGANTAR…………………………………………………........................................ ii

DAFTAR ISI…………………………………………………………………………………………. iii

PETUNJUK PENGGUNAAN LAS…….……………………………………………………… iv

PETA KONSEP…………………………………………………………........................................ v

KEGIATAN BELAJAR-1………………………………..………………………………………… 1

KEGIATAN BELAJAR-2……………………………………..………………………………….... 20

KEGIATAN BELAJAR-3………………………………………………………………………….. 35






DAFTAR PUSTAKA……………………………………………………………………………… 156

Lembar Aktivitas Siswa (LAS) iv

PETUNJUK PENGGUNAAN LAS

1. Selesaikan masalah dalam Lembar Aktivitas Siswa (LAS) ini dengan

cermat dan teliti.

2. Tulis penyelesaian atas masalah dalam Lembar Aktivitas Siswa ini pada

tempat yang telah disediakan.

3. Lembar Aktivitas Siswa ini sebagai salah satu sarana yang akan digunakan

dalam proses kegiatan pembelajaran dengan menerapkan langkah-

langkah dalam pembelajaran berbasis pendekatan matematika realistik

dengan menerapkan langkah-langkah pemecahan masalah yang akan

diterapkan untuk menyelesaiakan masalah pada setiap materi dalam

proses pembelajaran.

4. Dalam penyelesaian masalah dalam Lembar Aktivitas ini dapat dibantu

dengan buku referensi matematika dan dengan bantuan bimbingan guru.

5. Setiap masalah-masalah yang disajikan dalam Lembar Aktivitas Siswa ini

merupakan dasar yang akan menunjang penguasaan suatu konsep

matematika dan untuk mengukur sampai sejauh mana pengetahuan yang

anda miliki.

Lembar Aktivitas Siswa (LAS) v

PETA KONSEP

Mengurutkan dan Operasi Bilangan

Bilangan Rasional Bilangan Pangkat

Bilangan Bulat Bilangan Pecahan

Bilangan Bulat Negatif

Bilangan Cacah

Bilangan Nol

Bilangan Bulat Positif

Lembar Akivitas Kelas (LAS) 1

Indikator : Siswa diharapkan dapat memahami dan menyelesaikan masalah yang berhubungan dengan membandingkan bilangan bulat

Petunjuk !!

Diskusikanlah dengan temanmu dan

tuangkan idemu dengan menjawab

masalah yang

diberikan


Dalam pembelajaran kali ini kita akan mempelajari tentang masalah yang

berhubungan dengan membandingkan bilangan bulat. Untuk lebih

memahaminya, mari kita selesaikan masalah yang disajikan berikut ini.

MASALAH 1.1

Terdapat lima orang anak yang diberi penomoran pada setiap anak

yang ditempelkan pada suatu kertas pada baju anak. Nama kelima

anak itu adalah Dian, Febri, Iwan, Grace, dan Anton yang berdiri

sesuai dengan gambar. Susunlah barisan kelima anak tersebut!

Gambar 1.1 Lima Anak yang Diberi Label Bilangan

KEGIATAN BELAJAR-1 MEMBANDINGKAN BILANGAN BULAT


a. Informasi apa yang bisa kamu peroleh dari masalah di atas!

b. Bagaimana cara menentukan menyusun kelima anak tersebut?

Membuat

Perencanaan

Memahami masalah

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................


c. Susunlah barisan kelima anak tersebut?

d. Menurut Ana bahwa urutannya adalah Iwan, Dian, Anton, Grace, dan Febri.

Sementara menurut Dika urutan bilangan adalah Anton, Grace, Iwan, Dian,

dan Febri. Menurut anda pernyataan siapakah yang benar?

Melaksanakan

Rencana

Memeriksa

Kembali Hasil yang

Diperoleh

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

...........................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

...........................................................................................................


a. Informasi apa yang bisa kamu peroleh dari informasi di atas!

MASALAH 1.2

Memahami

masalah

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

Pada setiap hari senin, ibu Siska mengajar matematika di kelas VII-A

mulai les ke-5 sampai les ke-7. Pada saat mengajar, ibu Siska

melakukan suatu praktek menggunakan alat berupa huruf yaitu

dengan menunjukkan dua buah huruf yaitu huruf A dan B. Ibu Siska

bertanya kepada siswa jika seandainya huruf A dan B

melambangkan bilangan bulat yaitu A = 25 dan B = 9. Nyatakan

perbandingan kedua huruf tersebut?

Gambar 1.2 Ibu Siska Mengajar Menggunakan Alat Peraga


b. Bagaimana cara membandingkan kedua huruf tersebut?

c. Nyatakanlah perbandingan kedua huruf tersebut?

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

Membuat

Perencanaan

Melaksanakan

Rencana

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................


d. Menurut Mila A lebih kecil daripada B. Sedangkan menurut Tesya B lebih

kecil daripada A. Menurut anda pernyataan siapakah yang benar?

Memeriksa

Kembali Hasil yang

Diperoleh

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

.........................................................................................................................

Terdapat 2 buah bilangan bulat negatif yaitu C dan D. Bilangan C

tersusun atas 2 angka sedangkan bilangan D tersusun atas 3 angka.

Tentukan manakah bilangan yang lebih besar!

Gambar 1.3 Huruf C dan D

MASALAH 1.3


a. Informasi apa yang bisa kamu peroleh dari informasi di atas!

b. Bagaimana cara membandingkan kedua huruf tersebut?

c. Bilangan manakah yang lebih besar dan yang lebih kecil?

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

Membuat

Perencanaan

Melaksanakan

Rencana

Memahami

masalah

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................


d. Menurut Kiki bahwa bilangan C lebih besar dari pada bilangan D.

Sementara menurut Lala bilangan C lebih kecil daripada bilangan D.

Menurut anda pernyataan siapakah yang benar?

Memeriksa

Kembali Hasil yang

Diperoleh

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

.........................................................................................................................


MEMECAHKAN SOAL LATIHAN

Latihan 1

1. Ani sedang mengerjakan tugas matematika yang diberikan oleh Ibu Guru.

Berikut adalah salah satu soal tugas matematika yaitu dengan

membandingkan kedua suhu yaitu -5°C dan -3°C. Manakah suhu yang

lebih tinggi?

Gambar 1.4 Ani Sedang Berpikir

a. Informasi apa yang kamu dari hal tersebut?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:


....................................................................................................................................

....................................................................................................................................

b. Bagaimana cara menentukan suhu yang lebih tinggi?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

c. Tentukanlah suhu yang lebih tinggi?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

d. Menurut Mia -50C adalah suhu yang lebih tinggi. Sedangkan menurut Pita -

30C adalah suhu yang lebih tinggi! Menurut anda pernyataan siapakah

yang benar? Berikan alasanmu!

Penyelesaian:

Penyelesaian:


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

2. Budi sedang bermain dengan kotak-kotaknya. Pada setiap kotak sudah

dituliskan angka. Dia hendak menyusun kotak tersebut sejajar memanjang

ke samping kanan sesuai dengan urutannya. Tentukan urutan yang benar

dari bilangan terkecil sampai bilangan terbesar dari bilangan-bilangan

yang ada pada gambar berikut!Tentukan urutan yang benar dari bilangan-

bilangan berikut ini:

Gambar 1.5 Budi Sedang Bermain Kotak-Kotak

a. Informasi apa yang kamu peroleh dari data di atas!

....................................................................................................................................

....................................................................................................................................

Penyelesaian:

Penyelesaian:


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

b. Bagaimana cara menentukan urutan yang benar?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

c. Dari bilangan-bilangan tersebut, tentukan urutan yang benar?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:

Penyelesaian:


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

d. Menurut Dina bahwa urutan yang benar adalah 30, 20, 10, 0, -5, -10, -25.

Sedangan menurut Aini -25, -10, -5, 0, 10, 20, 30. Menurut kamu manakah

pernyataan yang benar? Jelaskan!

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

3. Pak Adri dan Pak Beni adalah peternak ayam di desanya. Saat musim

panen Pak Adri berhasil memanen 231.475 ekor ayam sedangkan Pak

Beni berhasil memanen 131.574 ekor ayam. Siapakah yang memanen

ayam paling banyak?

Gambar 1.6 Ternak Ayam Pak Adri dan Pak Beni

Penyelesaian:


a. Informasi apa yang kamu peroleh dari data di atas!

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

b. Bagaimana cara mengetahui siapakah yang memanen ayam paling

banyak?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

c. Tentukanlah siapakah yang memanen ayam paling banyak!

....................................................................................................................................

....................................................................................................................................

Penyelesaian:

Penyelesaian:

Penyelesaian:


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

d. Menurut Tina bahwa yang memanen ayam paling banyak adalah Pak Adri.

Sedangkan menurut Lina bahwa yang memiliki bilangan yang lebih besar

adalah Pak Beni. Menurut kamu, siapakah yang paling benar? Berikan

alasanmu!

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

4. Amin dan Budi menyembunyikan dua buah bilangan berbeda. Amin

mengatakan bahwa bilangannya terdiri dari 3 angka dengan susunan abc.

Sedangkan Budi mengatakan bahwa bilangannya terdiri dari 4 angka

dengan susunan abcd. Tentukan siapakah yang memiliki bilangan lebih

Penyelesaian:


besar jika kedua bilangan yang dimiliki oleh Amin dan Budi adalah

bilangan positif bilangan pertama tidak bernilai nol!

Gambar 1.7 Amin dan Budi Menyembunyikan Dua Bilangan Berbeda


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

b. Bagaimana cara mengetahui siapakah yang memanen ayam paling

banyak?

....................................................................................................................................

....................................................................................................................................

Penyelesaian:

Penyelesaian:


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

c. Tentukanlah siapakah yang memanen ayam paling banyak!

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

d. Menurut Tina bahwa yang memanen ayam paling banyak adalah Amin.

Sedangkan menurut Lina bahwa yang memiliki bilangan yang lebih besar

Penyelesaian:


adalah Budi. Menurut kamu, siapakah yang paling benar? Berikan

alasanmu!

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Orang-orang yang sukses selalu berpikir dulu

baru bertindak; tapi orang-orang yang gagal

bertindak dulu baru berpikir

Penyelesaian:


Petunjuk !!

Diskusikanlah dengan temanmu

dan tuangkan idemu dengan menjawab

masalah yang

diberikan

Indikator : Siswa diharapkan dapat memahami dan menyelesaikan masalah yang berhubungan dengan operasi penjumlahan dan pengurangan bilangan bulat.



berhubungan dengan operasi penjumlahan dan pengurangan bilangan bulat.

Untuk lebih memahaminya, Mari kita selesaikan masalah yang disajikan

berikut ini.

MASALAH 2.1

Sebuah kantor berlantai 20 mempunyai 3 lantai berada di bawah

tanah. Seorang karyawan mula-mula berada di lantai 2 kantor itu.

Karena ada suatu keperluan, ia turun 4 lantai, kemudian naik 6

lantai. Di lantai berapakah karyawan itu sekarang berada?

Gambar 2.1 Seorang Karyawan Berada Dalam Lift

KEGIATAN BELAJAR-2 OPERASI PENJUMLAHAN DAN

PENGURANGAN BILANGAN BULAT


a. Informasi apa yang kamu peroleh dari masalah di atas!

b. Bagaimana cara mengetahui keberadaan karyawan tersebut?

Membuat

Perencanaan

Memahami

masalah

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................


c. Tentukanlah di lantai berapa karyawan itu berada?

d. Menurut Citra karyawan tersebut sekarang berada di lantai 2. Sedangkan

menurut Fitri karyawan tersebut sekarang berada di lantai 4. Menurut

kamu, siapakah yang paling benar? Berikan alasanmu!

Melaksanakan

Rencana

Memeriksa Kembali Hasil

yang Diperoleh

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

.......................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................


a. Informasi apa yang dapat diperoleh dari masalah di atas!

MASALAH 2.2

Memahami masalah

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

Dalam suatu permainan ditentukan nilai tertinggi adalah 100, dan

dalam permainan tersebut dimungkinkan seorang pemain

memperoleh nilai negatif. Untuk 6 kali bermain seorang pemain

memperoleh nilai berturut-turut –75, 80, –40, 50, 90, dan –35.

Hitunglah jumlah nilai pemain tersebut!

Gambar 2.2 Skor Pada Suatu Permainan


b. Bagaimana cara menghitung jumlah nilai pemain tersebut!

c. Hitunglah jumlah nilai pemain tersebut!

Membuat

Perencanaan

Melaksanakan

Rencana

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................


d. Menurut Mira nilai jumlah pemain tersebut adalah 70. Sedangkan menurut

Siska nilai jumlah pemain tersebut adalah 80. Menurut kamu, siapakah

yang paling benar? Berikan alasanmu!

Memeriksa

Kembali Hasil yang

Diperoleh

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................



Latihan 2

1. Ibu Murni setiap bulan mendapat gaji sebesar Rp 2.500.000,-. Ia diberi

uang tambahan dari suaminya sebesar Rp 3.000.000,- per bulan.

Dibutuhkan Rp 1.000.000,- untuk uang belanja per bulan. Uang kesehatan

Rp 500.000,- dan 1.000.000,- untuk di tabung. Sisanya digunakan untuk

keperluan uang sekolah dari ke-3 anaknya. Berapakah besar keperluan

ketiga anaknya?

Gambar 2.3 Ibu Murni Diberi Uang oleh Suaminya


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:


....................................................................................................................................

....................................................................................................................................

b. Bagaimana cara mengetahui berapa besar keperluan ketiga anak ibu Murni?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

c. Hitunglah besarnya keperluan ketiga anak Ibu Murni!

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:

Penyelesaian:


d. Menurut Rudi besar keperluan uang sekolah ketiga anak Ibu Murni adalah Rp.

3.000.000,-. Sedangkan menurut Bayu sebesar Rp. 4.000.000,-. Menurut

kamu, siapakah yang benar? Berikan alasanmu!

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

2. Kecepatan perahu motor pada air tenang adalah 25 km per jam. Bila

perahu bergerak pada sungai yang kecepatan arusnya 5 km per jam,

hitunglah kecepatan perahu motor jika bergerak dengan cara mengikuti

arus air dan melawan arus air.

Gambar 2.4 Perahu Motor Sedang Berlayar

a. Informasi apa yang bisa kamu peroleh dari masalah di atas?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:

Penyelesaian:


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

b. Bagaimana cara mengetahui kecepatan perahu motor jika bergerak

dengan cara mengikuti arus air dan melawan arus air?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

c. Hitunglah kecepatan perahu motor jika bergerak dengan cara mengikuti

arus air dan melawan arus air?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:

Penyelesaian:


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

d. Menurut Tina kecepatan perahu motor jika mengikuti arus air dan

melawan arus air adalah 20 km per jam dan 30 km per jam. Sedangkan

menurut Dika kecepatan perahu motor jika mengikuti arus air dan

melawan arus air adalah 30 km per jam dan 20 km per jam. Menurut


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

3. Suhu di dalam kulkas -20C. Pada saat mati lampu, suhu di dalam kulkas

naik 30C setiap 4 menit. Pada suhu berapa derajatkah lampu mati selama 8

menit?

Penyelesaian:


Gambar 2.5 Kulkas Satu Pintu


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

b. Bagaimana cara mengetahui besarnya derajat suhu ketika lampu mati

selama 8 menit?

Penyelesaian:


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

c. Hitunglah derajat suhu ketika lampu mati selama 8 menit?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

d. Menurut Lia besar derajat suhu ketika lampu mati selama 8 menit adalah

40C. Sedangkan menurut Vina besarnya derajat suhu ketika lampu mati

Penyelesaian:

Penyelesaian:


selama 8 menit adalah 80C. Menurut kamu, siapakah yang benar? Berikan

alasanmu!

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Orang-orang yang sukses selalu

cermat dalam bekerja, tapi orang-

orang yang gagal selalu ceroboh.

Penyelesaian:


Indikator :

Siswa diharapkan dapat memahami dan

menyelesaikan masalah yang

berhubungan dengan operasi perkalian

dan pembagian bilangan bulat.

Petunjuk !!


dan tuangkan idemu dengan

menjawab masalah

yang diberikan



berhubungan dengan operasi perkalian dan pembagian bilangan bulat. Untuk lebih

memahaminya, Mari kita selesaikan masalah yang disajikan berikut ini.

MASALAH 3.1

Dalam suatu ujian, penilaian ditentukan dengan ketentuan sebagai

berikut.

– Jawaban benar diberikan nilai 3.

– Jawaban salah diberikan nilai –1.

– Untuk soal yang tidak dijawab diberikan nilai 0.

Dari 100 soal, seorang peserta menjawab 95 soal dan 78 di

antaranya dijawab dengan benar. Tentukan nilai yang diperoleh

peserta tersebut.

Gambar 3.1 Peserta Ujian

KEGIATAN BELAJAR-3 OPERASI PERKALIAN DAN

PEMBAGIAN BILANGAN BULAT



b. Bagaimana cara menentukan nilai yang diperoleh peserta tersebut?

B. Hitunglah besar perbandingan antara jumlah siswa perempuan dan jumlah

siswa laki-laki terhadap jumlah seluruh siswa?

Membuat

Perencanaan

Melaksanakan

Rencana

Memahami

masalah

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................


c. Hitunglah nilai yang diperoleh peserta tersebut!

d. Menurut Boy nilai yang diperoleh perserta tersebut adalah 217. Sedangkan

menurut Kiki nilai yang diperoleh peserta tersebut adalah 212. Menurut kamu,

siapakah yang paling benar? Berikan alasanmu.

Memeriksa

Kembali Hasil yang

Diperoleh

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

Melaksanakan

Rencana


\


MASALAH 3.2

Memahami

masalah

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

Seorang pedagang buah membeli 10 kg Apel dengan harga

Rp.20.000,-/kg. Dengan 10 kg apel tersebut beliau ingin menjual

kembali dengan keuntungan sebesar Rp.100.000,-. Berapakah harga

jual/kg nya?

Gambar 3.2 Pedagang Apel di Pasar


b. Bagaimana cara mengetahui harga jual/kg?

e. Hitunglah harga jual/kg!

c. Hitunglah harga jual/kg?

Membuat

Perencanaan

Melaksanakan

Rencana

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

........................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................


d. Menurut Musa harga jual tiap kg adalah Rp. 30.000.000,- Sedangkan menurut

Melisa harga jual tiap kg adalah Rp. 40.000.000,- Menurut kamu, siapakah


Memeriksa

Kembali Hasil yang

Diperoleh

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................



Latihan 3 1. Dalam suatu ujian dengan jumlah soal 50, jawaban yang benar diberi nilai

2, jawaban yang salah diberi nilai -1, dan soal yang tidak terjawab diberi

nilai 0. Dalam ujian itu, seorang siswa menjawab soal dengan benar

sebanyak 42 soal dan sebanyak 5 soal tidak terjawab. Berapa nilai yang

diperoleh siswa tersebut?

Gambar 3.4 Guru Sedang Mengawas Siswa Lagi Ujian


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

...........................................................................................................................

b. Bagaimana cara menilai siswa tersebut!

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

c. Hitunglah nilai yang diperoleh siswa tersebut!

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:

Penyelesaian:


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

d. Menurut Bakti nilai yang diperoleh siswa tersebut adalah 84. Sedangkan

menurut Ratna nilai yang diperoleh siswa tersebut adalah 81. Menurut


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

2. Seekor katak dapat melompat dengan jarak rata-rata tiap lompatan 25 cm.

Jika katak tersebut menyeberangi empang yang lebarnya 5 meter, berapa

kali katak itu harus melompat dari tepi empang yang satu sampai di tepi

empang yang dituju?

Penyelesaian:


Gambar 3.5 Seekor Katak Melompat


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:


b. Bagaimana cara mengetahui frekuensi katak tersebut melompat dari empang

yang satu sampai di tepi empang yang dituju?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

c. Hitunglah frekuensi katak tersebut melompat dari empang yang satu sampai ke

tepi empang yang dituju?

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………….....

....................................................................................................................................

Penyelesaian:

Penyelesaian:


d. Menurut Dewi frekuensi katak tersebut melompat adalah sebanyak 20

kali. Sedangkan menurut Dini frekuensi katak tersebut melompat adalah

sebanyak 5 kali. Menurut kamu, siapakah yang benar? Berikan alasanmu!

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

3. Tabel berikut menunjukkan banyak soal yang dijawab oleh peserta tes

dengan banyak soal seluruhnya 50.

Nama Siswa Banyak Jawaban

Benar Banyak Jawaban

Salah Siska 37 5

Puput 40 4

Kresna 38 7

Jika tiap jawaban benar diberi nilai 1, jawaban salah diberi nilai -1, dan

soal yang tidak terjawab diberi nilai 0, tentukan nilai tertinggi dan nilai

terendah yang diperoleh siswa.


…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

Penyelesaian:

Penyelesaian:


…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………................................

…………………………………………………………………………………………………………………………………

b. Bagaimana cara mengetahui nilai tertinggi dan nilai terendah!

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………

c. Tentukan nilai tertinggi dan nilai terendah yang diperoleh siswa tersebut?

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

……………………………………………………………………………………………………………..................…

Penyelesaian:

Penyelesaian:


d. Menurut Vera nilai tertinggi dan nilai terendah yang diperoleh siswa tersebut

adalah 36 dan 31. Sedangkan menurut Lidia nilai tertinggi dan nilai terendah

yang diperoleh siswa tersebut adalah 37 dan 32. Menurut kamu, siapakah yang

benar? Berikan alasanmu!

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

4. Sebanyak 855 kantong pasir akan diangkut oleh 9 bis. Jika muatan setiap

bis sama, berapa kantong muatan tiap bis?

Gambar 3.6 Bis Pengangkut Kantong Pasir

Penyelesaian:



…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

b. Bagaimana cara mengetahui banyaknya kantong muatan tiap bis?

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

c. Hitunglah berapa banyak kantong muatan untuk 10 bis?

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

Penyelesaian:

Penyelesaian:

Penyelesaian:


d. Menurut Glory banyaknya kantong muatan tiap bis adalah 85. Sedangkan

menurut Ira banyaknya kantong tiap bis adalah 95. Menurut kamu,

siapakah yang benar? Berikan alasanmu!

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

5. Murid sebuah SMP ada 287 orang. Jumlah murid di setiap kelas sama

banyak. Berapa orang murid di setiap kelas jika terdapat 7 kelas?

Gambar 3.7 Sejumlah Murid SMP Sedang Berbaris Di Halaman

Penyelesaian:


a. Informasi apa yang bisa kita peroleh dari masalah di atas?

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

b. Bagaimana cara mengetahui banyak murid tiap kelas?

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

Penyelesaian:

Penyelesaian:


c. Tentukanlah banyak murid tiap kelas?

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

d. Menurut Reni banyak murid tiap kelas adalah 41. Sedangkan menurut Vivi

banyak murid tiap kelas adalah 51. Menurut kamu, siapakah yang benar?

Berikan alasanmu!

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

Penyelesaian:

Penyelesaian:


…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

6. Sebanyak 540 jeruk akan dimasukkan ke dalam kantong. Setiap kantong

berisi 12 jeruk. Berapa kantong yang diperlukan?

Gambar 3.8 Sekumpulan Jeruk


…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

Penyelesaian:


…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

b. Bagaimana cara mengetahui banyaknya kantong yang diperlukan?

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

c. Hitunglah berapa banyaknya kantong yang diperlukan?

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

Penyelesaian:

Penyelesaian:


…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

d. Menurut Kiki banyaknya kantong yang diperlukan sebanyak 55.

Sedangkan menurut Winda banyaknya kantong yang diperlukan sebanyak

45. Menurut kamu, siapakah yang benar? Berikan alasanmu!

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

Penyelesaian:


…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………


cermat dalam bekerja, tapi orang-

orang yang gagal selalu ceroboh.


Indikator :

Siswa diharapkan dapat

memahami dan menyelesaikan

masalah yang berhubungan

dengan membandingkan

bilangan pecahan

Petunjuk !!


dan tuangkan idemu dengan menjawab masalah atau soal

yang diberikan



berhubungan dengan membandingkan bilangan pecahan. Untuk lebih


MASALAH 4.1

Keisha mempunyai sebuah apel yang akan dimakan dengan 3 orang

temannya. Tentukanlah berapa bagian masing-masing orang mendapat

apel?

Gambar 4.1 Seorang Anak Memegang Apel

KEGIATAN BELAJAR-4 MEMBANDINGKAN BILANGAN PECAHAN



b. Bagaimana cara agar masing-masing orang mendapat bagian yang sama?

Membuat

Perencanaan

Memahami

masalah

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................


c. Hitunglah berapa bagian masing-masing orang yang mendapat apel?

d. Menurut Denny banyak bagian masing-masing orang adalah4

1 bagian.

Sedangkan menurut Harry banyak bagian masing-masing orang adalah 4.

Menurut kamu, siapakah yang paling benar? Berikan alasanmu!

Melaksanakan

Rencana

Memeriksa

Kembali Hasil yang

Diperoleh

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

.......................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................


a. Tuliskanlah apa yang diketahui dan yang ditanya dari informasi di atas!

MASALAH 4.2

Memahami

masalah

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

Bu Dita mempunyai sebutir telur rebus yang akan diberikan kepada 2

orang anaknya. Berapa bagian yang sama yang didapat masing-masing

anak?

Gambar 4.2 Seorang Ibu sedang Menguliti Sebutir Telur


b. Bagaimana cara agar masing-masing anak mendapat bagian yang sama?

c. Hitunglah berapa bagian masing-masing anak?

Membuat

Perencanaan

Melaksanakan

Rencana

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

.......................................................................................................................


d. Menurut Mahmut masing-masing anak mendapat 2 bagian. Sedangkan

menurut Krisna masing-masing anak mendapat 2

1 bagian. Menurut kamu,



yang Diperoleh

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

Di suatu sekolah diadakan pemilihan ketua OSIS dan diperoleh hasil

sebagai berikut:

1/3 dari siswa-siswi di sekolah memilih calon I.

2/7 dari siswa-siswi di sekolah memilih calon II.

Berdasarkan hasil tersebut, calon manakah yang lebih banyak

pemilihnya?

Gambar 4.3 Pemilihan Ketua Osis

MASALAH 4.3



b. Sajikanlah informasi tersebut dalam tabel!

Membuat

Perencanaan

Memahami

masalah

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................


c. Tentukan calon mana yang banyak pemilihnya?

d. Menurut Ririn calon I lebih banyak pemilihnya. Sedangkan menurut Cici

calon II lebih banyak pemilihnya.. Menurut kamu, siapakah yang benar?

Berikan alasanmu!

Melaksanakan

Rencana


yang Diperoleh

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

................................................................................................................



Latihan 4

1. Di dalam tas terdapat 3 kg gula untuk membuat 2 botol sirup. Berapa kg gula

yang diperlukan masing-masing botol sirup?

Gambar 4.4 Gula dan Botol

a. Informasi apa yang kamu peroleh dari masalah di atas?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:


b. Bagaimana cara agar setiap botol sirup memperoleh takaran gula yang

sama?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

c. Hitunglah berapa kg gula kah yang diperlukan masing-masing botol sirup?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:

Penyelesaian:


d. Menurut Jenny banyak gula yang dibutuhkan adalah 1,5 kg per botol

sirup. Sedangkan menurut Nina banyak gula yang dibutuhkan adalah 2 kg

per botol sirup. Menurut kamu, siapakah yang paling benar? Berikan

alasanmu!

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

2. Pak Budi mempunyai sawah yang luasnya 3 hektar. Sementara Pak Candra

mempunyai sawah yang luasnya 2/3 dari luas sawah pak Budi. Sementara

Pak Samsul mempunyai sawah yang luasnya 1/8 dari luas sawah pak Budi.

Siapakah dari antara Pak Candra dan Pak Samsul yang mempunyai sawah

yang luasnya lebih sedikit?

Gambar 4.5 Sawah Pak Budi dan Pak Candra

Penyelesaian:



....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

b. Bagaimana cara mengetahui luas sawah yang lebih luas?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

c. Tentukanlah sawah siapa yang luasnya lebih sedikit?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:

Penyelesaian:

Penyelesaian:


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

d. Menurut Gabriel luas sawah pak Candra lebih sedikit dari luas sawah pak

Samsul. Sedangkan menurut Jenni luas sawah pak Samsul lebih sedikit

dari luas sawah pak Samsul. Menurut kamu, siapakah yang paling benar?

Berikan alasanmu!

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:


3. Pak RT memiliki 2 kolam ikan, ia memanen kolam-kolam tersebut. Kolam

pertama mendapat hasil sebanyak 8

7ton dan kolam kedua 0,75 ton. Kolam

manakah yang memanen ikan paling banyak?

Gambar 4.6 Kolam Ikan


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:


b. Bagaimana cara mengetahui kolam manakah yang memanen ikan lebih

banyak?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

c. Tentukanlah kolam mana yang memanen ikan paling banyak?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:

Penyelesaian:


d. Menurut Lenni kolam pertama mendapat ikan yang paling banyak

daripada kolam kedua. Sedangkan menurut Ani kolam kedua mendapat

ikan paling banyak daripada kolam kedua. Menurut kamu, siapakah yang

paling benar? Berikan alasanmu!

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

4. Hadi, Wahyu dan Anto berangkat ke sekolah dengan berjalan kaki. Waktu

yang dibutuhkan Hadi untuk berjalan kaki dari rumah ke sekolah adalah

6

1 jam. Wahyu membutuhkan waktu

4

1jam dan Anto membutuhkan

waktu 3

2jam. Tuliskan urutan siswa yang lama sampai di sekolah!

Gambar 4.7 Hadi, Wahyu dan Anton Berjalan Kaki

Berangkat Ke Sekolah

Penyelesaian:



....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

b. Bagaimana cara mengetahui urutan siswa yang lama sampai di sekolah?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:

Penyelesaian:


c. Tentukanlah urutan siswa yang lama sampai di sekolah?

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

d. Menurut Didin urutan siswa yang lama sampai di sekolah adalah Anto,

Wahyu, dan Hadi. Sedangkan menurut Alberto urutan siswa yang lama

sampai di sekolah adalah Hadi, Wahyu, dan Anto. Menurut kamu, siapakah

yang paling benar? Berikan alasanmu!

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

Penyelesaian:

Penyelesaian:


....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

....................................................................................................................................

.


berpikir dulu baru bertindak; tapi

orang-orang yang gagal bertindak

dulu baru berpikir


Indikator :


memahami dan menyelesaikan

masalah yang berhubungan

dengan penjumlahan dan

pengurangan bilangan

pecahan.

Petunjuk !!



yang diberikan



berhubungan dengan penjumlahan dan pengurangan bilangan pecahan.

Untuk lebih memahaminya, Mari kita selesaikan masalah yang disajikan

berikut ini.

MASALAH 5.1

Ahmad dan Beno harus menyelesaikan suatu proyek dalam jangka

waktu yang sudah ditentukan. Oleh karena itu, pekerjaan tersebut

akan dibagi menurut kemampuan masing-masing. Ahmad

menyelesaikan 3/8 bagian, Beno menyelesaikan 1/4 bagian.

Tentukan jumlah bagian yang dikerjakan oleh Ahmad dan Beno!

Gambar 5.1 Ahmad dan Beno Sedang Bekerja di Proyek

KEGIATAN BELAJAR-5 PENJUMLAHAN DAN PENGURANGAN

BILANGAN PECAHAN


a. Informasi apa Informasi apa yang bisa kamu peroleh dari masalah di atas?

b. Bagaimana cara menjumlahkan bagian yang dikerjakan oleh Ahmad dan

Beno?

Membuat

Perencanaan

Memahami masalah

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................


c. Tentukanlah jumlah bagian yang dikerjakan oleh Ahmad dan Beno?

d. Menurut Riko jumlah bagian yang dikerjakan oleh Ahmad dan Beno adalah

8

5 bagian. Sedangkan menurut Rahmad adalah

12



Melaksanakan

Rencana

Memeriksa

Kembali Hasil yang

Diperoleh

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

.......................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................



MASALAH 5.2

Memahami

masalah

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

Tuti membawa selayang kue bolu ke sekolahnya untuk dibagi-bagi

di kelasnya pada saat ulang tahunnya. Pembagiannya seperti

berikut, untuk gurunya 1/6 bagian, untuk siswa perempuan 5/8

bagian dan sisanya untuk siswa laki-laki. Tentukanlah bagian kue

untuk siswa laki-laki!

Gambar 5.2 Acara Ulang Tahun Tuti di Kelas

Bersama Teman dan Gurunya


b. Bagaimana cara menentukan bagian kue untuk siswa laki-laki?

c. Tentukanlah bagian kue untuk siswa laki-laki?

Membuat

Perencanaan

Melaksanakan

Rencana

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................


d. Menurut Riko jumlah bagian yang dikerjakan oleh Ahmad dan Beno adalah

8

5 bagian. Sedangkan menurut Rahmad adalah

24



Memeriksa

Kembali Hasil yang

Diperoleh

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

MASALAH 5.3

Pak Togar seorang karyawan di sebuah perusahaan. Setiap bulan ia

menerima gaji Rp. 840.000,00. Dari gaji tersebut 1/3 bagian

digunakan untuk kebutuhan rumah tangga, 1/5 bagian untuk

membayar pajak, 1/4 bagian untuk biaya pendidikan anak, dan

sisanya ditabung. Berapa bagiankah uang Pak Togar yang ditabung?

Gambar 5.3 Pak Togar Sedang Menulis Rincian Biaya



b. Bagaimana cara menentukan bagian uang Pak Togar yang ditabung?

Membuat

Perencanaan

Memahami

masalah

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................


c. Hitunglah berapa bagian uang Pak Togar yang ditabung?

d. Menurut Noni uang yang ditabung Pak Togar ada 60

13 bagian. Sedangkan

menurut Bima adalah 12

3. Menurut kamu, siapakah yang benar?

Melaksanakan

Rencana

Memeriksa

Kembali Hasil yang

Diperoleh

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................



Latihan 5

1. Kakak memberi 2

15 m kain polos dan

8

22 m kain corak. Panjang kain yang

diberikan kakak seluruhnya?

Gambar 5.4 Kakak Sedang Memberi Kain


............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.......................................................................................................................................... .......................

............................................................................................................ .....................................................

Penyelesaian:


............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

b. Bagaimana cara menentukan panjang kain yang diberikan kakak

seluruhnya?

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

................................................................................................................................................. ................

.................................................................................................................................................................

.................................................................................................................................................................

.................................................................................................................................................................

.................................................................................................................................................................

c. Berapa panjang kain yang diberikan kakak seluruhnya?

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................. ...............................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

....................................................................................................................................... ..........................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

Penyelesaian:

Penyelesaian:


d. Menurut Nani panjang kain yang diberikan kakak adalah 8

75 m. Sedangkan

menurut Era panjang kain yang diberikan kakak adalah 8

76 m. Menurut


..................................................................................................................................................... ............

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................................. ....................

................................................................................................................................................................

2. Beno, dan Cepot harus menyelesaikan suatu proyek dalam jangka waktu

yang sudah ditentukan. Oleh karena itu, pekerjaan tersebut akan dibagi

menurut kemampuan masing-masing. Beno menyelesaikan 1/4 bagian, dan

Cepot menyelesaikan 15/40 bagian. Tentukan jumlah bagian yang

dikerjakan oleh Beno dan Cepot?

Gambar 5.5 Beno dan Cepot Sedang Menyelesaikan Proyek

Penyelesaian:



........................................................................................................................................................ .........

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

................................................................................................................................................ .................

.................................................................................................................. ...............................................

............................................................................................................................. ....................................

.................................................................................................................................................................

b. Bagaimana bagian yang dikerjakan oleh Beno dan Cepot?

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................................ .....................

.............................................................................................................. ...................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

c. Hitunglah bagian yang dikerjakan oleh Beno dan Cepot?

.................................................................................................................................................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

Penyelesaian:

Penyelesaian:

Penyelesaian:


............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

................................................................................................................................. ................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.............................................................................................................................................................. ...

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

...................................................................................................................................................... ...........

........................................................................................................................ .........................................

d. Menurut Budi jumlah bagian yang dikerjakan oleh Beno dan Cepot adalah

8

5 bagian. Sedangkan menurut Mitha adalah

8


siapakah yang benar?

.................................................................................................................................... .............................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

......................................................................................................................................................... ........

........................................................................................................................... ......................................

............................................................................................................................. ....................................

.................................................................................................................................................................

Penyelesaian:


3. Dua pertiga dari permukaan bumi adalah lautan. Berapa bagian dari

permukaan bumi yang berupa daratan?

Gambar 5.6 Peta Permukaan Bumi


............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.......................................................................................................................................................... .......

b. Bagaimana cara menentukan bagian permukaan bumi yang berbentuk

daratan?

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

Penyelesaian:

Penyelesaian:


...................................................................................................................................... ...........................

........................................................................................................ .........................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

c. Berapa bagian dari permukaan bumi yang berupa daratan?

………………………………………………………………………………………………………………...…

……….....……………………………………………………………………………………...........................

....................................................................................................................................... .........................

…………………………………………………………………………………………………………………...

……….....……………………………………………………………………………………...........................

....................................................................................................................................... ..........................

…………………………………………………………………………………………………………………...

……….....……………………………………………………………………………………...........................

....................................................................................................................................... .........................

d. Menurut Budi ada satu pertiga bagian dari permukaan bumi yang berupa

daratan. Sedangkan menurut Iwan ada lima pertiga bagian dari

permukaan bumi yang berupa daratan. Menurut kamu, siapakah yang


…………………………………………………………………………………………………………………..

……….....……………………………………………………………………………………...........................

....................................................................................................................................... .........................

…………………………………………………………………………………………………………………...

……….....……………………………………………………………………………………...........................

....................................................................................................................................... .........................

…………………………………………………………………………………………………………………

……….....……………………………………………………………………………………...........................

....................................................................................................................................... ..........................

................................................................................................................................................ .................

Penyelesaian:

Penyelesaian:


4. Dalam pemilihan ketua kelas terdapat 3 calon yang akan dipilih, yaitu

Andika, Benito, dan Chandra. Setelah diadakan pemungutan suara,

ternyata Andika memperoleh 3/5 bagian suara dan Benito

memperoleh 1/3 bagian suara. Jika banyak siswa di kelas itu 45 orang,

Berapa banyak suara yang diperoleh Chandra?

Gambar 5.7 Pemilihan Ketua Kelas


…………………………………………………………………………………………………………………...

……….....……………………………………………………………………………………...........................

................................................................................................................................................................

………………………………………………………………………………………………………………...…

……….....……………………………………………………………………………………...........................

................................................................................................................................................................

…………………………………………………………………………………………………………………

……….....……………………………………………………………………………………...........................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................... .............

...................................................................................................................... ...........................................

Penyelesaian:


b. Bagaimana cara mengetahui banyak suara yang diperoleh Chandra?

…………………………………………………………………………………………………………………..

……….....……………………………………………………………………………………...........................

......................................................................................................................................................... .......

…………………………………………………………………………………………………………………...

……….....……………………………………………………………………………………...........................

............................................................................................................................................ ....................

…………………………………………………………………………………………………………………

……….....……………………………………………………………………………………...........................

.....................……………………………………………………………………………………………………

c. Hitunglah banyak suara yang diperoleh Chandra?

……….....……………………………………………………………………………………...........................

................................................................................................................................................................

…………………………………………………………………………………………………………………...

……….....……………………………………………………………………………………...........................

.................................................................................................................................................................

…………………………………………………………………………………………………………………...

……….....……………………………………………………………………………………...........................

......................................................................................................................................................... .......

…………………………………………………………………………………………………………………...

……….....……………………………………………………………………………………...........................

d. Menurut Harun banyak suara yang diperoleh Chandra ada 4 suara. Sedangkan menurut Masda adalah 3 suara. Menurut kamu, siapakah yang benar?

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

Penyelesaian:

Penyelesaian:

Penyelesaian:


............................................................................................................................................................. ....

.................................................................................................................................................................

.................................................................................................................................................................

......................................................................................................................................................... ........

........................................................................................................................... ......................................

............................................................................................................................. ....................................

.................................................................................................................................................................

5. Pak Dedi memiliki sebidang tanah. 4

1 bagian dari luas tanah tersebut

dibuat kolam ikan, 5

2 bagian dipasang keramik, dan sisanya ditanami

rumput. Berapa bagiankah yang ditanami rumput?

Gambar 5.8 Tanah Pak Dedi


.................................................................................................................................................................

............................................................................................................................. ....................................

..................................................................................................................................... ............................

.................................................................................................................................................................

............................................................................................................................................................. ....

.................................................................................................................................................................

.................................................................................................................................................................

Penyelesaian:


............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

b. Bagaimana cara menentukan bagian tanah pak Dedi yang ditanami

rumput?

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................................................. ....

.................................................................................................................................................................

.................................................................................................................................................................

....................................................................................................................................... ..........................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

c. Berapa bagian dari tanah pak Dedi yang ditanami rumput?

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................. ...............................

.................................................................................................................................................................

............................................................................................................................................................. ....

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

Penyelesaian:

Penyelesaian:


d. Menurut Ika ada 3

2 bagian tanah pak Dedi yang ditanami rumput.

Sedangkan menurut Eli ada 20

7 bagian tanah pak Dedi yang ditanami

rumput. Menurut kamu, siapakah yang paling benar? Berikan alasanmu!

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................................................ .....

.

Orang-orang yang sukses selalu berpikir dulu baru bertindak; tapi orang-orang yang gagal bertindak

dulu baru berpikir

Penyelesaian:


Indikator :


memahamidan menyelesaikan masalah

yang berhubungan dengan perkalian

dan pembagian bilangan pecahan.

Petunjuk !!



yang diberikan



berhubungan dengan perkalian dan pembagian bilangan pecahan. Untuk lebih


MASALAH 6.1

Pada penerimaan siswa baru di sebuah SMP swasta terdapat 3

2

dari jumlah pendaftar tahun sebelumnya dan hanya 75% yang

memenuhi kriteria penerimaan. Dari calon siswa yang memenuhi

kriteria tersebut hanya 1/5 bagian yang diterima. Berapa jumlah

siswa baru yang diterima?

Gambar 6.1 Pengumuan Penerimaan Siswa Baru

KEGIATAN BELAJAR-6 PERKALIAN DAN PEMBAGIAN

BILANGAN PECAHAN



b. Bagaimana cara menentukan jumlah siswa baru yang diterima?

Membuat

Perencanaan

Memahami

masalah

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

................


c. Berapa jumlah siswa baru yang diterima?

d. Menurut Kiki jumlah siswa baru yang diterima adalah 15

2 dari jumlah

pendaftar tahun lalu. Sedangkan menurut Eka jumlah siswa baru yang

diterima adalah 10

1 dari jumlah pendaftar tahun lalu. Menurut kamu,


Melaksanakan

Rencana

Memeriksa

Kembali Hasil yang

Diperoleh

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................



MASALAH 6.2

Memahami

masalah

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

Ibu Dinda mempunyai 3 orang anak putri. Ibu ini bermaksud

membagikan sehelai kain sutera yang panjangnya 92/3 meter.

Masing-masing putrinya memperoleh panjang yang sama.

Tentukanlah panjang kain yang diberikan ibu Dinda untuk masing-

masing anak-anaknya?

Gambar 6.2 Ibu Memberi Sehelai Kain Sutra

Kepada Tiga Putrinya


b. Bagaimana cara menentukan panjang kain yang diberikan ibu Dinda

kepada masing-masing anak-anaknya?

c. Berapa panjang kain yang diberikan kepada masing-masing anak-

anaknya?

Membuat

Perencanaan

Melaksanakan

Rencana

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

.......................................................................................................................


d. Menurut Nani panjang kain yang diberikan ibu Dinda kepada masing-

masing anak-anaknya adalah 8

75 m. Sedangkan menurut Era adalah

8

76 m.

Menurut kamu, siapakah yang paling benar? Berikan alasanmu!

Memeriksa

Kembali Hasil yang

Diperoleh

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................



Latihan 6

1. Sebuah tangki berisi minyak tanah yang cukup untuk mengisi 65 botol

besar dan 48 botol kecil. Setiap botol besar berisi 2

11 liter, dan setiap botol

kecil berisi 5

3liter. Berapa liter minyak tanah yang terdapat dalam tangki

tersebut?

Gambar 6.3 Tangki Minyak Motor


............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

Penyelesaian:


............................................................................................................................. ....................................

...................................................................................................................................... ...........................

........................................................................................................ .........................................................

............................................................................................................................. ....................................

b. Bagaimana cara menghitung volume minyak tanah yang terdapat dalam

tangki?

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.............................................................................................................. ...................................................

....................................................................................................................................................... ..........

.................................................................................................................................................................

............................................................................................................................. ....................................

c. Berapa liter minyak tanah yang terdapat dalam tangki tersebut?

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................... .............

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

Penyelesaian:

Penyelesaian:


d. Menurut Wenni volume minyak tanah yang terdapat dalam tangki adalah

98 liter. Sedangkan menurut Urip adalah 97,5 liter. Menurut kamu,


................................................................................................................................ .................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................................................. ....

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

2. Diketahui luas sebidang tanah berbentuk persegi panjang adalah 2

205m2.

Jika lebar lahan tersebut 2

15m. Tentukan panjangnya!

Gambar 6.4 Sebidang Tanah


................................................................................................................................................................ .

.................................................................................................................................................................

............................................................................................................................. ....................................

Penyelesaian:

Penyelesaian:


.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

b. Bagaimana cara menentukan panjang sebidang tanah?

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.......................................................................................................................... .......................................

............................................................................................................................................................. ....

c. Berapa panjang sebidang tanah?

............................................................................................................................................... ..................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

....................................................................................................................................... ..........................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

Penyelesaian:

Penyelesaian:


d. Menurut Susi panjang sebidang tanah adalah 3

40. Sedangkan menurut

Lewi adalah 3

41m. Menurut kamu, siapakah yang benar? Berikan

alasanmu!

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

...................................................................................................................................... ...........................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.............................................................................................................................. ...................................

3. Untuk memenuhi kebutuhan keluarga, ayah membeli beras sebanyak 40

kg. Ayah memiliki empat orang anak. Setiap anggota keluarga rata-rata

memerlukan 8

3kg beras untuk makan setiap hari. Untuk berapa lama

persediaan beras tersebut akan habis?

Gambar 6.5 Ayah Mendorong Beras

Penyelesaian:



............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................. ...............................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................................................... ..

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

b. Bagaimana cara menentukan lama persediaan beras tersebut akan habis?

............................................................................................................................. ....................................

.................................................................................................................................................................

.............................................................................................................. ...................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................... .............................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

c. Berapa lama persediaan beras tersebut akan habis?

.................................................................................................................................................................

.................................................................................................................................................................

Penyelesaian:

Penyelesaian:

Penyelesaian:


...................................................................................................................................... ...........................

........................................................................................................ .........................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.............................................................................................................................. ...................................

.................................................................................................................................................................

............................................................................................................................. ....................................

........................................................................................................................................................... ......

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

................................................................................................................................................ .................

d. Menurut Lina persediaan beras akan habis selama 3

120 hari. Sedangkan

menurut Priska adalah 3

121 hari. Menurut kamu, siapakah yang paling


............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.............................................................................................................................................................. ...

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

Penyelesaian:


...................................................................................................................................................... ...........

........................................................................................................................ .........................................

4. Di sepanjang tepi jalan raya yang panjangnya 400 meter akan dipasangi

lampu penerang jalan. Jarak antara dua buah tiang lampu adalah

2

25meter. Tentukan banyak lampu yang diperlukan untuk kebutuhan jalan

raya?

Gambar 6.6 Pemasangan Lampu Tepi Jalan Raya


................................................................................................................ .................................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

Penyelesaian:


...................................................................................................................................... ...........................

........................................................................................................ .........................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

b. Bagaimana cara menentukan banyak lampu yang diperlukan untuk

kebutuhan jalan raya?

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

................................................................................................................................... ..............................

.................................................................................................................................................................

.................................................................................................................................................................

................................................................................................................................................................ .

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

........................................................................................................................................................ .........

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

c. Tentukan banyak lampu yang diperlukan untuk kebutuhan jalan raya?

.................................................................................................................................................................

.................................................................................................................................................................

....................................................................................................................................... ..........................

.................................................................................................................................................................

Penyelesaian:

Penyelesaian:


............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................... ..................................

.................................................................................................................................................................

............................................................................................................................. ....................................

........................................................................................................................................................... ......

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

d. Menurut Mega banyak lampu yang diperlukan untuk kebutuhan jalan raya

adalah 32 lampu. Sedangkan menurut Vina adalah 22 lampu. Menurut


.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

..................................................................................................................................................... ............

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................


dulu baru berpikir

Penyelesaian:


Indikator :

Siswa diharapkan dapat memahami

dan menyelesaikan masalah yang

berhubungan dengan bilangan

berpangkat bulat positif.

Petunjuk !!



yang diberikan



berhubungan dengan bilangan berpangkat bulat positif. Untuk lebih


MASALAH 7.1

Seorang arsitek dipercayakan oleh seorang pemilik rumah untuk

membangun rumah minimalis. Rumah minimalis tersebut

berbentuk kubus. Pemilik rumah yang akan dibuatnya itu

menginginkan ukuran volume rumahnya adalah 512 m3. Berapa

meter panjang rusuk dari rumah tersebut yang diperlukan arsitek

untuk membuat pilar rumah tersebut?

Gambar 7.1 Rumah Minimalis

KEGIATAN BELAJAR-7 BILANGAN BERPANGKAT

BULAT POSITIF



b. Bagaimana cara mengetahui berapa meter panjang rusuk dari rumah

minimalis tersebut untuk membuat pilar rumah tersebut?

Membuat

Perencanaan

Memahami

masalah

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

....................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................

...........................................................................................................................


c. Hitunglah berapa meter panjang rusuk dari rumah minimalis tersebut?

d. Menurut Rosa panjang rusuk dari rumah minimalis tersebut adalah 7

meter. Sedangkan menurut Santi adalah 8 m. Menurut kamu, siapakah


Melaksanakan

Rencana

Memeriksa

Kembali Hasil yang

Diperoleh

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........



MASALAH 7.2

Memahami

masalah

Pada ilmu fisika dipelajari tentang panjang gelombang. Berikut tabel

dalam penggunaan pangkat dalam panjang gelombang yang dapat

memudahkan dalam menghitung panjang atau tidaknya panjang

gelombang.

Faktor Awalan Simbol

103 Kilo K

106 Mega M

109 Giga G

1012 Tera T

Berdasarkan tabel tersebut, simbol mana yang mempunyai faktor

yang terbesar?

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................


b. Bagaimana cara menentukan faktor yang terbesar dari simbol pada tabel

tersebut?

c. Tentukanlah simbol mana yang mempunyai faktor yang terbesar?

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.

Membuat

Perencanaan

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.

Melaksanakan

Rencana


d. Menurut Linda simbol yang mempunyai faktor terbesar adalah K.

Sedangkan menurut Susi adalah T. Menurut kamu, siapakah yang benar?

Berikan alasanmu!

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

Memeriksa

Kembali Hasil yang

Diperoleh

MASALAH 7.3

Sebuah mobil bergerak di suatu tikungan yang berbentuk

seperempat lingkaran dengan jari-jari 16 m. Mobil melaju dengan

kecepatan tetap 57,6 km/jam. Berapa m/s2 percepatan sentripetal

mobil tersebut?

Gambar 7.3 Mobil di Tikungan Jalan



b. Bagaimana cara menentukan percepatan sentripetal mobil tersebut?

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

......................................................................................................................

Membuat

Perencanaan

Memahami

masalah

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................


c. Berapa m/s2 percepatan sentripetal mobil tersebut?

d. Menurut Widya percepatan sentripetal mobil tersebut adalah 16 m/s2.

Sedangkan menurut Yanti adalah 26 m/s2. Menurut kamu, siapakah yang

benar?

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.

Memeriksa

Kembali Hasil yang

Diperoleh

Melaksanakan

Rencana



Latihan 7

1. Sebuah bak mandi berbentuk kubus dan mempunyai panjang rusuk 9,2

dm. Berapa milli liter volume bak mandi tersebut?

Gambar 7.4 Bak Mandi Berbentuk Kubus


.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................................... ..................

.................................................................................................................................................................

Penyelesaian:


............................................................................................................................. ....................................

.................................................................................................................................................................

b. Bagaimana cara mengetahui berapa milimeter volume bak mandi?

.................................................................................................................................................................

.................................................................................................................................................................

..................................................................................................................................... ............................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

c. Berapa milli liter volume bak mandi?

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

......................................................................................................................................... ........................

.................................................................................................................................................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................... ..................................

.................................................................................................................................................................

............................................................................................................................. ....................................

Penyelesaian:

Penyelesaian:


d. Menurut Giska volume bak mandi adalah 776, 678 ml. Sedangkan menurut

Diva adalah 778,688 ml. Menurut kamu, siapakah yang paling benar?

Berikan alasanmu!

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

................................................................................................................................................. ................

.................................................................................................................. ...............................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

2. Sebuah benda bermassa 6 kg bergerak dengan kecepatan 27m/det. Berapa

Joule energy kinetik benda tersebut! (Ek = ½. m. v2)

Gambar 7.5 Benda Dilemparkan

Penyelesaian:



............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.......................................................................................................................................................... .......

b. Bagaimana cara menentukan energi kinetik benda?

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................... ..................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................................................ .....

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

c. Berapa Joule besar energi kinetik benda?

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

Penyelesaian:

Penyelesaian:

Penyelesaian:


............................................................................................................................. ....................................

................................................................................................................................. ................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.............................................................................................................................................................. ...

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

................................................................................................................................................... ..............

.................................................................................................................................................................

d. Menurut Lenni besar energy kinetik benda adalah 2.187 Joule. Sedangkan

menurut Diah adalah 2817 Joule. Menurut kamu, siapakah yang paling


.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

................................................................................................................................... ..............................

.................................................................................................................................................................

............................................................................................................................. ....................................

................................................................................................................................................................ .

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.

3. Suatu alat listrik mempunyai hambatan 2 x 102 ohm dialiri arus 3 x 102

Ampere selama 2 menit. Berapa joule besarnya energy listrik yang

digunakan? (W = I2 x R x t)

Penyelesaian:


Gambar 7.6 Listrik yang Dialiri Arus


.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

........................................................................................................................................................ .........

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

b. Bagaimana cara menentukan energi listrik yang digunakan?

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

Penyelesaian:

Penyelesaian:


.......................................................................................................... .......................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

c. Berapa joule besarnya energi listrik yang digunakan?

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

....................................................................................................................................................... ..........

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

........................................................................................................................................... ......................

............................................................................................................ .....................................................

............................................................................................................................. ....................................

d. Menurut Ferri besar energy yang digunakan adalah 2,16 x 104 Joule.

Sedangkan menurut Leoni adalah 2,16 x 109 Joule. Menurut kamu,

siapakah yang paling benar? Berikan alasanmu!

Penyelesaian:

Penyelesaian:


.................................................................................................................. ...............................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

........................................................................................................................................ .........................

.......................................................................................................... .......................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

4. Sebuah benda dijatuhkan dari puncak sebuah gedung. Hasil pengukuran

menunjukkkan bahwa waktu benda sampai jatuh ke tanah adalah 4,9

detik. Jika percepatan gravitasi bumi di tempat itu 9,8 m/detik2, berapa

meterkah tinggi gedung tersebut? (Untuk mencari tinggi gedung gunakan

rumus: h = ½ gt2)

Gambar 7.7 Benda yang Dijatuhkan


.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

Penyelesaian:


.................................................................................................................................................................

............................................................................................................................. ....................................

...................................................................................................................................................... ...........

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

........................................................................................................................................... ......................

b. Bagaimana cara menentukan tinggi gedung?

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

..................................................................................................................................................... ............

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

........................................................................................................................................... ......................

.................................................................................................................................................................

c. Berapa meter tinggi gedung?

............................................................................................................................. ....................................

.................................................................................................................................................................

Penyelesaian:

Penyelesaian:


.................................................................................................................................................................

............................................................................................................................. ....................................

................................................................................................................................................................ .

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

d. Menurut Dion tinggi gedung adalah 116, 749 m. Sedangkan menurut Ketty

adalah 117,649 m. Menurut kamu, siapakah yang paling benar? Berikan

alasanmu!

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

..................................................................................................................................................... ............

...................................................................................................................... ...........................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.

Orang-orang yang sukses selalu berpikir dulu baru bertindak; tapi

orang-orang yang gagal bertindak dulu baru berpikir

Penyelesaian:


Indikator :

Siswa diharapkan dapat memahami

dan menyelesaikan masalah yang

berhubungan dengan kelipatan

persekutuan terkecil dan faktor

persekutuan terbesar.

Petunjuk !!



yang diberikan



berhubungan dengan kelipatan persekutuan terkecil dan faktor persekutuan

terbesar. Untuk lebih memahaminya, Mari kita selesaikan masalah yang disajikan

berikut ini.

MASALAH 8.1

Tiga bus kota dengan jurusan yang berbeda meninggalkan terminal

yang sama, dan akan kembali ke terminal tersebut setiap 60 menit,

80 menit, dan 120 menit. Jika ketiga bus tersebut meninggalkan

terminal secara bersamaan pada pukul 05.30 pagi, pada pukul

berapa ketiga bus akan bertemu di terminal yang sama tersebut?

Gambar 8.1 Terminal Bus

KEGIATAN BELAJAR-8 KELIPATAN PERSEKUTUAN TERKECIL

DAN FAKTOR PERSEKUTUAN TERBESAR



b. Bagaimana cara menentukan pada pukul berapa ketiga bus akan bertemu

di terminal yang sama?

Membuat

Perencanaan

Memahami

masalah

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

........................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................

.....................................................................................................................


c. Pada pukul berapa ketiga bus akan bertama di terminal yang sama?

d. Menurut Supri ketiga bus akan bertemu di terminal yang sama pada pukul

09.30 pagi. Sedangkan menurut Dirham pada pukul 10.00. Menurut kamu,

siapakah yang paling benar? Berikan alasanmu!

Melaksanakan

Rencana

Memeriksa

Kembali Hasil yang

Diperoleh

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

.......................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

.....................................................................................................



MASALAH 8.2

Memahami

masalah

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

.........................................................................................................................

Menjelang bulan puasa, Pak Budi membagikan bantuan kepada para

tetangganya berupa 96 kg beras, 80 bungkus mie instan dan 64

kemasan minyak goreng. Setiap orang mendapat bagian yang sama

banyak, maka tetangga Pak Budi yang mendapat bantuan adalah

sebanyak berapa orang?

Gambar 8.2 Pak Budi Memberi Bantuan Kepada Tetangga


b. Bagaimana cara menentukan ada berapa orang tetangga Pak Budi yang

mendapat bantuan?

c. Berapa banyak tetangga pak Budi yang mendapat bantuan?

Membuat

Perencanaan

Melaksanakan

Rencana

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

.......................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

........................................................................................................................

.......................................................................................................................


d. Menurut Kiki tetangga pak Budi yang mendapat bantuan ada sebanyak 8

orang. Sedangkan menurut Arman adalah sebanyak 9 orang. Menurut


Memeriksa

Kembali Hasil yang

Diperoleh

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................

..........................................................................................................................



Latihan 8

1. Shela datang ke perpustakaan sekolah setiap 8 hari sekali. Arnis datang

setiap 5 hari sekali dan Indra datang setiap 10 hari sekali. Jika pada

tanggal 8 Januari 2012 mereka datang ke perpustakaan bersama-sama,

pada tanggal berapa mereka akan datang ke perpustakaan bersama-sama

lagi untuk kedua kalinya?

Gambar 8.3 Perpustakan


............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

Penyelesaian:


.................................................................................................................................................................

...................................................................................................................... ...........................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

........................................................................................................................................... ......................

b. Bagaimana cara menentukan tanggal berapa Shela, dan Arnis bersama-

sama lagi untuk kedua kalinya?

.................................................................................................................................. ...............................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................................................... ..

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

...................................................................................................................................................... ...........

........................................................................................................................ .........................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

c. Tanggal berapa Shela dan Arnis bersama-sama lagi untuk kedua kalinya?

............................................................................................................................. ....................................

.................................................................................................................................................................

Penyelesaian:

Penyelesaian:


.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................................................... ..

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

..................................................................................................................................................... ............

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................................. ....................

d. Menurut Dora bahwa Shela dan Arnis bersama-sama lagi untuk kedua

kalinya adalah pada tanggal 16 Februari 2012. Sedangkan menurut Dedi

adalah pada tanggal 17 Februari 2012. Menurut kamu, siapakah yang


............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

..................................................................................................................................................... ............

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

Penyelesaian:


............................................................................................................................. ....................................

............................................................................................................................. ...................................

.

2. Sebuah bak mandi mempunyai dua buah kran, yaitu kran besar dank ran

kecil. Jika kran kecil dibuka dank ran besar ditutup, bak mandi akan penuh

setelah 60 menit. Jika kran besar dibuka dank ran kecil ditutup, bak mandi

akan penuh dalam waktu 40 menit. Berapa menit dibutuhkan untuk

memenuhi bak mandi jika kedua kran dibuka?

Gambar 8.4 Bak Mandi


............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

Penyelesaian:


............................................................................................................................. ....................................

.......................................................................................................................................................... .......

............................................................................................................................ .....................................

............................................................................................................................. ....................................

b. Bagaimana cara menentukan waktu yang dibutuhkan untuk memenuhi

bak mandi jika kedua kran dibuka?

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

c. Berapa menit dibutuhkan untuk memenuhi bak mandi jika kedua kran

dibuka?

.................................................................................................................................................................

.................................................................................................................................................................

.............................................................................................................................................. ...................

................................................................................................................ .................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

Penyelesaian:

Penyelesaian:


............................................................................................................................. ....................................

..................................................................................................................................... ............................

.................................................................................................................................................................

............................................................................................................................. ....................................

................................................................................................................................................................ .

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

........................................................................................................................................................ .........

.................................................................................................................................................................

............................................................................................................................. ....................................

d. Menurut Risma waktu yang dibutuhkan untuk memenuhi bak mandi

adalah 20 menit. Sedangkan menurut Silvia adalah 30 menit. Menurut


.......................................................................................................................... .......................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

................................................................................................................................................ .................

.................................................................................................................. ...............................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................... .............................

.................................................................................................................................................................

Penyelesaian:


............................................................................................................................. ....................................

................................................................................................................................................................ .

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

3. Ali bersepeda dari kota Yogyakarta ke Solo dengan kecepatan rata-rata 20

km/jam, berangkat pukul 07.00. Satu jam kemudian Bambang menyusul

Ali naik sepeda motor dengan kecepatan 30 km/jam. Pada km berapa dan

pada pukul berapa Bambang menyusul Ali?

Gambar 8.5 Ali Bersepeda


............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

...................................................................................................................................................... ...........

Penyelesaian:


........................................................................................................................ .........................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................................. ....................

b. Bagaimana cara menentukan pada km berapa dan pukul berapa Bambang

menyusul Ali?

..................................................................................................................................................... ............

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................................. ....................

.............................................................................................................. ...................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

................................................................................................................................................................

............................................................................................................................. ...................................

c. Pada km berapa dan pukul berapa Bambang menyusul Ali?

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

Penyelesaian:

Penyelesaian:


.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................................................ .....

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................................... ..................

................................................................................................................ .................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ...................................

................................................................................................................................................................

............................................................................................................................. ...................................

.................................................................................................................................... ............................

d. Menurut Edo Bambang menyusul Ali pada 20 km dan pukul 08.00.

Sedangkan menurut Simon adalah pada 20 km dan pukul 09.00. Menurut


............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

.................................................................................................................................................................

.................................................................................................................................................................

............................................................................................................................. ....................................

................................................................................................................................ .................................

.................................................................................................................................................................

Penyelesaian:


............................................................................................................................. ....................................

............................................................................................................................................................ .....

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................

............................................................................................................................. ....................................

.................................................................................................................................................................

............................................................................................................................. ....................................


dulu baru berpikir

berbasis pendekatan matematika realistik kelas vii smp · (las) matematika kelas vii smp. selain...

Documents