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Mathematics

M. Irfan fajar kX-4

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SetExponent and

Roots

Logarithm

Exit

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SetCollection,............

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Definition of set

it's a collection

you wear: these would include shoes,socks, hat, shirt, pants, and so on.

So it isjust things grouped together with acertain property in common.

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Notation

Intensional definition, using a rule or

semantic description:A is the set whose members are the firstfour positive integers.B is the set of colors of the Indonesian

flag. Extensionthat is, listing each

member of the set.J = {ghalib, bima, gema ,ramadhan}D = {1, 2, 3, 4}.

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Membership Element :

a part of b, a element of b,

Subset :all of a is part of b,AB

Superset :all of a is part of b, BA

Power set :the power set of the set {1, 2, 3} is {{1, 2,3}, {1, 2}, {1, 3}, {2, 3}, {1}, {2}, {3}, }so the formula is 2

The empty setthe symbol is {} or

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Special Sets Por, denoting the set of all primes:

P = {2, 3, 5, 7, 11, 13, 17, ....

N or, denoting the set of all natural numbers:N = {1, 2, 3, . . .} (sometimes defined containing 0).

Z or, denoting the set of all integers (whetherpositive, negative or zero):Z= {..., 2, 1, 0, 1, 2, ...}.

R or, denoting the set of all real numbers.

This set includes all rational numbers, together withall irrational numbers (that is, numbers whichcannot be rewritten as fractions, such as 2)

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Basic Operation Uniona add b, a b

Intersectiontwo sets have "in common, a b

ComplementsTwo sets can also be "subtracted, orexcpet

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Exponent and Roots = .........

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Definition Exponent

Exponent is A repeated multiplication ofthe same number.

The operation is called exponentiationand the expression is known as exponentnotation.

34The number 3 is called base number

And the 4 is called exponent

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Properties of Exponent. = +

=

() =

(.)= .

= 1

(

) =

with 0

=

=

=

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Definition of Root Root are Numbers in the root symbol which

cannot produce rational numbers.

4 = 2

8 = 2.82842,

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Properties of Root

= ( )

= . =

=

=

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Simplify the form of 2 To simplify them, there is a fast way, it is

( )

= 2

= 2 So,

2 = and

2 =

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Rationalizing the Denominatorof a Fraction

If there is

it can be rationalized by

multiplying with

so it will be

If there is

+ it can be rationalized by

multiplying with

so it wil be

( )

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Logarithmalog .......

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Definition

How many of one numberdo we multiplyto get another number?

How many 2s do we multiply to get 8?Answer:2 2 2 = 8So the logarithm is 3

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How to write?

International :

log2(8) = 3

Indonesia :

2log8 = 3Where the number 2 is the base..

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Properties

The main: = , log =

= log =

log . = log

log

log

= log log log = . log

log . log = 1

log . log = log

log =

. =

=

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YES

NO

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