addition and multiplication.pptx

7/22/2019 Addition And Multiplication.pptx

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dditionndMultiplication


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Created By :Nova Nur ArafahKartika DewiHery Kurniawan


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If a denotes the number of elements of set A and bthe number of elements of set B, and if A and Bhave no common elements, the number ofelements of the union of A and B is denoted bya b. This method of combining numbers iscalled addition.

Definition Addition


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Definition Multiplication

If a donates the number of elements of theproper set A and b the number of elements ofthe proper set B, the number of elements in the

product of the set A and B is the product of thenumbers a and b denoted by ab, a(b), or a * b.

The numbers to be multiplied are called factors

or multipliers and the process of forming theproduct is called multiplication.


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a. Commutative properties

Commutative properties also called exchange properties .These properties only apply to the operations of addition andmultiplication .

Commutative properties on dditionThe general form of the commutativity of the sum isa + b = b + a.

Example :5 + 7 = 127 + 5 = 12So , 5 + 7 = 7 + 5


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The commutativity of the multiplicationThe general form of the multiplication iscommutative properties a x b = b x aExample :5 7 = 357 5 = 35So 5 7 = 7 5


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b . Associative properties

Associative properties of nature also called grouping .

This trait is also only applies to the operations of

addition and multiplication .

The general form of the associative properties of

addition operation

( a + b ) + c = a + ( b + c )

and multiplication ( axb ) x c = a x ( bxc ) .


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Associative properties on AdditionThe general form of the associative properties of additionoperation( a + b ) + c = a + ( b + c )

Example :( 5 + 3 ) + 4 = 8 + 4 = 125 + ( 3 + 4 ) = 5 + 7 = 12So , ( 5 + 3 ) + 4 = 5 + ( 3 + 4 )

In MultiplicationThe general form of the associative properties ofmultiplication operations( a x b ) x c = a x ( b x c ) .

Example :( 5 3 ) 4 = 15 4 = 605 ( 3 4 ) = 5 12 = 60So , ( 5 3 ) 4 = 5 ( 3 4 ) .


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c . Distributive properties

Distributive properties there are two , namely:Distributive properties of multiplication of the sum of the

general form

a x ( b + c ) = (a x b ) + (a x c ) .

Example :

6 ( 4 + 5 ) = 6 9 = 54

( 6 4 ) + ( 6 5 ) = 24 + 30 = 54

So , 6 ( 4 + 5 ) = ( 6 4 ) + ( 6 5 )


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Distributive properties of multiplication to thereduction of the general form

a x ( b - c ) = (a x b ) - (a x c )

Example:

7 ( 9-6 ) = 7 3 = 21

( 7 9 ) - ( 7 6 ) = 63-42 = 21So , 7 ( 9-6 ) = ( 7 9 ) - ( 7 6 )


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addition and multiplication.pptx

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