Properties of multiplication
Properties of multiplication - Multiplication in mathematics including basic arithmetic, because that we must know abou it. Before we to next step, you must know about multiplication and integers ( you can click here or here about it ). After you know about multiplication, You will more easily understand about propersties of multiplication in integers.Properties of Multiplication :
a. the result of multiplying two integers can be determined based on the sign of the number.
1. (+) x (+) = (+) Example : 2 x 3 = 6
2. (+) x ( - ) = ( - ) Example : 2 x (-2) = -4
3. ( - ) x ( - ) = ( - ) Example : ( -2 ) x ( -3 ) = 6
b. The Commutativity of The Multiplication
For any integer
a x b = b x a
Example : 5 x 2 = 10 or
2 x 5 = 10 ( the answer is same although the location of the exchanged )
c. The Assosiative of The Multiplication
For any integer
( a x b ) x c = a x ( b x c )
Example : ( 2 x 3 ) x 4 = 6 x 4 = 24 or
2 x ( 3 x 4 ) = 2 x 12 = 24 ( the answer is same althoungh the location of the exchanged )
d. Multiplication by Zero
For multiplication by Zero you can click here
e. Distributive Properties
1. Distributive properties of the summation
For any integer
a x ( b + c ) = ( a x b ) + ( a x c )
Example : 2 x ( 2 + 3 ) = ( 2 x 2 ) + ( 2 + 3 )
= 4 + 6 = 10
2. Distributive properties of the reduction
For any integers
a x ( b - c ) = ( a x b ) - ( a x c )
Example : 2 x ( 8 - 3 ) = ( 2 x 8 ) - ( 2 x 3 )
= 16 - 6 = 10
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