What is distributive property and associative property


Distributive Property:

The distributive property of multiplication states that when a factor is multiplied by the sum or difference of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition or subtraction operation.

This property is symbolically stated as:

$a ( b+ c) = a\times b + a\times c$

$a( b-c) = a\times b - a\times c$

Associative law:

Associative law states that we can add or multiply the integers by using parenthesis any how.

i.e, If there are three integers $a,\ b$ and $c$, then according to associative law:

$a+( b+c)=( a+b)+c$                                 [Associative law for addition]

$a\times( b\times c)=( a\times b)\times c$    [Associative law for multiplication]


Simply Easy Learning

Updated on: 10-Oct-2022


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