Algebra Den

Associative Property (Multipication of Whole Numbers)

Explanation
Multipication is Associative for Whole Numbers, this means that in a multipication expression; even if make different groups with same given whole numbers, then also the product in all the groups always remains the same. This property is also known as Associativity of Additition of Whole Numbers

Associativity of Multipication of whole numbers can be further understood from the following examples:-

Example 1 = Explain Associative Property for multipication of whole numbers, with given whole numbers 5, 6, 7 ?
Answer = Given Whole Numbers = 5, 6, 7 and their two groups are as follows :-
Group 1 = (5 × 6) × 7
= 30 × 7
= 210
Group 2 = 5 × (6 × 7)
= 5 × 42
= 210
As, in both the groups the sum is same i.e 210
So, we can say that Multipication is Associative for Whole Numbers.

Example 2 = Explain Associative Property for multipication of whole numbers, with given whole numbers 20, 30, 40 ?
Answer = Given Whole Numbers = 20, 30, 40 and their two groups are as follows :-
Group 1 = (20 × 30) × 40
= 600 × 40
= 24000
Group 2 = 20 × (30 × 40)
= 20 × 1200
= 24000
As, in both the groups the sum is same i.e 24000
So, we can say that Multipication is Associative for Whole Numbers.

Example 3 = Explain Associative Property for multipication of whole numbers, with given whole numbers 5, 20, 10 ?
Answer = Given Whole Numbers = 5, 20, 10 and their two groups are as follows :-
Group 1 = (5 × 20) × 10
= 100 × 10
= 1000
Group 2 = 5 × (20 × 10)
= 5 × 200
= 1000
As, in both the groups the sum is same i.e 1000
So, we can say that Multipication is Associative for Whole Numbers.