Algebra Den

Associative Property (Addition of Whole Numbers)

Explanation
Addition is Associative for Whole Numbers, this means that in an addition expression; even if we make different groups with same given whole numbers, then also the sum in all the groups always remains the same. This property is also known as Associativity of Addition of Whole Numbers

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

Example 1 = Explain Associative Property for addition 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
= 11 + 7     = 18
Group 2 = 5 + (6 + 7)
= 13 + 7     = 18
As, in both the groups the sum is same i.e 18
So, we can say that Addition is Associative for Whole Numbers.

Example 2 = Explain Associative Property for addition 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
= 50 + 40     = 90
Group 2 = 20 + (30 + 40)
= 20 + 70     = 90
As, in both the groups the sum is same i.e 90
So, we can say that Addition is Associative for Whole Numbers.

Example 3 = Explain Associative Property for addition 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
= 25 + 10     = 35
Group 2 = 5 + (20 + 10)
= 5 + 30     = 35
As, in both the groups the sum is same i.e 35
So, we can say that Addition is Associative for Whole Numbers.