What is Associative Property

Associative Property for Addition: a + (b + c) = (a + b) + c

Explanation :-
If a given expression forms different groups of whole numbers and the result of all the groups is the same. This is refered to as Associativity of Whole numbers.

Associativity of Whole numbers can be divided into:-
1). Addition of Whole Numbers
2). Multipication of Whole Numbers
Let us discuss Associative Property for Addition of Whole Numbers

Explanation :-
Addition of Whole Numbers is Associative in nature. The word "associative" means "group". In simple words Associative Property refers to grouping.
For addition, the rule is
a + (b + c) = (a + b) + c this means 2 + (3 + 4) = (2 + 3) + 4.

Let us consider the below mentioned examples to understand Associative Property (Associativity) of Addition of whole numbers.

Example 1: Explain Associative Property for addition of whole numbers, with given whole numbers 4, 5, 6 ?

Solution: Given Whole Numbers are 4, 5, 6 and their two groups are as follows :-
Group 1: (4 + 5) + 6
= 9 + 6 = 15
Group 2: 4 + (5 + 6)
= 4 + 11 = 15
The sum is the same in both the groups i.e 15
So, we can say that Addition is Associative for Whole Numbers.

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Example 2: Explain Associative Property for addition of whole numbers, with given whole numbers 10, 20, 30 ?

Solution: Given Whole Numbers = 10, 20, 30 and their two groups are as follows :-
Group 1: (10 + 20) + 30
= 30 + 30 = 60
Group 2: 10 + (20 + 30)
= 10 + 50 = 60
The sum is the same in both the groups i.e 60
So, we can say that Addition is Associative for Whole Numbers.

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Example 3: Explain Associative Property for addition of whole numbers, with given whole numbers 5, 10, 15 ?
Answer: Given Whole Numbers = 5, 10, 15 and their two groups are as follows :-
Group 1: (5 + 10) + 15
= 15 + 15 = 30
Group 2: 5 + (10 + 15)
= 5 + 25 = 30
The result is the same in both the groups i.e 30
So, we can say that Addition is Associative for Whole Numbers.

Read More:
Associative Property for Multiplication