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### Associative Property for Multiplication: a(bc) = (ab)c

Explanation :-
Let us discuss Associative Property for Multiplication of Whole Numbers

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

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

Example 1: Explain Associative Property for Multiplication 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
= 20 × 6 = 120
Group 2: 4×(5×6)
= 4 × 30 = 120
The result is the same in both the groups i.e 120
So, we can say that Multiplication is Associative for Whole Numbers.

Example 2: Explain Associative Property for Multiplication 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
= 200×30 = 6000
Group 2: 10×(20×30)
= 10×600 = 6000
The result is the same in both the groups i.e 6000
So, we can say that Multiplication is Associative for Whole Numbers.

Example 3: Explain Associative Property for Multiplication 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
= 50 × 15 = 750
Group 2: 5×(10×15)
= 5×150 = 750
The result is the same in both the groups i.e 750
So, we can say that Multiplication is Associative for Whole Numbers.