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Home >> Associative Property >> Associative Property (Multipication of Whole Numbers) >>

## Associative Property (Multipication of Whole Numbers)

 Associative Property (Addition of Whole Numbers) 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.

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