## Associative Property for Multiplication: a(bc) = (ab)cExplanation :- 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. ## Read More: |