- The Associative Property of Multiplication states that the way factors are grouped does not change the product. For any numbers a, b, and c, (a × b) × c = a × (b × c).
- To solve problems using this property, you can regroup the factors in any order and still get the same result.
- For example, to solve 5 × (6 × 1), you can first calculate 6 × 1 = 6, then 5 × 6 = 30. Alternatively, you can regroup as (5 × 6) × 1 = 30 × 1 = 30.
- Similarly, for (4 × 3) × 2, calculate 4 × 3 = 12, then 12 × 2 = 24. Regrouping as 4 × (3 × 2) gives 4 × 6 = 24.
- For (3 × 6) × 2, first calculate 3 × 6 = 18, then 18 × 2 = 36. Regrouping as 3 × (6 × 2) gives 3 × 12 = 36.
- The property allows flexibility in computation, making it easier to multiply numbers by choosing the most convenient grouping.
Parent Tip: Review the logic above to help your child master the concept of associative property of multiplication worksheets.