40 Chapter 1 Whole Numbers Commutative Property of Multiplication Changing the order of two factors does not affect the product. Example: 2 5 is equivalent to 5 2 Rectangular arrays help us visualize the commutative property of multiplication. 2 rows of 5 5 rows of 2 2 5 10 5 2 10 Multiplication is also an associative operation. Associative Property of Multiplication The manner in which factors are grouped under multiplication does not affect the product. Example: 13 52 2 is equivalent to 3 15 22 Consider these products. 13 52 2 3 15 22 15 2 3 10 30 30 Applying Properties of Multiplication Example 2 a. Rewrite the expression 3 9, using the commutative property of multiplication.Then find the product. 14 22 3, b. Rewrite the expression using the associative property of multiplication.Then find the product. Solution: a. 3 9 9 3. The product is 27. b. To find the product, we have The product is 24. 4 12 32 4 162 24 14 22 3 4 12 32. Skill Practice 4. Rewrite the expression 6 5 3 11 72, Answers 4. 5 6; product is 30 5. 13 12 7; product is 21 , using the commutative property of multiplication. Then find the product. 5. Rewrite the expression using the associative property of multiplication. Then find the product.
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