76 Chapter 1 The Set of Real Numbers Answers 3. 8m 12n2; 2n 8m 1 3 x a 3 4 b; 3 4 4. 5. 5122 6. 6y 1 3 x Applying the Commutative Property of Addition Example 2 Rewrite the expression in terms of addition.Then apply the commutative property of addition. a. b. Solution: a. 5a 3b 5a 13b2 3b. Rewrite subtraction as addition of Apply the commutative property of addition. b. Rewrite subtraction as addition of Apply the commutative property of addition. 3b 5a 1 4 1 4 z2 Skill Practice Rewrite each expression in terms of addition.Then apply the commutative property of addition. 3. 4. Applying the Commutative Property of Multiplication Example 3 Use the commutative property of multiplication to rewrite each expression. a. 12162 b. x 4 Solution: a. 12162 61122 b. (or simply 4x) Skill Practice Use the commutative property of multiplication to rewrite each expression. 5. 6. 2152 y 6 2. Associative Properties of Real Numbers The associative property of real numbers states that the manner in which three or more real numbers are grouped under addition or multiplication will not affect the outcome. For example: 15 102 2 5 110 22 and 15 1022 5110 22 15 2 5 12 15022 51202 17 17 100 100 x 4 4 x 1 3 x 3 4 8m 2n 14 z2 a b . z2 1 4 z2 1 4 5a 3b
miller_beginning_intermediate_algebra_4e_ch1_3
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