98 Chapter 1 The Set of Real Numbers Skill Practice Rewrite each expression in terms of addition. Then apply the commutative property of addition. 3. 8m 2n 4. 1 3 x Skill Practice Use the commutative property of multiplication to rewrite each expression. 5. 2152 6. y 6 Answers 3. 3 4 8m 12n2; 2n 8m 1 3 x a 3 4b; 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. 3b 5a z2 a Rewrite subtraction as addition of . Apply the commutative property of addition. Applying the Commutative Property of Multiplication 1 4 z2 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) 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 14 1 4b z2 1 4 z2 1 4 5a 3b Classroom Example: p. 107, Exercise 24 Classroom Example: p. 107, Exercise 22 Associative Properties of Real Numbers If a, b, and c represent real numbers, then 1. 1a b2 c a 1b c2 associative property of addition 2. 1ab2c a1bc2 associative property of multiplication
miller_introductory_algebra_3e_ch1_3
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