58 Chapter 1 The Set of Real Numbers Applying the Order of Operations Simplify the expressions. a 6 07 110 13 722 a. b. Solution: a. Simplify inside the parentheses first. Add fractions in each parentheses. Get a common denominator. Add. Simplify to lowest terms. 6 07 11 0 13 722 b. Simplify within absolute value bars and parentheses first. Rewrite subtraction in terms of addition. Simplify absolute value and exponent. Rewrite subtraction in terms of addition. Add from left to right. 6 07 1112 0 13 722 6 04 0 1422 6 142 16 6 142 16 10 16 Skill Practice Simplify the expressions. 1 3 1 15. a1 b a b 4 4 2 16. 4 2 06 182 0 1422 6 41 12 82 24 31 24 a 51 24 b a 31 24 b a 17 8 b a 31 24 b a 17 8 b c 15 24 a 16 24 b d a 1 8 16 8 b c 5 8 a 2 3 b d a 1 8 2b a 5 8 2 3 b a 1 8 2b 5 8 2 3 b a 1 8 2b Example 7 Rewrite subtraction in terms of addition. Get a common denominator in each parentheses. Rewrite subtraction in terms of addition. Answers 15. 1 16. 16
miller_beginning_intermediate_algebra_4e_ch1_3
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