Subtract. a) 3 10 1 2 b) 1 3 a 3 4 b c) 9.2 3.5 d) 18.4 (7.1) Solution 3 10 a) 1 2 3 10 a 1 2 b Change subtraction to addition of the additive inverse of 1 2 . 3 10 a 5 10 b Rewrite 1 2 with a denominator of 10. Step 1: Find the absolute values of 3 10 and 5 10 : ` 3 10 ` 3 10 , ` 5 10 ` 5 10 Step 2: Subtract the absolute values: 5 10 3 10 2 10 1 5 Write in lowest terms. Q a Larger absolute Smaller absolute value value Step 3: Will the fi nal answer be positive 1 5 or negative 1 5 ? It will be negative because 5 10 has a larger absolute value than 3 10 . The answer is 3 10 1 2 1 5 . b) 1 3 a 3 4 b 1 3 a 3 4 b Change subtraction to addition of the additive inverse of 3 4 . 4 12 9 12 Rewrite each fraction with a denominator of 12. 9 12 4 12 Subtract the smaller absolute value from the larger absolute value. 5 12 The fi nal answer is positive because 9 12 has a larger absolute value than 4 12 . c) 9.2 3.5 9.2 (3.5) Change subtraction to addition of the additive inverse of 3.5. 12.7 Add. d) 18.4 (7.1) 18.4 (7.1) Change subtraction to addition of the additive inverse of 7.1. 25.5 Add. EXAMPLE 3 YOU TRY 3 Subtract. a) 2 15 4 5 b) 3 4 a 2 9 b c) 1.6 15.7 d) 8.3 (11.2) 736 CHAPTER 10 Signed Numbers www.mhhe.com/messersmith
messersmith_power_basic_college_1e_ch4_7_10
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