Step 3: The sign of the sum will be positive because 38 has a greater absolute value than 21. 38 (21) 17 The sum is positive. b) Step 1: Find the absolute value of each number: 0562 0 562, 0301 0 301 Step 2: Subtract the smaller absolute value from the larger absolute value. 562 301 261 b Larger absolute value Smaller absolute value R Step 3: Will the answer be positive or negative? It will be negative because 562 has a larger absolute value than 301. 562 301 261 The sum is negative. c) Step 1: Find the absolute value of each number: 00.47 0 0.47, 00.9 0 0.9 Step 2: Subtract the smaller absolute value from the larger absolute value. 0.9 0.47 0.43 b Larger absolute value R Smaller absolute value Step 3: The sum will be positive because 0.9 has a larger absolute value than 0.47. 0.47 (0.9) 0.43 The sum is positive. d) Step 1: Find the absolute value of each number: ` 4 9 ` 4 9 , ` 7 9 ` 7 9 Step 2: Subtract the smaller absolute value from the larger absolute value. 7 9 4 9 3 9 1 3 Write in lowest terms. b Larger absolute value R Smaller absolute value Step 3: Will the answer be positive or negative? It will be positive because 7 9 has a larger absolute value than 4 9 . 4 9 7 9 1 3 The sum is positive. e) Step 1: Find the absolute value of each number: ` 3 8 ` 3 8 , ` 5 12 ` 5 12 Which of these absolute values is larger? We need to know which is larger in order to subtract. Therefore, write each absolute value as a fraction with their least common denominator, 24. 3 8 3 8 3 3 9 24 5 12 2 2 10 24 5 12 10 24 and 3 8 9 24 . Therefore, 5 12 is larger than 3 8 . www.mhhe.com/messersmith SECTION 10.2 Adding Signed Numbers 729
messersmith_power_basic_college_1e_ch4_7_10
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