Step 3: The sign of the sum will be the same as the sign of the number with the greater absolute value. Positive 9 has a greater absolute value than negative 6, so the sum will be positive. 6 9 3 T The sum is positive. We can see why the answer makes sense on a number line. 26 1 9 5 3 9 26 27262524 232221 0 1 2 3 4 5 6 7 b) Step 1: Find the absolute value of each number: 04 0 4, 010 0 10 Step 2: Subtract the smaller absolute value from the larger absolute value. 10 4 6 b Larger absolute value R Smaller absolute value Step 3: The sign of the sum will be the same as the sign of the number with the greater absolute value. Negative 10 has a greater absolute value than positive 4, so the sum will be negative. 4 (10) 6 Let’s look at this on a number line. T The sum is negative. 4 1 (210) 5 26 210 4 27262524 232221 0 1 2 3 4 5 6 7 YOU TRY 3 Find each sum; then verify each answer using a number line. a) 5 1 b) 7 (3) Add. a) 38 (21) b) 562 301 c) 0.47 0.9 d) 4 9 7 9 e) 3 8 a 5 12 b Solution a) Step 1: Find the absolute value of each number: 038 0 38, 021 0 21 Step 2: Subtract the smaller absolute value from the larger absolute value. 38 21 17 b Larger absolute value R Smaller absolute value EXAMPLE 4 728 CHAPTER 10 Signed Numbers www.mhhe.com/messersmith
messersmith_power_basic_college_1e_ch4_7_10
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