Definition/Procedure Example 10.2 Adding Signed Numbers Adding Two Negative Numbers Step 1: Find the absolute value of each number. Step 2: Add the absolute values. Step 3: Put a negative sign in front of the sum. The sum of two negative numbers is always negative. (p. 726) Add 16 (12). Solution Step 1: Find the absolute value of each number. 016 0 16 012 0 12 Step 2: Add the absolute values: 16 12 28 Step 3: Put a negative sign in front of the sum. 16 (12) 28 Adding Two Numbers with Different Signs Step 1: Find the absolute value of each number. Step 2: Subtract the smaller absolute value from the larger absolute value. Step 3: The sign of the sum will be the same as the sign of the number with the greater absolute value. Write the sum with this sign. (p. 727) Add. a) 37 15 b) 295 (141) Solution a) Step 1: Find the absolute value of each number: 037 0 37, 015 0 15 Step 2: Subtract the smaller absolute value from the larger absolute value. 37 15 22 Q a Larger absolute value 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 37 has a greater absolute value than positive 15, so the sum will be negative. 37 15 22 c The sum is negative. b) Step 1: Find the absolute value of each number: 0295 0 295, 0141 0 141 Step 2: Subtract the smaller absolute value from the larger absolute value. 295 141 154 Q a Larger absolute value 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. Positive 295 has a greater absolute value than negative 141, so the sum will be positive. 295 (141) 154 c The sum is positive. 758 CHAPTER 10 Signed Numbers www.mhhe.com/messersmith
messersmith_power_basic_college_1e_ch4_7_10
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