b) Step 1: Find the absolute value of each number: 047 0 47, 029 0 29 Step 2: Add the absolute values: 47 29 76 Step 3: Put a negative sign in front of the sum: 47 (29) 76 c) Step 1: Find the absolute value of each number: 0351.6 0 351.6, 0607.9 0 607.9 Step 2: Add the absolute values: 351.6 607.9 959.5 Step 3: Put a negative sign in front of the sum: 351.6 (607.9) 959.5 d) Step 1: Find the absolute value of each number: ` 5 8 ` 5 8 , ` 1 2 ` 1 2 Step 2: Add the absolute values: 5 8 1 2 5 8 4 8 9 8 or 1 1 8 Step 3: Put a negative sign in front of the sum: 5 8 a 1 2 b 9 8 or 1 1 8 YOU TRY 2 Add. a) 18 (9) b) 52 (93) c) 7123.2 (2519.4) d) 1 6 a 3 4 b 3 Add Numbers with Different Signs When we add a positive number and a negative number, sometimes the sum is positive (as in Example 1a) and sometimes the sum is negative (as in Example 1b). Procedure 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. Find each sum; then verify the answer using a number line. a) 6 9 b) 4 (10) Solution a) Step 1: Find the absolute value of each number: 06 0 6, 09 0 9 Step 2: Subtract the smaller absolute value from the larger absolute value. 9 6 3 b Larger absolute value Smaller absolute value R EXAMPLE 3 www.mhhe.com/messersmith SECTION 10.2 Adding Signed Numbers 727
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