Using Technology We can use a calculator to help us fi nd the difference of large signed numbers. To fi nd the value of 26 58 (173), we enter 2 6 5 8 1 7 3 or () 2 6 5 8 () 1 7 3 ENTER into the calculator. The display screen will show 89 as the result. 3 Combine Adding and Subtracting of Signed Numbers Remember that the order of operations tells us that if a problem contains addition and subtraction, we perform the operations from left to right. Perform the operations. a) 12 (8) (15) 3 b) 7.3 (9.4) 10.2 (3.8) c) 1 5 3 4 a 7 10 b Solution a) According to the order of operations, we perform the operations from left to right. 12 (8) (15) 3 4 (15) 3 4 (15) 3 Change subtraction to addition of the additive inverse of 15. 19 3 22 b) 7.3 (9.4) 10.2 (3.8) 7.3 (9.4) 10.2 (3.8) Change subtraction to addition of the additive inverse of 9.4. 16.7 10.2 (3.8) 6.5 (3.8) 2.7 c) 1 5 3 4 a 7 10 b 1 5 a 3 4 b a 7 10 b Change subtraction to addition of the additive inverse of 3 4 . 4 20 a 15 20 b a 7 10 b Rewrite the fractions with a common denominator. 19 20 a 7 10 b Add. 19 20 a 14 20 b Rewrite 7 10 with a denominator of 20. 33 20 or 1 13 20 Add. Write the answer as an improper fraction or mixed number. EXAMPLE 4 Add or subtract two numbers at a time, moving from left to right until only one remains. www.mhhe.com/messersmith SECTION 10.3 Subtracting Signed Numbers 737
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