Find the additive inverse of each number, then add the numbers. a) 4 b) 7 c) 3 4 d) 1.2 e) 0 Solution a) The additive inverse of 4 is 4. 4 (4) 0 Write a negative sign in front of the number to fi nd its additive inverse. b) To fi nd the additive inverse of 7, put a negative sign in front of the number and simplify: (7) 7 The additive inverse of 7 is 7. 7 7 0 c) a 3 4 b 3 4 The additive inverse of 3 4 is 3 4 , and 3 4 3 4 0. d) The additive inverse of 1.2 is 1.2. 1.2 (1.2) 0 e) The additive inverse of 0 is 0. 0 0 0 EXAMPLE 1 YOU TRY 1 Find the additive inverse of each number, then add the numbers. a) 16 b) 1 c) 3 10 d) 7.4 We can subtract signed numbers using an additive inverse. 2 Subtract Signed Numbers If we are working with positive numbers and the second number in a subtraction problem is smaller than the fi rst number, we can subtract as we always have. Or, we can change the subtraction problem to an addition problem. Instead of subtracting the second number from the fi rst, we add the opposite, or add the additive inverse, of the second number to the fi rst number. We get the same answer. 8 2 6 27 7 20 8 (2) 6 27 (7) 20 Procedure Subtracting Signed Numbers To subtract two numbers, a b, 1) Change subtraction to addition. 2) Find the additive inverse of b. 3) Add a and the additive inverse of b. Notice that we keep the fi rst number, a, the same. Example: 9 4 5 can be written as 9 (4) 5 Change subtraction to addition of the additive inverse. 734 CHAPTER 10 Signed Numbers www.mhhe.com/messersmith
messersmith_power_basic_college_1e_ch4_7_10
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