Definition/Procedure Example 10.3 Subtracting Signed Numbers Additive Inverse The opposite of a number is its additive inverse. The sum of a number and its additive inverse is 0. (p. 733) Find the additive inverse of each number. a) 6 b) 2 3 Solution a) The additive inverse of 6 is 6. And, 6 (6) 0. b) The additive inverse of 2 3 is 2 3 . And, 2 3 2 3 0. 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. (p. 734) Subtract. a) 4 10 b) 9.8 1.3 c) 1 6 a 2 3 b Solution a) 4 10 4 (10) 6 Change subtraction to addition of the additive inverse of 10. b) 9.8 1.3 9.8 (1.3) 11.1 Change subtraction to addition of the additive inverse of 1.3. c) 1 6 a 2 3 b 1 6 a 2 3 b 1 6 4 6 5 6 Change subtraction to Get a common denominator. addition of the additive inverse of 2 3 . 10.4 Multiplying and Dividing Signed Numbers Multiplying Two Numbers with Different Signs The product of a positive number and a negative number is a negative number. (p. 741) Multiply. a) 6 3 b) 0.8(1.2) Solution a) 6 3 18 b) 0.8(1.2) 0.96 The product of two numbers with different signs is negative. Multiplying Two Numbers with the Same Sign The product of two numbers with the same sign is positive. (p. 742) Multiply. a) 5 9 b) 11 (7) Solution a) 5 9 45 b) 11 (7) 77 The product of two numbers with the same sign is positive. Dividing Signed Numbers 1) The quotient of two numbers with different signs is negative. 2) The quotient of two numbers with the same sign is positive. (p. 743) Divide. a) 42 6 b) 12 3 c) 40 8 Solution a) 42 6 7 The quotient of two numbers with different signs is negative. b) 12 3 4 The quotient of two numbers with the same sign is positive. c) 40 5 8 The quotient of two numbers with different signs is negative. www.mhhe.com/messersmith CHAPTER 10 Summary 759
messersmith_power_basic_college_1e_ch4_7_10
To see the actual publication please follow the link above