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miller_introductory_algebra_3e_ch1_3

Section 1.5 Multiplication and Division of Real Numbers 85 For Exercises 97–104, evaluate the expressions for a 2, b 6, and c 1. 97. (a b) c 7 98. (a b) c 99. a (b c) 100. a (b c) 7 101. (a b) c 102. (a b) c 5 9 103. a (b c) 3 104. a (b c) 9 Problem Recognition Exercises Addition and Subtraction of Real Numbers 1. State the rule for adding two negative numbers. Add their absolute values and apply a negative sign. Subtract the smaller absolute value from the larger absolute value. Apply the sign of the number with the larger absolute value. 14 182 6 14 8 6 14 182 22 14 182 14 8 22 5 132 2 5 132 8 5 3 8 5 3 2 5 132 8 25 25 0 25 25 0 25 1252 25 1252 0 1252 1252 2 3 b 2 3b 1 2 3 3.5 7.1 3.6 3.5 17.12 3.5 7.1 3.5 17.12 3.5 17.12 6 1 4 5 6 11 42 5 4 6 11 4 52 16 12 14 52 100 90 80 100 190 802 100 190 802 100 190 802 270 110 90 270 50 402 108 484 24 Multiplication and Division of Real Numbers Section 1.5 1. Multiplication of Real Numbers Multiplication of real numbers can be interpreted as repeated addition. For example: Add 3 groups of 4. Add 3 groups of 4. 3142 4 4 4 12 3142 4 142 142 12 These results suggest that the product of a positive number and a negative number is negative. Consider the following pattern of products. 4 3 12 4 2 8 4 1 4 4 0 0 4 112 4 4 122 8 4 132 12 The pattern decreases by 4 with each row. Thus, the product of a positive number and a negative number must be negative for the pattern to continue. Concepts 1. Multiplication of Real Numbers 2. Exponential Expressions 3. Division of Real Numbers 4. Applying the Order of Operations 3 5 For Exercises 3–10, perform the indicated operations. 3. a. b. c. d. 22 e. 4. a. b. c. d. e. 5. a. b. c. 50 d. e. 6. a. b. c. d. e. 7. a. b. 10.6 c. 3.6 d. 3.6 e. 8. a. 4 b. c. 6 d. 6 9. a. b. c. d. 10. a. 8 1102 202 b. 8 110 2022 c. 38 1102 2042 d. 38 110242 20 7 6 1 2 2 3 7 6 1 2 a 7 6 1 2 a 6 1 2 1 6 1 2 a 2 3b 2. State the rule for adding a negative number to a positive number. 10.6 Writing Translating Expression Geometry Scientific Calculator Video


miller_introductory_algebra_3e_ch1_3
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