72 Chapter 1 The Set of Real Numbers 4 5 10.6 20.4 b 120.4 10.62 a12 15 10 15 2 3 2 15b 3. Translations and ` 2 15 12 15 ` 12 15 ` 2 15 ` 2 15 Translating Expressions Involving the Addition of Real Numbers 78 Translate each English phrase into an algebraic expression.Then simplify the result. a. The sum of 12, 8, 9, and 1 b. Negative three-tenths added to c. The sum of 12 and its opposite Example 5 Skill Practice Add. 9. 10. 27.3 118.12 Classroom Examples: p. 75, Exercises 46 and 54 Adding Real Numbers with Different Signs Add. a. b. 2 15 a Example 4 Answers 9. 9.2 10. 1 2 9 10 2 5 Solution: a. First find the absolute value of the addends. The absolute value of 20.4 is greater than the absolute value of 10.6. Therefore, the sum is positive. Next, subtract the smaller absolute value from the larger absolute value. Apply the sign of the number with the larger absolute value. b. The least common denominator is 15. Write each fraction with the LCD. Find the absolute value of the addends. The absolute value of is greater than the absolute value of . Therefore, the sum is negative. Next, subtract the smaller absolute value from the larger absolute value. Subtract. Simplify to lowest terms. 12 15 . 2 15 a 12 15b 2 15 a 4 3 5 3b 2 15 a 4 5b 9.8 010.6 0 10.6 and 020.4 0 20.4. 10.6 20.4 Apply the sign of the number with the larger absolute value.
miller_introductory_algebra_3e_ch1_3
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