52 Chapter 1 The Set of Real Numbers Solution: Prince George Juneau Parkersburg New Bedford Durham San Jose Corpus Christi 15 10 5 0 5 10 15 a. Temperature of San Jose temperature of Corpus Christi b. Temperature of Juneau temperature of Prince George c. Temperature of Parkersburg temperature of New Bedford d. Temperature of Parkersburg temperature of Prince George 4. Opposite of a Real Number To gain mastery of any algebraic skill, it is necessary to know the meaning of key definitions and key symbols. Two important definitions are the opposite of a real number and the absolute value of a real number. The Opposite of a Real Number Two numbers that are the same distance from 0 but on opposite sides of 0 on the number line are called opposites of each other. Symbolically, we denote the opposite of a real number a as a. Finding the Opposite of a Real Number a. Find the opposite of 5. b. Find the opposite of . Solution: a. The opposite of 5 is . b. The opposite of is 4 7 4 7 . 5 4 7 Example 7 opposites 47 47 6 5 4 3 2 1 0 1 2 3 4 5 6 opposites 6 or 7 Skill Practice 21. Find the opposite of 224. 22. Find the opposite of 3.4. Skill Practice Evaluate. 23. 12.82 24. a 1 5b Answers 18. 21. 22. 23. 24. 6 19. 7 20. 7 224 3.4 2.8 1 5 Finding the Opposite of a Real Number Evaluate each expression. 11 a. 10.462 b. b 3 Solution: a. The expression represents the opposite of 0.46. 10.462 0.46 10.462 11 3 a b b. The expression represents the opposite of 11 3 a . 11 3 b 11 3 a Example 8 Concept Connections Based on the location of the numbers on the number line, fill in the blanks with the appropriate inequality sign: . 18.k x 19.x b 20.b k k b x Classroom Examples: p. 57, Exercises 50 and 52 Classroom Example: p. 58, Exercise 60
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