Section 1.2 Introduction to Algebra and the Set of Real Numbers 29 3 units 3 units Finding the Absolute Value of a Real Number Example 9 Evaluate the absolute value expressions. a. b. c. d. Solution: a. is 4 units from 0 on the number line. 04 0 4 4 4 units 4 3 2 1 0 1 12 b. 0 0 12 1 2 is unit from 0 on the number line. 12 00 0 06.2 0 012 04 0 0 Answers 22. 99 23. 24. 1.4 25. 1 7 8 5. Absolute Value of a Real Number The concept of absolute value will be used to define the addition of real numbers in Section 1.4. Informal Definition of the Absolute Value of a Real Number The absolute value of a real number a, denoted 0a 0 , is the distance between a and 0 on the number line. Note: The absolute value of any real number is positive or zero. For example, 03 0 3 and 03 0 3. 6 5 4 3 2 1 0 1 2 3 4 5 6 unit 12 3 2 1 0 1 2 c. 06.2 0 6.2 6.2 is 6.2 units from 0 on the number line. 7 6 5 4 3 2 1 0 1 d. 00 0 0 0 is 0 units from 0 on the number line. 0 units Skill Practice Evaluate. 22. 23. ` 24. 01.4 0 25. 0 1 0 7 8 099 0 ` 6.2 units 3 2 1 0 1 2
miller_beginning_intermediate_algebra_4e_ch1_3
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