50 Chapter 1 The Set of Real Numbers Rational numbers Integers . . . 3, 2, 1 Whole numbers 0 Natural numbers 1, 2, 3, . . . Real Numbers 0.25 Irrational numbers √2 √17 0.121122111222 . . . 0.3 2 7 Figure 1-2 Classifying Numbers by Set Example 5 Check the set(s) to which each number belongs. The numbers may belong to more than one set. Natural Whole Rational Irrational Real Numbers Numbers Integers Numbers Numbers Numbers 5 47 3 1.48 17 0 Solution: Natural Whole Rational Irrational Real Numbers Numbers Integers Numbers Numbers Numbers 5 ✔ ✔ ✔ ✔ (ratio of 5 ✔ and 1) ✔ (ratio of ✔ and 3) 1.48 ✔ (ratio of ✔ 148 and 100) ✔ ✔ 0 ✔ ✔ ✔ (ratio of 0 ✔ and 1) 17 47 47 3 Skill Practice Identify the sets to which each number belongs. Choose from: natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers. 9. 4 10. 0.7 11. 113 12. 12 13. 0 Classroom Examples: p. 57, Exercises 42 and 44 Answers 9. Integers, rational numbers, real numbers 10. Rational numbers, real numbers 11. Irrational numbers, real numbers 12. Natural numbers, whole numbers, integers, rational numbers, real numbers 13. Whole numbers, integers, rational numbers, real numbers
miller_introductory_algebra_3e_ch1_3
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