10:16 PM Wed Sep 11
\( 30 \% \)
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CHAPTER 1 Variables, Real Numbers, and Mathematical Models
In Exercises 9-20, start by drawing a number line that shows integers from -5 to 5. Then graph each real number on your number line.
9. 2
10. 5
11. -5
12. -2
15. \( \frac{11}{3} \)
16. \( \frac{7}{3} \)
17. -1.8
18. -3.4
13. \( 3 \frac{1}{2} \)
19. \( -\frac{16}{5} \)
14. \( 2 \frac{1}{4} \)
In Exercises 21-32, express each rational number as a decimal.
21. \( \frac{3}{4} \)
22. \( \frac{3}{5} \)
23. \( \frac{7}{20} \)
24. \( \frac{3}{20} \)
25. \( \frac{7}{8} \)
26. \( \frac{5}{16} \)
27. \( \frac{9}{11} \)
28. \( \frac{3}{11} \)
29. \( -\frac{1}{2} \)
30. \( -\frac{1}{4} \)
31. \( -\frac{5}{6} \)
32. \( -\frac{7}{6} \)
In Exercises 33-36, list all numbers from the given set that are: a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers.
33. \( \left\{-9,-\frac{4}{5}, 0,0.25, \sqrt{3}, 9.2, \sqrt{100}\right\} \)
34. \( \{-7,-0 . \overline{6}, 0, \sqrt{49}, \sqrt{50}\} \)
35. \( \left\{-11,-\frac{5}{6}, 0,0.75, \sqrt{5}, \pi, \sqrt{64}\right\} \)
36. \( \{-5,-0 . \overline{3}, 0, \sqrt{2}, \sqrt{4}\} \)
49. \( -4-6 \)
51. \( -2.5 \quad 1.5 \)
20. \( -\frac{11}{5} \)
53. \( -\frac{3}{4} \quad-\frac{5}{4} \)
55. \( -4.5 \quad 3 \)
57. \( \sqrt{2} 1.5 \)
59. \( 0 . \overline{3} \quad 0.3 \)
61. \( -\pi \quad-3.5 \)
In Exercises 63-70, determine whether each inequality is true or false.
63. \( -5 \geq-13 \)
64. \( -5 \leq-8 \)
65. \( -9 \geq-9 \)
66. \( -14 \leq-14 \)
67. \( 0 \geq-6 \)
68. \( 0 \geq-13 \)
69. \( -17 \geq 6 \)
70. \( -14 \geq 8 \)
In Exercises 71-78, find each absolute value.
71. \( |6| \)
72. \( |3| \)
73. \( |-7| \)
74. \( |-9| \)
75. \( \left|\frac{5}{6}\right| \)
76. \( \left|\frac{4}{5}\right| \)
77. \( |-\sqrt{11}| \)
78. \( |-\sqrt{29}| \)
Practice PLUS
In Exercises 79-86, insert either \( <,> \), or \( = \) in the shaded area to make a true statement.
