Pre-Algebra Chapter 9

Practice and Apply
Homework Help
For
Exercises
See
Examples
13–28 1
33–42 2
45–61 3
Extra Practice
See page 745.
Name all of the sets of numbers to which each real number belongs. Let
N natural numbers, W whole numbers, Z integers, Q rational
numbers, and I irrational numbers.
13. 8 14. 4 15. 2 5 16. 1 2
17. 0.2 18. 0.131313… 19. 10 20. 32
21. 1.247896… 22. 6.182576… 23. 2 4
24. 5 6
8
8
25. 2.8 26. 7.6 27. 64 28. 100
Determine whether each statement is sometimes, always, or never true.
29. A whole number is an integer.
30. An irrational number is a negative integer.
31. A repeating decimal is a real number.
32. An integer is a whole number.
Replace each with , , or to make a true statement.
33. 5 1 4 26 34. 80 9.2 35. 3.3 10
36. 18 4 3 8 37. 11 2 2.25
38. 6.25 5 2
Order each set of numbers from least to greatest.
39. 5 1 4 , 2.1, 4, 6 5 40. 4.23, 42 , 18, 16
3
41. 10, 1.05, 105 , 10 1 2 42. 14, 4 1
, 3.8, 1 7
10
4
Give a counterexample for each statement.
43. All square roots are irrational numbers.
44. All rational numbers are integers.
ALGEBRA Solve each equation. Round to the nearest tenth, if necessary.
45. a 2 49 46. d 2 81 47. y 2 22 48. p 2 63
49. 144 w 2 50. 289 m 2 51. 127 b 2 52. 300 h 2
53. x 2 1.69 54. 0.0016 q 2 55. n 2 3.56 56. 0.0058 k 2
57. If (a) 2 144, what is the value of a?
58. What is the value of x to the nearest tenth if x 2 4 2 15 2 ?
Weather
To find the time t in hours
that a thunderstorm will
last, meteorologists can
use the formula t 2 d
3
2 16
where d is the distance
across the storm in miles.
59. Find the value of m if 256 m 2 .
60. WEATHER Use the information at the left. Suppose a thunderstorm is
7 miles wide. How long will the storm last?
61. FLOORING A square room has an area of 324 square feet. The
homeowners plan to cover the floor with 6-inch square tiles. How
many tiles will be in each row on the floor?
444 Chapter 9 Real Numbers and Right Triangles