Download 4-7 The Real Number System

integer, rational
22. 6.01
ANSWER: rational
4-7 The Real Number System
Name all of the sets of numbers to which the
real number belongs. Write natural, whole,
integer, rational, or irrational.
14. 4
ANSWER: natural, whole, integer, rational
23. ANSWER: natural, whole, integer, rational
24. ANSWER: natural, whole, integer, rational
15. ANSWER: rational
25. ANSWER: rational
16. ANSWER: rational
Replace Ο with <, >, or = to make a true
statement.
27. Ο ANSWER: > 17. ANSWER: irrational
29. 18. Ο ANSWER: =
ANSWER: integer, rational
31. −7 Ο 19. 8.2
ANSWER: < ANSWER: rational
Order each set of numbers from least to
greatest.
20. 0.55555…
ANSWER: rational
33. 21. ANSWER: ANSWER: integer, rational
,
,
,8
22. 6.01
ANSWER: rational
Solve each equation. Round to the nearest
tenth, if necessary.
37. 130 = n
2
ANSWER: 11.4, −11.4
23. eSolutions
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ANSWER: natural, whole, integer, rational
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3
38. p = 1331
J 200 seconds
ANSWER: ,
,
,8
ANSWER: F
4-7 The Real Number System
Solve each equation. Round to the nearest
tenth, if necessary.
37. 130 = n
2
61. Which of the following is an example of an irrational
number?
A −8
ANSWER: 11.4, −11.4
B C 3
38. p = 1331
D ANSWER: 11
ANSWER: C
2
39. 2d = 162
ANSWER: 9, −9
Find each product or quotient. Express using
exponents.
Use a Counterexample Tell whether the
expression is true or false . If false, give a
counterexample.
54. All whole numbers are integers.
78. ANSWER: 2
4
ANSWER: true
2
2
79. (x)(x)(x )(x )
55. All square roots are irrational numbers.
ANSWER: ANSWER: x
6
is rational.
False;
6
2
80. (–4) (–4)
56. All rational numbers are integers.
ANSWER: False; 4.5 is rational.
ANSWER: 8
(–4)
2
60. The formula h = 16t describes the time t in seconds
that it takes for an object to fall from a height of h
feet. How long would it take a basketball to hit the
ground from a height of 50 feet?
F
G
H
J
1.77 seconds
10.36 seconds
28.28 seconds
200 seconds
ANSWER: F
61. Which of the following is an example of an irrational
number?
A −8
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