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NAME ______________________________________________ DATE ______________ PERIOD _____
9-2
Practice
The Real Number System
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.
1. 15
N, W, Z, Q
1
3
2. –41
1
4
3. Q
Z, Q
4. Q
5. 0.212121. . . Q
7. 45
I
8. 10. 2.31
36
9
Q
11. 45.6
N, W, Z, Q
Q
6. 8
I
28
7
9. – Z, Q
12. 0.090090009. . . I
Determine whether each statement is sometimes, always, or never true.
13. A decimal number is an irrational number. sometimes
14. An integer is a whole number. sometimes
15. A natural number is an integer. always
16. A negative integer is a natural number. never
Replace each with , , or to make a true statement.
17. 3.2 9.5
19. 17
4.1
3
4
21. 1 3.062
5
1
2
18. 1 3
20. 7.84
2.8
22. 3.67 12
Order each set of numbers from least to greatest.
1 15
8 2
1 15
8 2
6.9
1
, 49
, 7 , 24. 4 , 43
, , 4.13
12
1
, 4.13, 4 , 43
3
3
23. 49
, 6.9
1
, 7 , 1
3
12
3
8
10
8
10
25. 2, 1.5, 1 , 6
6
, 2, 1 , 1.5
ALGEBRA Solve each equation. Round to the nearest tenth, if necessary.
26. h 2 361
19
29. 330 t 2 18.2
27. k 2 10.24 3.2
28. c 2 111
10.5
30. 0.089 u 2 0.3
31. w 2 0.0144 0.12
32. GARDENING Ray planted a square garden that covers an area of 200 ft2.
How many feet of fencing does he need to surround the garden? 56.6 ft
©
Glencoe/McGraw-Hill
496
Glencoe Pre-Algebra
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Place an X in each category that applIes.
r
Natural
Whole
Integer
Rational
3
-3
1,000,000
1.983764...
9B27
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7
34
Answer True or False.
~~---
All whole numbers are also Rational Numbers.
- - - - - If a
number is an integer then it cannot be a natural number.
- - - - - -J-121 is a real number.
____ If a number is an integer it cannot be irrational.
- - - - - All
Whole numbers are Natural numbers.
All Rational Numbers are also integers.
Irrational
Real