10-2 Practice The Real Number System
Name all of the sets of numbers to which each real number belongs. Let
W = whole numbers, Z = integers, Q = rational numbers, and I = irrational
numbers.
1. 15 2. – 41 3. 1
−
4

4.
1
−
3
5. 0.212121. . . 6. √8
7. √45 8. −
36
9 9. – −
28
7
10. 2.31 11. 45.6 12. 0.090090009. . .
Determine whether each statement is sometimes, always, or never true.
13. A decimal number is an irrational number.
14. An integer is a whole number.
15. A whole number is an integer.
16. A negative integer is a whole number.
Replace each ● with < , >, or = to make a true statement.
17. 3.2 ● √9.5 18. 1 1
−
2
● √3
19. √17 ● 4.1 20. √7.84 ● 2.8
21. 1 3
−
4 ● √ 3.0625 22. 3.67 ● √12
Order each set of numbers from least to greatest.
23. √49 , 6. −−91, 7 1
−
8
, −
15
2
24. 4 1
−
3
, √43 , −
12
3 , 4.13
25. -2, -1.5, -1 −
8
10, -√6
ALGEBRA Solve each equation. Round to the nearest tenth, if necessary.
26. h2 = 361 27. k2 = 10.24 28. c 2 = 111
29. 330 = t 2
30. 0.089 = u2
31. w2 = 0.0144
32. GARDENING Ray planted a square garden that covers an area of 200 ft 2
.
How many feet of fencing does he need to surround the garden?