35.Concept Check Match each expression in Column I with its value in Column II.
Choices in Column II may be used once, more than once, or not at all.
III
(a) A. 9
(b) B.
(c) C. Neither A nor B
(d) D. Both A and B
36.Concept Check Fill in the blanks with the correct values: The opposite of is ,
while the absolute value of is . The additive inverse of is , while the
additive inverse of the absolute value of - 5 is .
- 5 - 5
- 5
- |- 1 - 92 |
- |- 9 |
- 1 - 92 - 9
|- 9 |
SECTION 1.4 Real Numbers and the Number Line 35
For Exercises 27 and 28, see Example 2.List all numbers from each set that are
(a)natural numbers (b)whole numbers (c)integers
(d)rational numbers (e)irrational numbers (f)real numbers.
28.e-5.3, -5, - 3 , -1, -
1
9
, 0, 0.27, 1.2, 1.8, 3, 11 fe-9, - 7 , - 11
4
, -
3
5
, 0, 0.1, 5 , 3, 5.9, 7fGraph each group of numbers on a number line. See FIGURE 4and FIGURE 5.
29.0, 3, 5, 6 30.2, 6, 2, 1 31. 2, 6, 4, 3, 4
- 5, 3, 2, 0, 4 33. 34. 5
1
4
, 4
5
9
, - 2
1
3
, 0, - 3
2
5
1
4
, 2
1
2
, - 3
4
5
, -4, - 1
5
8
- - -
- - - - - - -
Find (a)the opposite (or additive inverse) of each number and (b)the absolute value of each
number. See Objective 3 and Example 4.
- 8 40. 10 41. 42.-
2
5
-
3
4
- 7 - 4
Simplify by finding the absolute value. See Example 4.
47. 48. 49. 50.
51.Students often say “Absolute value is always positive.” Is this true? Explain.
52.Concept Check Trueor false: If ais negative, then |a|=-a.
- `- | 6 - 3 | -| 6 - 3 |
4
5
- -
2
3
`
|- 6 | |- 14 | -| 12 | -| 19 |
Select the lesser of the two given numbers. See Examples 3 and 4.
62.-|- 2 |, -|- 3 | 63.| 5 - 3 |, | 6 - 2 | 64.| 7 - 2 |, | 8 - 1 |
|-3.5|, |-4.5| |-8.9|, |-9.8| -|- 6 |, -|- 4 |
- 16, - 17 4, |- 5 | 4, |- 3 |
- 11, - 3 - 8, - 13 - 7, - 6
Decide whether each statement istrueorfalse.See Examples 3 and 4.
74.-|- 12 |...-|- 15 | 75.| 6 - 5 |Ú| 6 - 2 | 76.| 13 - 8 |...| 7 - 4 |