Decide whether each statement is trueor false. If it is false, tell why. See Example 4.
25.Every integer is a whole number. 26.Every natural number is an integer.
27.Every irrational number is an integer. 28.Every integer is a rational number.
29.Every natural number is a whole number. 30.Some rational numbers are irrational.
31.Some rational numbers are whole numbers. 32.Some real numbers are integers.
33.The absolute value of any number is the same as the absolute value of its additive inverse.
34.The absolute value of any nonzero number is positive.
35.Concept Check Match each expression in parts (a) – (d) with its value in choices A– D.
Choices may be used once, more than once, or not at all.
III
(a) (b) A. 4 B.
(c) (d) C.Both A and B D. Neither A nor B
36.Concept Check For what value(s) of xis true?
Give (a)the additive inverse and (b)the absolute value of each number. See the discussion of
additive inverses and Example 5.
- 6 38. 9 39. 40. 41. 42.0.16
Simplify by finding each absolute value. See Example 5.
Solve each problem. See Example 6.
|- 1 |+|- 2 |-|- 3 | |- 7 |+|- 3 |-|- 10 |
|- 9 |-|- 3 | |- 10 |-|- 7 |
- |4.5| -|12.4| |- 2 |+| 3 | |- 16 |+| 14 |
- | 5 | -| 12 | -|- 2 | -|- 6 |
`
3
4
` `
3
2
|- 8 | |- 19 | `
6
5
- 12 - 14
|x|= 4
- |- 4 | -|- 1 - 42 |
- 1 - 42 |- 4 | - 4
12 CHAPTER 1 Review of the Real Number System
Source:U.S. Census Bureau.
Metropolitan Area Percent Change
Las Vegas 35.6
San Francisco 3.7
Chicago
New Orleans
Phoenix 31.7
Detroit -0.6
5.2
Source:U.S. Census Bureau.
Trade Balance
Country (in millions of dollars)
India
China
Netherlands 1314
France
Turkey 400
59.The table shows the percent change in
population from 2000 through 2008
for selected metropolitan areas.
60.The table gives the net trade balance, in
millions of U.S. dollars, for selected
U.S. trade partners for October 2009.
(a)Which metropolitan area had the
greatest change in population? What
was this change? Was it an increase
or a decline?
(b)Which metropolitan area had the
least change in population? What was
this change? Was it an increase or a
decline?
A negative balance means that imports
to the U.S. exceeded exports from the
U.S., while a positive balance means
that exports exceeded imports.
(a)Which country had the greatest
discrepancy between exports and
imports?
(b)Which country had the least discrep-
ancy between exports and imports?
