Beginning Algebra, 11th Edition

34 CHAPTER 1 The Real Number System

15.Every natural number is positive. 16.Every whole number is positive.

Concept Check Give three numbers between and 6 that satisfy each given condition.

21.Positive real numbers but not integers 22.Real numbers but not positive numbers

23.Real numbers but not whole numbers 24.Rational numbers but not integers

25.Real numbers but not rational numbers 26.Rational numbers but not negative

numbers

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Concept Check In Exercises 15–20, decide whether each statement is trueorfalse.

Concept Check In Exercises 9–14, give a number that satisfies the given condition.

9.An integer between 3.6 and 4.6 10.A rational number between 2.8 and 2.9

11.A whole number that is not positive and is less than 1

12.A whole number greater than 3.5

13.An irrational number that is between and

14.A real number that is neither negative nor positive

 12  14

17.Every integer is a rational number. 18.Every rational number is a real number.

19.Some numbers are both rational and

irrational.

20.Every terminating decimal is a rational

number.

Complete solution available
on the Video Resources on DVD

1.4 EXERCISES

In Exercises 1– 4, use an integer to express each number in boldface italics representing a

change. In Exercises 5– 8, use a rational number. See Example 1.

1.Between July 1, 2006, and July 1, 2007, the population of the United States increased by

approximately 2,866,000.(Source:U.S. Census Bureau.)

2.Between 2006 and 2007, the number of movie screens in the United States increased by

409 .(Source:Motion Picture Association of America.)

3.From 2006 to 2007, attendance at the World Series went from 225,000 to 173,000, a de-

crease of 52,000.(Source:Major League Baseball.)

4.In 1935, there were 15,295 banks in the United States. By 2008, the number was 8441,

representing a decrease of 6854 banks. (Source:Federal Deposit Insurance Corporation.)

5.The number of bachelor’s degrees in computer and information sciences in the United

States declined 11.2% from the 2005–2006 academic year to the 2006–2007 year, while

the number of bachelor’s degrees in biological and biomedical sciences rose 8.6%.

(Source:National Center for Education Statistics.)

6.Between 2006 and 2007, print advertising revenue in the United States declined 9.4%,

while online advertising rose 18.8%. (Source:Newspaper Association of America.)

7.On Tuesday, August 18, 2009, the Dow Jones

Industrial Average (DJIA) closed at 9217.94. On

the previous day it had closed at 9135.34. Thus,

on Tuesday, it closed up 82.60points. (Source:

The Washington Post.)

8.On Monday, August 17, 2009, the NASDAQ

closed at 1930.84. On the previous Friday, it had

closed at 1985.52. Thus, on Monday, it closed

down 54.68points. (Source: The Washington

Post.)

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