Basic Mathematics for College Students

134 Chapter 2 The Integers

− 20

− 10

0

10

20

30

MAYA CIVILIZATION

500 B.C.

B.C./A.D.

A.D. 500

A.D. 1000

A.D. 1500

A.D. 2000

A.D. 1697

A.D. 1441

Last Maya

city conquered

by the Spanish

Mayapán

falls to

invaders

A.D. 900–

A.D. 1400

Maya culture

declines

A.D. 300–

A.D. 900

Classic period

of Maya

culture

500 B.C.

Maya culture

begins

Based on data from People in Time and Place, Western

Hemisphere (Silver Burdett & Ginn., 1991), p. 129

A vertical number line A horizontal number line

Self Check 1 EXAMPLE (^1) Graph  3 , 2, 1 , and 4 on a number line.
Graph , , 1, and 3 on a
number line.

 4  2

− 4 − 3 − 2 − 101234

− 4 − 3 − 2 − 101234

StrategyWe will locate the position of each integer on the number line and draw

a bold dot.

WHYTo graph a numbermeans to make a drawing that represents the number.

Solution

The position of each negative integer is to the left of 0. The position of each positive

integer is to the right of 0.

1,407

–1,200

–800

–400

400

0

800

2,000

$ millions

–1,600

–2,000

Eastman Kodak Company Net Income

'00

76

'01

770

'02

265

'03

556

'04

'05

–1,362

'06

–601

676

'07

Year

1,200

1,600

Source: Morningstar.com

Now TryProblem 23

By extending the number line to include negative numbers, we can represent

more situations using bar graphs and line graphs. For example, the following bar graph

shows the net income of the Eastman Kodak Company for the years 2000 through

2007. Since the net income in 2004 was positive $556 million, the company made a
      profit.Since the net income in 2005 was $1,362million, the company had a loss.