Page 197 - Basic College Mathematics with Early Integers

174 C HAPTE R 3 I FRACTIONS

12.

improper fraction: &
mixed number: 3!

Work Practice 11–12

3
Concept Check If you were to round 3 , shown in Example 12 above, to
4
the nearest whole number, would you choose 3 or 4? Why?

Objective Graphing Fractions on a Number Line

Another way to visualize fractions is to graph them on a number line. To do this,
2
think of 1 unit on the number line as a whole. To graph , for example, divide the
5
distance from 0 to 1 into 5 equal parts.Then start at 0 and count 2 parts to the right.
2 parts

0 W 1 2
5 equal parts

2
Notice that the graph of lies between 0 and 1.This means
5
2 2 2
0 6 aor 7 0b and also 6 1
5 5 5

PRACTICE 13 Example 13 Graph each fraction on a number line.
Graph each fraction on a
3 1 3 9 6
number line. a. b. c. d. e.
4 2 6 5 6
5 2 4
a. b. c.
7 3 6 Solution:
5 7 3
d. e. a. To graph , divide the distance from 0 to 1 into 4 parts. Then start at 0 and
4 7 4
count over 3 parts.
3

0 ! 1 2

4
Answers b. 1 c. 3
13. a.
0 ∞ 1
b. 0 q 1 2 0 3 6 1 2
0 s 1
c. 2 6
0 4 1
6 d. 9 e. 6
d.
0 1 @ 2 Copyright 2012 Pearson Education, Inc.
e. 0 1 2 0 1 or 6 2
0 1 or 7 I 6
7
5 6
Concept Check Answer
4, answers may vary Work Practice 13