Page 345 - Basic College Mathematics with Early Integers

4.5 FRACTIONS, DECIMALS, AND ORDER OF OPERATIONS
Objectives

Write Fractions as Decimals.

Compare Decimals and Fractions. Objective Writing Fractions as Decimals
Simplify Expressions Containing To write a fraction as a decimal, we interpret the fraction bar to mean division and
Decimals and Fractions Using find the quotient.
Order of Operations.
Writing Fractions as Decimals
Solve Area Problems Containing
Fractions and Decimals. To write a fraction as a decimal, divide the numerator by the denominator.
Evaluate Expressions Given
Decimal Replacement Values. 1
Example 1 Write as a decimal.
4
PRACTICE 1
1
Solution: = 1 , 4
2 4
a. Write as a decimal.
5 0.25
9 41.00
b. Write as a decimal.
40 -8
20
- 20
0
1
Thus, written as a decimal is 0.25.
4
Work Practice 1

5
PRACTICE 2 Example 2 Write - as a decimal.
8
3
Write - as a decimal. 5
8 Solution: - = –(5÷8)=–0.625
8
0.625
85.000
-48
20
-16

40
-40
0
Work Practice 2

2
PRACTICE 3 Example 3 Write as a decimal.
3
5
a. Write as a decimal. Solution:
6 0.666 Á 2
2 32.000 This pattern will continue because 3 = 0.6666 Á
b. Write as a decimal.
9 -18
20 Remainder is 2, then 0 is brought down.
-18 Copyright 2012 Pearson Education, Inc. Copyright 2012 Pearson Education, Inc.
Answers 20 Remainder is 2, then 0 is brought down.
1. a. 0.4 b. 0.225 2. -0.375
-18
3. a. 0.83 b. 0.2
2 Remainder is 2.
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