1. Chapter 5 Section 1 Writing Fractions as Decimals Pgs. 200-204
What you will learn:
Write fractions as terminating or repeating decimals
Compare fractions and decimals

2. Vocabulary:
Terminating decimal (200): When dividing a fraction, the division
ends, or terminates, when the remainder is zero.
Mixed number (200): The sum of a whole number and a fraction
Ex.) Mixed numbers can also be written as
2 decimals.
Repeating decimal (201): A decimal that repeats
Ex = 23 = 3
Bar notation (201): a way to show that a decimal repeats _
Ex = .6 The digit 6 repeats so the bar goes
over the 6
Period (201): is the digit or digits that repeat

3. Example 1:
Write 3 as a decimal. 8
Method 1: Use paper and pencil
0.375
3.000
- 24 60
- 56 40
- 40
0 <---- division ends when the remainder is 0
Method 2: Use a calculator
3  8 = .375
.375 is a terminating decimal.

4. Example 2:
Write 3 1 as a decimal. 2
3 1 = 3  1 Write as a sum of an integer and a fraction
= /2 = 0.5
= 3.5 Add

5. Not all fractions can be written as terminating decimals!
0.666
2 =
- 1 8 20
- 18
<-----the remainder after each step is 2
So, 2 = A repeating decimal= use bar notation 3 _ .6

6. Concept Check: __
Is a terminating or repeating decimal? Explain.
Repeating; the digits 75 repeat
The period of a repeating decimal is the digit or digits that repeat.
Decimal
Bar Notation
Period …
0.13 13 …
6.85 5 …
724

7. Example 3:
Write
as a decimal
0.5454… …
So, __
11 = _
= 0.13
Write as a decimal 15 _ =

8. Compare Fractions and Decimals
Replace  with , , or 
3  0.75 5
To make this easier, change the 3/5 to a decimal and then compare
3/5 = 0.6
Rewrite the problem:
0.6  0.75
0.6 < 0.75

9. Compare Fractions to Solve a Problem
In a survey of students, 12 boys and 15 girls own a dog.
Of those those surveyed, do a greater fraction of boys or girls
own a dog?
Write the fractions as decimals and then compare the decimals.
Boys: = 0.60 20
Girls: = 24
Since 0.60 < 0.625,
12/20 < 15/24
So more girls own dogs!

10. Replace each  with <, >, = to make a true sentence..
Your Turn!
Write each fraction or mixed number as a decimal. Use bar
Notation to show a repeating decimal.
6/ / / / /44 _
0.83 __
8.81
0.16
0.6
Replace each  with <, >, = to make a true sentence..
7/8  5/  5/ /5  12/20 _
 2 1/ /8  3.78
>
< =
>
>

11. Homework
Take the sheet by the door and do the evens!