1. Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes

2. Warm Up Write each fraction in the simplest form. 1. 2. 3. 4. 4 12 1 3 4 12 1 3 18 46 9 23 21 63 1 3
100 72 25 18
or 1 7

3. Problem of the Day
Martin recorded how much a bean plant grew each week. The first week the plant grew of an inch, of an inch the second week, and of an inch the third week. During which week did the plant grow the least? 4 7 7 8 7 9
week 1

4. Sunshine State Standards
MA.7.A.5.1 Express rational numbers as terminating or repeating decimals.

5. Vocabulary
rational number
terminating decimal
repeating decimal

6. In baseball, a player’s batting average compares the number of hits with the number of times the player has been at bat. The statistics below are for the 2006 Major League Baseball season.

7. A rational number is a number that can be written as a fraction with an integer for its numerator and a nonzero integer for its denominator. To write a rational number as a decimal, divide the numerator by the denominator.

8. Additional Example 1: Writing Fractions as Decimals
Write each fraction as a decimal. Round to the nearest hundredth, if necessary. 1 4 9 5 5 3 A. B. C. 1 .8 1 .6 6 6
0.2 5
1.00 4 5
9.0 3
5.000
– 8
– 3
– 5 20 40 20
– 20
– 40
– 18 20
– 18 1 4 9 5
= 1.8 5 3
= 0.25 20
≈ 1.67
– 18 2

9. You can use a calculator to check your division: 1 9 5 Helpful Hint33
Helpful Hint ÷ 4 =
0.25
1.8 3
1.66…

10. Check It Out: Example 1
Write each fraction as a decimal. Round to the nearest hundredth, if necessary. 3 4 6 5 7 3 A. B. C. 1 .2 2 .3 3 3
0.7 5
3.00 4 5
6.0 3
7.000
– 2 8
– 6
– 5 20 10 10
– 20
– 10
– 9 10
– 9 3 4 6 5
= 1.2 7 3
= 0.75 10
≈ 2.33
– 9 1

11. The decimals 0.75 and 1.2 in Example 1 are terminating decimals because the decimals comes to an end. The decimal 0.333…is a repeating decimal because the decimal repeats a pattern forever. You can also write a repeating decimal with a bar over the repeating part.
0.333… = 0.3
0.8333… = 0.83
… = 0.72

12. Write each fraction as a decimal. 9 25 A. 0. 3 6 25 9.00
Additional Example 2A: Write Fractions as Terminating and Repeating Decimals
Write each fraction as a decimal. 9 25 A. 0. 3 6
______ ) 25
9.00
–75
The remainder is 0.
150
–150
This is a terminating decimal.
9 25
= 0.36

13. Write each fraction as a decimal. 17 18 B. 0. 9 4 18 17.00
Additional Example 2B: Write Fractions as Terminating and Repeating Decimals
Write each fraction as a decimal. 17 18 B. 0. 9 4
______ ) 18
17.00
–162
The pattern repeats. 80
– 72
This is a repeating decimal. 8
= 0.94
17 18

14. Write each fraction as a decimal.
Check It Out: Example 2
Write each fraction as a decimal. 8 25 A. 0. 3 2
______ ) 25
8.00
– 75
The remainder is 0. 50
– 50
This is a terminating decimal.
8 25
= 0.32

15. Additional Example 3: Writing Decimals as Fractions
Write each decimal as a fraction in simplest form. A
B. 1.55 18
1,000
155
100
0.018 =
1.55 =
18 ÷ 2
1,000 ÷ 2
155 ÷ 5
100 ÷ 5 = = 9
500 31 20 11 20
or 1 = =
You read the decimal as “eighteen thousandths.”
Reading Math

16. Check It Out: Example 3
Write each decimal as a fraction in simplest form. A
B. 1.30 15
1,000
130
100
0.015 =
1.30 =
15 ÷ 5
1,000 ÷ 5
130 ÷ 10
100 ÷ 10 = = 3
200 3 10 = 13 10
or 1 =

17. Additional Example 4: Sports Application
A football player completed 1,546 of the 3,875 passes he attempted. Find his completion rate. Write your answer as a decimal rounded to the nearest thousandth.
Fraction
What the Calculator Shows
Completion Rate
1,546
3,875
1546 ÷
ENTER
3875
0.399
His completion rate is

18. Check It Out: Example 4
Johnny Unitas, a former professional quarterback, completed 2,830 of the 5,186 passes he attempted. Find his completion rate. Write your answer as a decimal rounded to the nearest thousandth.
Fraction
What the Calculator Shows
Completion Rate
2,830
5,186
2830 ÷
ENTER
5186
0.546
His completion rate is

19. Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems

20. Write each fraction as a decimal. 1. 3. 4.
Lesson Quiz
Write each fraction as a decimal. 1.
Write each decimal as a fraction in simplest form.
7. If your soccer team wins 21 out of 30 games, what is your team’s winning rate? 16 5 21 8
3.2 2.
2.625 7 10 11 20
0.7
0.55 21 50 69 8
5 8
or 8
0.70

21. Lesson Quiz for Student Response Systems
1. Which of the following represents the
fraction as a decimal?
A. 3.4
B. 3.5
C. 3.6
D. 3.7
18 5

22. Lesson Quiz for Student Response Systems
2. Which of the following represents the
fraction as a decimal?
A. 0.65
B. 0.75
C. 0.85
D. 0.95

23. Lesson Quiz for Student Response Systems
3. Which of the following represents the decimal 0.32 as a fraction in simplest form?
A C.
B D.
8 25
6 25
7 25
1 5

24. Lesson Quiz for Student Response Systems
4. Which of the following represents the decimal as a fraction in simplest form?
A. or 8 C. or 6
B. or 6 D. or 6
49 6
1 6
37 6
1 6
49 8
1 8
31 5
1 5

25. Lesson Quiz for Student Response Systems
5. If Rita scores 34 out of 50 in a class test, what is Rita’s score as a decimal?
A. 0.65
B. 0.66
C. 0.67
D. 0.68