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

2. Warm Up
Find the GCF of each set of numbers.
1. 15, 24
2. 30, 60
3. 54, 102
4. 12, 16, 24 3 30 6 4

3. Write the day of the month as the product of two factors.
Problem of the Day
Write the day of the month as the product of two factors.
Possible answer: 12th of the month, 6  2

4. Vocabulary
mixed number
terminating decimal
repeating decimal

5. A number that contains both a whole number greater than 0 and a fraction, such as 1 , is called a mixed number. __ 3 4
Mixed numbers
1 4
1 2
3 4 __ 4 1 1 __ 2 1 __ 4 3 2 __ 4 1 2 __ 1

6. Additional Example 1A: Writing Decimals as Fractions or Mixed Numbers
Write each decimal as a fraction or mixed number.
0.67
0.67
Identify the place value of the digit farthest to the right.
100
____ 67
The 7 is in the hundredths place, so use 100 as the denominator.
Remember!
Ones
Tenths
Hundredths
Thousandths
Place Value

7. Additional Example 1B: Writing Decimals as Fractions or Mixed Numbers
Write each decimal as a fraction or mixed number.
5.9
5.9
Identify the place value of the digit farthest to the right. 10
___ 9 5
Write the whole number, 5. The 9 is in the tenths place, so use 10 as the denominator.

8. Check It Out: Example 1A
Write each decimal as a fraction or mixed number.
0.24
100
____ 24 25 6 or

9. Write each decimal as a fraction or mixed number.
Check It Out: Example 1B
Write each decimal as a fraction or mixed number.
3.07
100
___ 7 3

10. Write each decimal as a fraction or mixed number.
Check It Out: Example 1C
Write each decimal as a fraction or mixed number.
0.5 10 __ 5 2 1 or

11. Write each decimal as a fraction or mixed number.
Check It Out: Example 1D
Write each decimal as a fraction or mixed number.
4.8 10
____ 8 5 4 or

12. Additional Example 2A: Writing Fractions as Decimals
Write each fraction or mixed number as a decimal. 20
____ 3 .1 5
Divide 3 by 20. 20 3
.00
Add zeros after the decimal point.
- 20
100
- 100
The remainder is 0. 20
____ 3 =
0.15

13. Writing Math
To write a repeating decimal, you can show three dots or draw a bar over the repeating part: 0.666… = 0.6

14. Additional Example 2B: Writing Fractions as Decimals
Write each fraction or mixed number as a decimal. 3 __ 1 6 .3 3 3
Divide 1 by 3. 3 1
.000
Add zeros after the decimal point.
- 9 10
The 3 repeats in the quotient.
- 9 10
- 9
6.333… = 6.3 _ 1 3 __ 1 6 =

15. Write each fraction or mixed number as a decimal.
Check It Out: Example 2A
Write each fraction or mixed number as a decimal. 20
____ 5
.00
- 40 .2 5 20
100
- 100 __ =
0.25

16. Write each fraction or mixed number as a decimal.
Check It Out: Example 2B
Write each fraction or mixed number as a decimal. 8 __ 1 3
.000
- 8 1 8 20
- 16
0.125 40 =
- 40 __ 3
3.125

17. Write each fraction or mixed number as a decimal.
Check It Out: Example 2C
Write each fraction or mixed number as a decimal. 9 __ 7
0.777
.000
- 63 7 9 70 = __
0.7

18. Common Fractions and Equivalent Decimals
A terminating decimal, such as 0.75, has a finite number of decimal places. A repeating decimal, such as 0.666…, has a block of one or more digits that repeat continuously
0.8
0.75
0.6
0.5
0.4
0.3
0.25
0.2
Common Fractions and Equivalent Decimals 1 5 __ 1 4 __ 1 3 __ 2 5 __ 1 2 __ 3 5 __ 2 3 __ 3 4 __ 4 5 __

19. Additional Example 3: Comparing and Ordering Fractions and Decimals
Order the fractions and decimal from least to greatest. __ 3 __ 7
, 0.8, 4 10 3 __ 4 __ 10 7
First rewrite the fractions as decimals = = 0.7
Order the three decimals. 7 __ 10 3 __ 4
0.7
0.75
0.8
The numbers in order from least to greatest are , , and 0.8. 7 10 3 4

20. Order the fractions and decimal from least to greatest.
Check It Out: Example 3A
Order the fractions and decimal from least to greatest. __
, 0.35, 1 1 __ 4 2 1 __ 4 2
, 0.35 ,

21. Order the fractions and decimal from least to greatest.
Check It Out: Example 3B
Order the fractions and decimal from least to greatest. 3
0.3, __
, 0.53 5
0.3,
0.53, __ 5 3

22. Order the fractions and decimal from least to greatest.
Check It Out: Example 3C
Order the fractions and decimal from least to greatest. 9 __
, 0.89 , 0.90 10
0.89 , __ 10 9
, 0.90

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

24. Write each decimal as a fraction or mixed number. 1. 0.24 2. 6.75
Lesson Quiz: Part I
Write each decimal as a fraction or mixed number.
Write each fraction or mixed number as a decimal. 6 25
____ 6 3 4 __ 3 5 __
2.6 8 __ 7
0.875

25. 5. Order the fractions and decimals from least to greatest.
Lesson Quiz: Part II
5. Order the fractions and decimals from least to greatest.
0.38, ,
6. Jamal ran the following distances on three different days: 0.87 mile, mile, and 0.13 mile. Order the distances from least to greatest. 3 4 __ 1 5 __ 1 5 __
, 0.38, 3 4 __ 2 3 __ 2 3 __
0.13, , 0.87

26. Lesson Quiz for Student Response Systems
1. Which of the following represents the given decimal as a fraction?
0.26
A C.
B D.

27. Lesson Quiz for Student Response Systems
2. Which of the following represents the given decimal as a mixed number?
5.25
A C.
B D.

28. Lesson Quiz for Student Response Systems
3. Which of the following represents the given mixed number as a decimal?
A C. 3.5
B D. 5.2

29. Lesson Quiz for Student Response Systems
4. Which of the following represents the given fraction as a decimal?
A C
B D

30. Lesson Quiz for Student Response Systems
5. Which of the following represents the given fractions and decimals ordered from least to greatest?
A C.
B D.