Warm Up

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Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes
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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
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Problem of the Day Write the day of the month as
the product of two factors.
Possible answer 12th of the month, 6 ? 2
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Vocabulary
mixed number terminating decimal repeating
decimal
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A number that contains both a whole number
greater than 0 and a fraction, such as 1 , is
called a mixed number.
3
__
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Mixed numbers
12
14
34
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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.
The 7 is in the hundredths place, so use 100 as
the denominator.
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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.
Write the whole number, 5. The 9 is in the
tenths place, so use 10 as the denominator.
5
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Check It Out Example 1A Write each decimal as a
fraction or mixed number.
0.24
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Check It Out Example 1B Write each decimal as a
fraction or mixed number.
3.07
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Check It Out Example 1C Write each decimal as a
fraction or mixed number.
0.5
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Check It Out Example 1D Write each decimal as a
fraction or mixed number.
4.8
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Additional Example 2A Writing Fractions as
Decimals Write each fraction or mixed number as a
decimal.
0
.1
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Divide 3 by 20.
3
20
Add zeros after the decimal point.
.00
- 20
100
- 100
The remainder is 0.
0

0.15
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Writing Math
To write a repeating decimal, you can show three
dots or draw a bar over the repeating part
0.666 0.6
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Additional Example 2B Writing Fractions as
Decimals
Write each fraction or mixed number as a decimal.
6
0
.3
3
3
Divide 1 by 3.
.000
1
3
Add zeros after the decimal point.
- 9
10
The 3 repeats in the quotient.
- 9
10
- 9
1
6

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Check It Out Example 2A Write each fraction or
mixed number as a decimal.
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Check It Out Example 2B Write each fraction or
mixed number as a decimal.
3
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Check It Out Example 2C Write each fraction or
mixed number as a decimal.
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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
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Additional Example 3 Comparing and Ordering
Fractions and Decimals Order the fractions and
decimal from least to greatest.
3
7
__
__
, 0.8,
10
4
7
First rewrite the fractions as decimals.
0.75 0.7 Order the three decimals.
0
0.8
0.75
0.7
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Check It Out Example 3A Order the fractions and
decimal from least to greatest.
1
__
, 0.35,
2
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Check It Out Example 3B Order the fractions and
decimal from least to greatest.
3
__
0.3,
, 0.53
5
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Check It Out Example 3C Order the fractions and
decimal from least to greatest.
9
__

, 0.89 , 0.90
10
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Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems
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Lesson Quiz Part I
Write each decimal as a fraction or mixed
number. 1. 0.24 2. 6.75 Write each fraction or
mixed number as a decimal. 3. 2 4.
2.6
0.875
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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.
, 0.38,
0.13, , 0.87
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Lesson Quiz for Student Response Systems
1. Which of the following represents the given
decimal as a fraction? 0.26 A. C. B.
D.
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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.
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Lesson Quiz for Student Response Systems
3. Which of the following represents the given
mixed number as a decimal? A. 2.3 C. 3.5
B. 3.4 D. 5.2
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Lesson Quiz for Student Response Systems
4. Which of the following represents the given
fraction as a decimal? A. 0.2565 C. 0.5625
B. 0.5256 D. 0.6525
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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.