Warm Up

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Warm Up
Problem of the Day
Lesson Presentation
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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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Learn to convert between decimals and fractions.
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Insert Lesson Title Here
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
__
4
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.
0.73
Identify the place value of the digit farthest to
the right.
0.73
The 7 is in the hundredths place, so use 100 as
the denominator.
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Check It Out Example 1B Write each decimal as a
fraction or mixed number.
4.8
Identify the place value of the digit farthest to
the right.
4.8
Write the whole number, 4. The 8 is in the
tenths place, so use 10 as the denominator.
4
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Additional Example 2A Writing Fractions as
Decimals Write each fraction or mixed number as a
decimal.
0
.1
5
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 three 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.
0
.2
5
Divide 5 by 20.
.00
5
20
Add zeros after the decimal point.
- 40
100
- 100
The remainder is 0.
0

0.25
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Check It Out Example 2B Write each fraction or
mixed number as a decimal.
7
0
.6
6
6
Divide 2 by 3.
.000
2
3
Add zeros after the decimal point.
- 18
20
The six repeats in the quotient.
- 18
20
- 18
2
7

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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
Common Fractions and Equivalent Decimals Common Fractions and Equivalent Decimals Common Fractions and Equivalent Decimals Common Fractions and Equivalent Decimals Common Fractions and Equivalent Decimals Common Fractions and Equivalent Decimals Common Fractions and Equivalent Decimals Common Fractions and Equivalent Decimals Common Fractions and Equivalent Decimals

0.2 0.25 0.3 0.4 0.5 0.6 0.6 0.75 0.8
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Additional Example 3 Comparing and Ordering
Fractions and Decimals Order the fractions and
decimals from least to greatest.
3
7
__
__
, 0.8,
10
4
7
First rewrite the fractions as a decimal.
0.75 0.7 Order the three decimals.
0
0.8
0.75
0.7
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Check It Out Example 3 Order the fractions and
decimals from least to greatest.
1
__
, 0.35,
2
First rewrite the fractions as decimals.
0.5 0.25 Order the three decimals.
0
0.35
0.5
0.25
1
__
The numbers in order from least to greatest are
, 0.35, and .
2
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Insert Lesson Title Here
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.
7
0.875
2.6
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8
20
Insert Lesson Title Here
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