example 1 writing decimals as fractions write the decimal as a fraction in simplest form
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EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
a. 0.8 =
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
Write eight tenths as a fraction. Simplify.a. 0.8 =
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
Write eight tenths as a fraction. Simplify.a. 0.8 = 108 =
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
Write eight tenths as a fraction. Simplify.a. 0.8 = 108
54=
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
Write eight tenths as a fraction. Simplify.a. 0.8 = 108
54=
b. 0.36 =
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
Write eight tenths as a fraction. Simplify.
Write thirty-six hundredths as a fraction. Simplify.
a. 0.8 = 108
54=
b. 0.36 =
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
Write eight tenths as a fraction. Simplify.
Write thirty-six hundredths as a fraction. Simplify.
a. 0.8 = 108
54=
b. 0.36 = 10036 =
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
Write eight tenths as a fraction. Simplify.
Write thirty-six hundredths as a fraction. Simplify.
a. 0.8 = 108
54=
b. 0.36 = 10036 = 25
9
EXAMPLE 2 Writing Decimals as Mixed Numbers
The length of a planet’s day is the time it takes the planet to rotate once about its axis. Write each length as a mixed number in simplest form.
Planets
EXAMPLE 2 Writing Decimals as Mixed Numbers
The length of a planet’s day is the time it takes the planet to rotate once about its axis. Write each length as a mixed number in simplest form.
a. Length of day on Saturn: 10.5 hours
Planets
EXAMPLE 2 Writing Decimals as Mixed Numbers
The length of a planet’s day is the time it takes the planet to rotate once about its axis. Write each length as a mixed number in simplest form.
a. Length of day on Saturn: 10.5 hoursb. Length of day on Jupiter: 9.92 hours
Planets
EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.a.10.5 =
EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.a.10.5 = 10
105
EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.
Simplify.
a.10.5 = 10
105
= 10 2
1
EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.
Simplify.
The length of a day on Saturn is 10 hours.
a.
ANSWER
10.5 = 10 105
= 10 2
1
1 2
EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.
Simplify.
The length of a day on Saturn is 10 hours.
a.
b. Write nine and ninety-two hundredths as a
ANSWER
mixed number.
10.5 = 10
105
= 10 2
1
1 2 9.92 =
EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.
Simplify.
The length of a day on Saturn is 10 hours.
a.
b. Write nine and ninety-two hundredths as a
ANSWER
mixed number.
10.5 = 10
105
= 10 2
1
1 2 9.92 = 100
92 9
EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.
Simplify.
The length of a day on Saturn is 10 hours.
a.
b. Write nine and ninety-two hundredths as a
Simplify.
ANSWER
mixed number.
10.5 = 10
105
= 10 2
1
1 2 9.92 = 100
92 9
EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.
Simplify.
The length of a day on Saturn is 10 hours.
a.
b. Write nine and ninety-two hundredths as a
Simplify.
ANSWER
mixed number.
10.5 = 10
105
= 10 2
1
1 2 9.92 = 100
92 9
9 25 23=
The length of a day on Jupiter is hours.
ANSWER
EXAMPLE 2
9 25
23
EXAMPLE 2 Writing Decimals as Mixed Numbers
EXAMPLE 3 Decimals with Zeros
Write the decimal as a fraction or mixed number in simplest form.
EXAMPLE 3 Decimals with Zeros
a.
Write the decimal as a fraction or mixed number in simplest form.
2.04
EXAMPLE 3 Decimals with Zeros
a.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
2.04
EXAMPLE 3 Decimals with Zeros
a.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number. 100
4 2 2.04 =
EXAMPLE 3 Decimals with Zeros
a.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
Simplify.
100 4 2 2.04 =
EXAMPLE 3 Decimals with Zeros
a.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
Simplify.
100 4 2 2.04 =
25 1 2 =
EXAMPLE 3 Decimals with Zeros
a.
b.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
Simplify.
100 4 2 2.04 =
25 1 2 =
4.005
EXAMPLE 3 Decimals with Zeros
a.
b. Write four and five thousandths as a mixed number.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
Simplify.
100 4 2 2.04 =
25 1 2 =
4.005
EXAMPLE 3 Decimals with Zeros
a.
b. Write four and five thousandths as a mixed number.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
Simplify.
100 4 2 2.04 =
25 1 2 =
4.005 = 1000 5
4
EXAMPLE 3 Decimals with Zeros
a.
b. Write four and five thousandths as a mixed number.
Simplify.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
Simplify.
100 4 2 2.04 =
25 1 2 =
4.005 = 1000 5
4
EXAMPLE 3 Decimals with Zeros
a.
b. Write four and five thousandths as a mixed number.
Simplify.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
Simplify.
100 4 2 2.04 =
25 1 2
=
4.005 = 1000
200 1 4 =
5
EXAMPLE 3 Decimals with Zeros
c.
0.608
EXAMPLE 3 Decimals with Zeros
c. Write six hundred eight thousandths as a fraction
0.608
EXAMPLE 3 Decimals with Zeros
c. Write six hundred eight thousandths as a
fraction. 1000
608 0.608 =
EXAMPLE 3 Decimals with Zeros
c. Write six hundred eight thousandths as a
Simplify.
fraction. 1000
608 0.608 =
EXAMPLE 3 Decimals with Zeros
c. Write six hundred eight thousandths as a
Simplify.
fraction. 1000
608 0.608 =
125 76 =
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
0.4 1.
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
0.4 1.
ANSWER 5
2
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
0.4 1.
ANSWER 5
2
2. 0.18
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
0.4 1.
ANSWER 5
2
2. 0.18
50 9 ANSWER
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.7 3.
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.7 3.
10 7
1
ANSWER
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.7 3.
10 7
1
ANSWER
4. 1.82
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.7 3.
10 7
1
ANSWER
4. 1.82
50 41 1 ANSWER
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
5. 0.03
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
5. 0.03
ANSWER 100 3
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
5. 0.03
ANSWER 100 3
6. 2.005
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
5. 0.03
ANSWER 100 3
6. 2.005
ANSWER 200
1 2
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.025
7.
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.025
7.
ANSWER 1
40 1
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.025
7.
ANSWER 1
40 1
8. 0.405
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.025
7.
ANSWER 1
40 1
8.
0.405
ANSWER 200 81
GUIDED PRACTICE for Examples 1, 2, and 3
9. What If? The length of a day on Mars is 24.62 hours. Write the length as a mixed number in simplest form.
31
GUIDED PRACTICE for Examples 1, 2, and 3
24 50
9. What If? The length of a day on Mars is 24.62 hours. Write the length as a mixed number in simplest form.
ANSWER