EXAMPLE 1 Writing Decimals as Fractions

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Presentation transcript:

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 =

Writing Decimals as Fractions EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form. a. 0.8 = Write eight tenths as a fraction. Simplify.

Writing Decimals as Fractions EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form. 10 8 a. 0.8 = = Write eight tenths as a fraction. Simplify.

Writing Decimals as Fractions EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form. 10 8 4 a. 0.8 = = Write eight tenths as a fraction. Simplify. 5

Writing Decimals as Fractions EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form. 10 8 4 a. 0.8 = = Write eight tenths as a fraction. Simplify. 5 b. 0.36 =

Writing Decimals as Fractions EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form. 10 8 4 a. 0.8 = = Write eight tenths as a fraction. Simplify. 5 b. 0.36 = Write thirty-six hundredths as a fraction. Simplify.

Writing Decimals as Fractions EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form. 10 8 4 a. 0.8 = = Write eight tenths as a fraction. Simplify. 5 36 b. 0.36 = = Write thirty-six hundredths as a fraction. 100 Simplify.

Writing Decimals as Fractions EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form. 10 8 4 a. 0.8 = = Write eight tenths as a fraction. Simplify. 5 36 9 b. 0.36 = = Write thirty-six hundredths as a fraction. 100 25 Simplify.

EXAMPLE 2 Writing Decimals as Mixed Numbers Planets 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.

EXAMPLE 2 Writing Decimals as Mixed Numbers Planets 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

EXAMPLE 2 Writing Decimals as Mixed Numbers Planets 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 b. Length of day on Jupiter: 9.92 hours

Writing Decimals as Mixed Numbers EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION a. 10.5 = Write ten and five tenths as a mixed number.

Writing Decimals as Mixed Numbers EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION 5 a. 10.5 = 10 Write ten and five tenths as a mixed number. 10

Writing Decimals as Mixed Numbers EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION 5 a. 10.5 = 10 Write ten and five tenths as a mixed number. 10 1 = 10 Simplify. 2

Writing Decimals as Mixed Numbers EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION 5 a. 10.5 = 10 Write ten and five tenths as a mixed number. 10 1 = 10 Simplify. 2 ANSWER 1 The length of a day on Saturn is 10 hours. 2

Writing Decimals as Mixed Numbers EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION 5 a. 10.5 = 10 Write ten and five tenths as a mixed number. 10 1 = 10 Simplify. 2 ANSWER 1 The length of a day on Saturn is 10 hours. 2 Write nine and ninety-two hundredths as a 9.92 = b. mixed number.

Writing Decimals as Mixed Numbers EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION 5 a. 10.5 = 10 Write ten and five tenths as a mixed number. 10 1 = 10 Simplify. 2 ANSWER 1 The length of a day on Saturn is 10 hours. 2 100 92 9.92 = b. 9 Write nine and ninety-two hundredths as a mixed number.

Writing Decimals as Mixed Numbers EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION 5 a. 10.5 = 10 Write ten and five tenths as a mixed number. 10 1 = 10 Simplify. 2 ANSWER 1 The length of a day on Saturn is 10 hours. 2 100 92 9.92 = b. 9 Write nine and ninety-two hundredths as a mixed number. Simplify.

Writing Decimals as Mixed Numbers EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION 5 a. 10.5 = 10 Write ten and five tenths as a mixed number. 10 1 = 10 Simplify. 2 ANSWER 1 The length of a day on Saturn is 10 hours. 2 100 92 9.92 = b. 9 Write nine and ninety-two hundredths as a mixed number. 23 Simplify. = 9 25

EXAMPLE 2 Writing Decimals as Mixed Numbers ANSWER 23 The length of a day on Jupiter is hours. 9 25 EXAMPLE 2

EXAMPLE 3 Decimals with Zeros Write the decimal as a fraction or mixed number in simplest form.

EXAMPLE 3 Decimals with Zeros Write the decimal as a fraction or mixed number in simplest form. a. 2.04

Write the decimal as a fraction or mixed number in simplest form. EXAMPLE 3 Decimals with Zeros Write the decimal as a fraction or mixed number in simplest form. a. 2.04 Write two and four hundredths as a mixed number.

Write the decimal as a fraction or mixed number in simplest form. EXAMPLE 3 Decimals with Zeros Write the decimal as a fraction or mixed number in simplest form. 4 a. 2.04 = 2 Write two and four hundredths as a mixed number. 100

Write the decimal as a fraction or mixed number in simplest form. EXAMPLE 3 Decimals with Zeros Write the decimal as a fraction or mixed number in simplest form. 4 a. 2.04 = 2 Write two and four hundredths as a mixed number. 100 Simplify.

Write the decimal as a fraction or mixed number in simplest form. EXAMPLE 3 Decimals with Zeros Write the decimal as a fraction or mixed number in simplest form. 4 a. 2.04 = 2 Write two and four hundredths as a mixed number. 100 Simplify. 1 = 2 25

Write the decimal as a fraction or mixed number in simplest form. EXAMPLE 3 Decimals with Zeros Write the decimal as a fraction or mixed number in simplest form. 4 a. 2.04 = 2 Write two and four hundredths as a mixed number. 100 Simplify. 1 = 2 25 b. 4.005

Write the decimal as a fraction or mixed number in simplest form. EXAMPLE 3 Decimals with Zeros Write the decimal as a fraction or mixed number in simplest form. 4 a. 2.04 = 2 Write two and four hundredths as a mixed number. 100 Simplify. 1 = 2 25 b. 4.005 Write four and five thousandths as a mixed number.

Write the decimal as a fraction or mixed number in simplest form. EXAMPLE 3 Decimals with Zeros Write the decimal as a fraction or mixed number in simplest form. a. 2.04 = 2 Write two and four hundredths as a mixed number. 100 4 1 = 2 Simplify. 25 5 b. 4.005 = 4 Write four and five thousandths as a mixed number. 1000

Write the decimal as a fraction or mixed number in simplest form. EXAMPLE 3 Decimals with Zeros Write the decimal as a fraction or mixed number in simplest form. 4 a. 2.04 = 2 Write two and four hundredths as a mixed number. 100 Simplify. 1 = 2 25 5 b. 4.005 = 4 Write four and five thousandths as a mixed number. 1000 Simplify.

Write the decimal as a fraction or mixed number in simplest form. EXAMPLE 3 Decimals with Zeros Write the decimal as a fraction or mixed number in simplest form. 4 a. 2.04 = 2 Write two and four hundredths as a mixed number. 100 Simplify. 1 2 25 = 5 b. 4.005 = Write four and five thousandths as a mixed number. 1000 1 = 4 Simplify. 200

EXAMPLE 3 Decimals with Zeros c. 0.608

EXAMPLE 3 Decimals with Zeros c. 0.608 Write six hundred eight thousandths as a fraction

EXAMPLE 3 Decimals with Zeros 608 c. 0.608 = 1000 Write six hundred eight thousandths as a 1000 fraction.

EXAMPLE 3 Decimals with Zeros 608 c. 0.608 = 1000 Write six hundred eight thousandths as a 1000 fraction. Simplify.

EXAMPLE 3 Decimals with Zeros 608 c. 0.608 = 1000 125 76 = Write six hundred eight thousandths as a 1000 fraction. Simplify. 125 76 =

GUIDED PRACTICE for Examples 1, 2, and 3 Write the decimal as a fraction or mixed number in simplest form. 1. 0.4

GUIDED PRACTICE for Examples 1, 2, and 3 Write the decimal as a fraction or mixed number in simplest form. 1. 0.4 2 ANSWER 5

GUIDED PRACTICE for Examples 1, 2, and 3 Write the decimal as a fraction or mixed number in simplest form. 1. 0.4 2 ANSWER 5 2. 0.18

GUIDED PRACTICE for Examples 1, 2, and 3 Write the decimal as a fraction or mixed number in simplest form. 1. 0.4 2 ANSWER 5 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. 3. 1.7

GUIDED PRACTICE for Examples 1, 2, and 3 Write the decimal as a fraction or mixed number in simplest form. 3. 1.7 7 ANSWER 1 10

GUIDED PRACTICE for Examples 1, 2, and 3 Write the decimal as a fraction or mixed number in simplest form. 3. 1.7 7 ANSWER 1 10 4. 1.82

GUIDED PRACTICE for Examples 1, 2, and 3 Write the decimal as a fraction or mixed number in simplest form. 3. 1.7 7 ANSWER 1 10 4. 1.82 50 41 ANSWER 1

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. 0.03 100 3 ANSWER

GUIDED PRACTICE for Examples 1, 2, and 3 Write the decimal as a fraction or mixed number in simplest form. 5. 0.03 100 3 ANSWER 6. 2.005

GUIDED PRACTICE for Examples 1, 2, and 3 Write the decimal as a fraction or mixed number in simplest form. 5. 0.03 100 3 ANSWER 6. 2.005 200 1 ANSWER 2

GUIDED PRACTICE for Examples 1, 2, and 3 Write the decimal as a fraction or mixed number in simplest form. 7. 1.025

GUIDED PRACTICE for Examples 1, 2, and 3 Write the decimal as a fraction or mixed number in simplest form. 7. 1.025 1 ANSWER 1 40

GUIDED PRACTICE for Examples 1, 2, and 3 Write the decimal as a fraction or mixed number in simplest form. 7. 1.025 1 ANSWER 1 40 8. 0.405

GUIDED PRACTICE for Examples 1, 2, and 3 Write the decimal as a fraction or mixed number in simplest form. 7. 1.025 1 ANSWER 1 40 8. 0.405 81 ANSWER 200

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.

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 ANSWER 24 50