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EXAMPLE 1 Writing Decimals as Fractions

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Presentation on theme: "EXAMPLE 1 Writing Decimals as Fractions"— Presentation transcript:

1 EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form.

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

3 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.

4 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.

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

6 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 =

7 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 = Write thirty-six hundredths as a fraction. Simplify.

8 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 = = Write thirty-six hundredths as a fraction. 100 Simplify.

9 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 = = Write thirty-six hundredths as a fraction. 100 25 Simplify.

10 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.

11 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

12 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

13 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.

14 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

15 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

16 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 hours. 2

17 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 hours. 2 Write nine and ninety-two hundredths as a 9.92 = b. mixed number.

18 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 hours. 2 100 92 9.92 = b. 9 Write nine and ninety-two hundredths as a mixed number.

19 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 hours. 2 100 92 9.92 = b. 9 Write nine and ninety-two hundredths as a mixed number. Simplify.

20 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 hours. 2 100 92 9.92 = b. 9 Write nine and ninety-two hundredths as a mixed number. 23 Simplify. = 9 25

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

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

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

24 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.

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

26 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.

27 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

28 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

29 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.

30 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

31 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.

32 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

33 EXAMPLE 3 Decimals with Zeros c. 0.608

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

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

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

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

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

39 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

40 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

41 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

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

43 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

44 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

45 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

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

47 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

48 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

49 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

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

51 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

52 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

53 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

54 GUIDED PRACTICE for Examples 1, 2, and 3 9. What If? The length of a day on Mars is hours. Write the length as a mixed number in simplest form.

55 GUIDED PRACTICE for Examples 1, 2, and 3 9. What If? The length of a day on Mars is hours. Write the length as a mixed number in simplest form. 31 ANSWER 24 50


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