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4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

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Page 1: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

4-4 Decimals and Fractions

Course 1

Warm UpWarm Up

Problem of the DayProblem of the Day

Lesson PresentationLesson Presentation

Page 2: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Warm UpFind the GCF of each set of numbers.

1. 15, 24

2. 30, 60

3. 54, 102

4. 12, 16, 24

3

30

6

Course 1

4-4 Decimals and Fractions

4

Page 3: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Problem of the Day

Write the day of the month as the product of two factors.

Possible answer: 12th of the month, 6 2

Course 1

4-4 Decimals and Fractions

Page 4: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Learn to convert between decimals and fractions.

Course 1

4-4 Decimals and Fractions

Page 5: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Vocabulary

mixed numberterminating decimalrepeating decimal

Insert Lesson Title Here

Course 1

4-4 Decimals and Fractions

Page 6: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Course 1

4-4 Decimals and Fractions

A number that contains both a whole number greater than 0 and a fraction, such as 1 , is called a mixed number.

34

__

__41

1 1__21

1 __43

2 __41

2 __21

Mixed numbers12

14

34

0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5

Page 7: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Course 1

4-4 Decimals and Fractions

Additional Example 1A: Writing Decimals as Fractions or Mixed Numbers

Write each decimal as a fraction or mixed number.

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.

0.67

100____67 Remember!

One

s

Ten

ths

Hun

dred

ths

Tho

usan

dths

Place Value

Page 8: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Course 1

4-4 Decimals and Fractions

Additional Example 1B: Writing Decimals as Fractions or Mixed Numbers

Write each decimal as a fraction or mixed number.

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.

5.9

10 ___ 9

5

Page 9: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Course 1

4-4 Decimals and Fractions

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.

The 7 is in the hundredths place, so use 100 as the denominator.

0.73

100____73

Page 10: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Course 1

4-4 Decimals and Fractions

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.Write the whole number, 4. The 8 is in the tenths place, so use 10 as the denominator.

4.8

10 ___ 8

4

Page 11: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Course 1

4-4 Decimals and Fractions

Additional Example 2A: Writing Fractions as Decimals

Write each fraction or mixed number as a decimal.

Divide 3 by 20.

Add zeros after the decimal point.

0 20____ 3

The remainder is 0.

.00- 20

.1320

100- 100

5

0

20____ 3

= 0.15

Page 12: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Course 1

4-4 Decimals and Fractions

To write a repeating decimal, you can show three dots or draw a bar over the repeating part: 0.666… = 0.6

Writing Math

Page 13: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Course 1

4-4 Decimals and Fractions

Additional Example 2B: Writing Fractions as Decimals

Divide 1 by 3.

Add zeros after the decimal point.

0 3 __ 1

The three repeats in the quotient.

.000- 9

.31 3

10- 9

3

10

=

6

- 9

3

1 3 __ 1

6 6.333… = 6.3_

Write each fraction or mixed number as a decimal.

Page 14: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Course 1

4-4 Decimals and Fractions

Check It Out: Example 2A

Write each fraction or mixed number as a decimal.

Divide 5 by 20.

Add zeros after the decimal point.

0

20____ 5

The remainder is 0.

.00- 40

.25 20

100- 100

5

0

20____ 5

= 0.25

Page 15: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Course 1

4-4 Decimals and Fractions

Check It Out: Example 2B

Write each fraction or mixed number as a decimal.

Divide 2 by 3.

Add zeros after the decimal point.

0

3 __ 2

The six repeats in the quotient.

.000- 18

.62 3

20- 18

6

20

=

7

- 18

6

2 3 __ 2

7 7.666… = 7.6_

Page 16: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Course 1

4-4 Decimals and Fractions

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

0.2 0.25 0.3 0.4 0.5 0.6 0.6 0.75 0.8

13__1

5__ 1

4__ 2

5__ 1

2__ 3

5__ 2

3__ 3

4__ 4

5__

Page 17: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Course 1

4-4 Decimals and Fractions

Additional Example 3: Comparing and Ordering Fractions and Decimals

Order the fractions and decimals from least to greatest.

, 0.8, 7 __10

3__4

First rewrite the fractions as a decimal. = 0.75 = 0.7

Order the three decimals.

3 __ 4

0

7 __10

__107

3 __ 4

0.75 0.80.7

The numbers in order from least to greatest are , , and 0.8. 710

3 4

Page 18: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Course 1

4-4 Decimals and Fractions

Check It Out: Example 3

Order the fractions and decimals from least to greatest.

, 0.35, 1 __ 4

1__2

First rewrite the fractions as decimals. = 0.5 = 0.25

Order the three decimals.

1 __ 2

0

1 __ 4

1__ 2

The numbers in order from least to greatest are , 0.35, and . 1 __ 4

1 __ 2

0.35 0.50.25

1 __ 4

Page 19: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

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.

Insert Lesson Title Here

2.6 0.875

Course 1

4-4 Decimals and Fractions

35

__

8__7

625

____

6 34

__

Page 20: 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

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.

0.13, , 0.87

Insert Lesson Title Here

Course 1

4-4 Decimals and Fraction

34__ 1

5__

23__

15__ , 0.38, 3

4__

23__