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Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

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Page 1: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a
Page 2: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

Five-Minute Check (over Chapter 1)

Main Idea and Vocabulary

Key Concepts: Rational Numbers

Example 1:Write a Fraction as a Decimal

Example 2:Write a Repeating Decimal

Example 3:Real-World Example: Round a Repeating Decimal

Example 4:Write a Decimal as a Fraction

Example 5: Write a Decimal as a Fraction

Page 3: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

• rational number

• terminating decimal

• repeating decimal

• bar notation

• Express rational numbers as decimals and decimals as fractions.

Page 4: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a
Page 5: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

Write a Fraction as a Decimal

Write as a decimal.

0

–160

.1

–128

8

0–112

75

14

12

80–80

0

Divide 3 by 16.

Answer: 0.1875

Page 6: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

1. A

2. B

3. C

4. D0% 0%0%0%

A. 0.0515

B. 0.0625

C. 0.0875

D. 0.16

Page 7: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

Write a Repeating Decimal

You can divide as shown in Example 1 or use a calculator.

Answer:

–35 11 –3.18181818ENTER÷

Page 8: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

1. A

2. B

3. C

4. D0% 0%0%0%

A. 5.1

B. 5.15

C. 5.2

D. 5.9

Page 9: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

AGRICULTURE A farmer lost the fruit on 8 of 15 orange trees because of unexpected freezing temperatures. Find the fraction of the orange trees that did not produce fruit. Express your answer as a decimal rounded to the nearest thousandth.

To find the fraction of trees that did not produce fruit, divide the number of lost trees, 8, by the total number of trees, 15.

Round a Repeating Decimal

8 15 0.5333333333ENTER÷

Look at the digit to the right of the thousandths place. Round down since 3 < 5.

Page 10: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

Answer: The fraction of fruit trees that did not produce fruit was 0.533.

Round a Repeating Decimal

Page 11: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

1. A

2. B

3. C

4. D0% 0%0%0%

A. 0.094

B. 0.148

C. 0.182

D. 0.252

SCHOOL In Mrs. Townley’s eighth grade science class, 4 out of 22 students did not turn in their homework. Find the fraction of the students who did not turn in their homework. Express your answer as a decimal rounded to the nearest thousandth.

Page 12: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

Write 0.32 as a fraction.

0.32 is 32 hundredths.

Write a Decimal as a Fraction

Simplify.

Answer:

Page 13: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

1. A

2. B

3. C

4. D0% 0%0%0%

Write 0.16 as a fraction.

A.

B.

C.

D.

Page 14: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

Write a Decimal as a Fraction

ALGEBRA Write 2.7 as a mixed number.

Multiply N by 10 because 1 digit repeats.

Let N = 2.7 or 2.777... . Then 10N = 27.777... .

Subtract N = 2.777... to eliminate the repeating part, 0.777... .

Page 15: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

Divide each side by 9.

Write a Decimal as a Fraction

Answer:

9N = 25 10N – 1N = 9N

10N = 27.777...–1N = 2.777...

Simplify.

Page 16: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

1. A

2. B

3. C

4. D0% 0%0%0%

ALGEBRA Write 1.7 as a mixed number.

A.

B.

C.

D.

Page 17: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

End of the Lesson

Page 18: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

Five-Minute Check (over Chapter 1)

Image Bank

Math Tools

Multiplying Fractions

Multiplying and Dividing Fractions

Page 19: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

1. A

2. B

3. C

4. D0% 0%0%0%

A. 22

B. 25

C. 42

D. 50

Evaluate 8 + (20 – 3)(2).

(over Chapter 1)

Page 20: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

1. A

2. B

3. C

4. D0% 0%0%0%

A. 25

B. 7

C. –7

D. –25

Evaluate 16 + (–9).

(over Chapter 1)

Page 21: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

1. A

2. B

3. C

4. D0% 0%0%0%

A. 17

B. 3

C. –3

D. –17

Evaluate –7 – 10.

(over Chapter 1)

Page 22: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

1. A

2. B

3. C

4. D0% 0%0%0%

A. 90

B. 19

C. –19

D. –90

(over Chapter 1)

Page 23: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

1. A

2. B

3. C

4. D0% 0%0%0%

A. 40

B. 10

C. –10

D. –40

(over Chapter 1)

Solve the equation Then check your solution.

Page 24: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 344

B. 2,150

C. 340

D. 443

Yasmine earns $0.25 for each cup of lemonade she sells. She earned $86 last Thursday selling lemonade. How many cups of lemonade did she sell last Thursday?

(over Chapter 1)

Page 25: Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Key Concepts: Rational Numbers Example 1:Write a Fraction as a