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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 Lesson Menu

Express rational numbers as decimals and decimals as fractions. terminating decimal repeating decimal bar notation Main Idea/Vocabulary

KC 1

Write a Fraction as a Decimal Write as a decimal. .1 8 7 5 Divide 3 by 16. –16 14 –128 12 –112 8 –80 Answer: 0.1875 Example 1

A. 0.0515 B. 0.0625 C. 0.0875 D. 0.16 A B C D Example 1

Write a Repeating Decimal You can divide as shown in Example 1 or use a calculator. –35 11 –3.18181818 ENTER ÷ Answer: Example 2

A. 5.1 B. 5.15 C. 5.2 D. 5.9 A B C D Example 2

Round a Repeating Decimal 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. 8 15 0.5333333333 ENTER ÷ Look at the digit to the right of the thousandths place. Round down since 3 < 5. Example 3

Round a Repeating Decimal Answer: The fraction of fruit trees that did not produce fruit was 0.533. Example 3

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. A. 0.094 B. 0.148 C. 0.182 D. 0.252 A B C D Example 3

Write a Decimal as a Fraction Write 0.32 as a fraction. 0.32 is 32 hundredths. Simplify. Answer: Example 4

Write 0.16 as a fraction. A. B. C. D. A B C D Example 4

Write a Decimal as a Fraction ALGEBRA Write 2.7 as a mixed number. Let N = 2.7 or 2.777... . Then 10N = 27.777... . Multiply N by 10 because 1 digit repeats. Subtract N = 2.777... to eliminate the repeating part, 0.777... . Example 5

Write a Decimal as a Fraction 10N = 27.777... –1N = 2.777... 9N = 25 10N – 1N = 9N Divide each side by 9. Simplify. Answer: Example 5

ALGEBRA Write 1.7 as a mixed number. C. D. A B C D Example 5

End of the Lesson End of the Lesson

Five-Minute Check (over Chapter 1) Image Bank Math Tools Multiplying Fractions Multiplying and Dividing Fractions Resources

Evaluate 8 + (20 – 3)(2). A. 22 B. 25 C. 42 D. 50 (over Chapter 1) A B Five Minute Check 1

Evaluate 16 + (–9). A. 25 B. 7 C. –7 D. –25 (over Chapter 1) A B C D Five Minute Check 2

Evaluate –7 – 10. A. 17 B. 3 C. –3 D. –17 (over Chapter 1) A B C D Five Minute Check 3

(over Chapter 1) A. 90 B. 19 C. –19 D. –90 A B C D Five Minute Check 4

Solve the equation Then check your solution. (over Chapter 1) Solve the equation Then check your solution. A. 40 B. 10 C. –10 D. –40 A B C D Five Minute Check 5

(over Chapter 1) 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? A. 344 B. 2,150 C. 340 D. 443 A B C D Five Minute Check 6

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