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Warm Up Lesson Presentation Lesson Quizzes

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**Warm Up Write each fraction in the simplest form. 1. 2. 3. 4. 4 12 1 3**

4 12 1 3 18 46 9 23 21 63 1 3 100 72 25 18 or 1 7

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Learn to write fractions as decimals, and vice versa, and to determine whether a decimal is terminating or repeating.

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Vocabulary terminating decimal repeating decimal

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In baseball, a player’s batting average compares the number of hits with the number of times the player has been at bat. The statistics on the next slide are for the 2006 Major League Baseball season.

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**Batting Average (thousandths)**

Player Hits At Bats Batting Average (thousandths) Miguel Cabrera Ichiro Suzuki Hits at Bats 195 576 195 576 195 ÷ 576 ≈ 0.339 224 695 224 695 224 ÷ 695 ≈ 0.322 To convert a fraction to a decimal, divide the numerator by the denominator.

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**Additional Example 1: Writing Fractions as Decimals**

Write each fraction as a decimal. Round to the nearest hundredth, if necessary. 1 4 9 5 5 3 A. B. C. 1 .8 1 .6 6 6 0.2 5 1.00 4 5 9.0 3 5.000 – 8 – 3 – 5 20 40 20 – 20 – 40 – 18 20 – 18 1 4 9 5 = 1.8 5 3 = 0.25 20 ≈ 1.67 – 18 2

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**You can use a calculator to check your division: 1 9 5 Helpful Hint**

33 Helpful Hint ÷ 4 = 0.25 1.8 3 1.66…

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Check It Out: Example 1 Write each fraction as a decimal. Round to the nearest hundredth, if necessary. 3 4 6 5 7 3 A. B. C. 1 .2 2 .3 3 3 0.7 5 3.00 4 5 6.0 3 7.000 – 2 8 – 6 – 5 20 10 10 – 20 – 10 – 9 10 – 9 3 4 6 5 = 1.2 7 3 = 0.75 10 ≈ 2.33 – 9 1

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The decimals 0.75 and 1.2 in Example 1 are terminating decimals because the decimals comes to an end. The decimal 0.333…is a repeating decimal because the decimal repeats a pattern forever. You can also write a repeating decimal with a bar over the repeating part. 0.333… = 0.3 0.8333… = 0.83 … = 0.72

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**Additional Example 4: Sports Application**

A football player completed 1,546 of the 3,875 passes he attempted. Find his completion rate. Write your answer as a decimal rounded to the nearest thousandth. Fraction What the Calculator Shows Completion Rate 1,546 3,875 1546 ÷ ENTER 3875 0.399 His completion rate is

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Lesson Quizzes Standard Lesson Quiz

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**Write each fraction as a decimal. 1. 3. 4. **

Lesson Quiz Write each fraction as a decimal. 1. Write each decimal as a fraction in simplest form. 7. If your soccer team wins 21 out of 30 games, what is your team’s winning rate? 16 5 21 8 3.2 2. 2.625 7 10 11 20 0.7 0.55 21 50 69 8 5 8 or 8 0.70

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