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## Warm Up

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**Preview**Warm Up California Standards Lesson Presentation**4**12 9 23 7 18 25 18 or 1 Warm Up Write each fraction in the simplest form. 1. 2. 3. 4. 18 46 1 3 21 63 1 3 100 72**California**Standards Preparation for NS1.1 Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Also covered: NS2.4**Vocabulary**terminating decimal repeating decimal**In baseball, a player’s batting average compares the**number of hits with the number of times the player has been at bat. Hits At Bats 172 544 544 172 ÷ 544 ≈ 0.316 172 172 601 172 601 172 ÷ 601 ≈ 0.286 To convert a fraction to a decimal, divide the numerator by the denominator.**1.00**Additional Example 1: Writing Fractions as Decimals Write each fraction as a decimal. Round to the nearest hundredth, if necessary. 9 5 5 3 1 4 B. C. A. 1 .8 1 .6 6 6 0.2 5 9.0 5 5.000 3 4 – 8 – 3 – 5 20 20 40 – 20 – 18 – 40 20 0 0 – 18 9 5 5 3 1 4 = 1.8 ≈ 1.67 = 0.25 20 – 18 2**3.00**Check It Out! Example 1 Write each fraction as a decimal. Round to the nearest hundredth, if necessary. 6 5 7 3 3 4 B. C. A. 1 .2 2 .3 3 3 0.7 5 6.0 5 7.000 3 4 – 2 8 – 6 – 5 20 10 10 – 20 – 9 – 10 10 0 0 – 9 6 5 7 3 3 4 = 1.2 ≈ 2.33 = 0.75 10 – 9 1**The decimals 0.75 and 1.2 are terminating decimals because**the decimals comes to an end. The decimal 0.333… is a repeating decimal because it includes a group of one or more digits (where all digits are not zero) that repeats forever. You can also write a repeating decimal with a bar over the repeating part. 0.333… = 0.3 0.8333… = 0.83 0.727272… = 0.72**8 10**74 100 Additional Example 2: Using Mental Math to Write Fractions as Decimals Write each fraction as a decimal. 4 5 A. Multiply to get a power of ten in the denominator. 4 5 2 2 = × = 0.8 37 50 B. Multiply to get a power of ten in the denominator. 37 50 2 2 = × = 0.74**6 10**72 100 Check It Out! Example 2 Write each fraction as a decimal. 3 5 A. Multiply to get a power of ten in the denominator. 3 5 2 2 = × = 0.6 18 25 B. Multiply to get a power of ten in the denominator. 18 25 4 4 = × = 0.72**You can also use place value to write a terminating decimal**as a fraction. Use the place value of the last digit to the right of the decimal point as the denominator of the fraction.**Reading Math**You read the decimal 0.018 as “eighteen thousandths.” Additional Example 3: Writing Decimals as Fractions Write each decimal as a fraction in simplest form. B. 1.55 A. 0.018 18 1,000 155 100 0.018 = 1.55 = 18 ÷ 2 1,000 ÷ 2 155 ÷ 5 100 ÷ 5 = = 31 20 11 20 9 500 or 1 = =**Check It Out! Example 3**Write each decimal as a fraction in simplest form. B. 1.30 A. 0.015 15 1,000 130 100 0.015 = 1.30 = 130 ÷ 10 100 ÷ 10 15 ÷ 5 1,000 ÷ 5 = = 3 200 3 10 13 10 = or 1 =**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. 0.3989… Divide the numerator by the denominator. His completion rate is 0.399.**Check It Out! Example 4**Johnny Unitas, a former professional quarterback, completed 2,830 of the 5,186 passes he attempted. Find his completion rate. Write your answer as a decimal rounded to the nearest thousandth. 0.5456… Divide the numerator by the denominator. His completion rate is 0.546.**Lesson Quiz**Write each fraction as a decimal. 1. 3. 4. Write each decimal as a fraction in simplest form. 5. 0.42 7. If your soccer team wins 21 out of 30 games, what is your team’s winning rate? 16 5 21 8 2.625 3.2 2. 7 10 11 20 0.55 0.7 5 8 69 8 21 50 6. 8.625 or 8 0.70