Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

Warm Up Write each fraction in the simplest form. 1. 2. 3. 4. 4 12 1 3 1. 2. 3. 4. 4 12 1 3 18 46 9 23 21 63 1 3 100 72 25 18 or 1 7

Problem of the Day Martin recorded how much a bean plant grew each week. The first week the plant grew of an inch, of an inch the second week, and of an inch the third week. During which week did the plant grow the least? 4 7 7 8 7 9 week 1

Sunshine State Standards MA.7.A.5.1 Express rational numbers as terminating or repeating decimals.

Vocabulary rational number 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. The statistics below are for the 2006 Major League Baseball season.

A rational number is a number that can be written as a fraction with an integer for its numerator and a nonzero integer for its denominator. To write a rational number as a decimal, divide the numerator by the denominator.

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

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…

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

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 0.727272… = 0.72

Write each fraction as a decimal. 9 25 A. 0. 3 6 25 9.00 Additional Example 2A: Write Fractions as Terminating and Repeating Decimals Write each fraction as a decimal. 9 25 A. 0. 3 6 ______ ) 25 9.00 –75 The remainder is 0. 150 –150 This is a terminating decimal. 9 25 = 0.36

Write each fraction as a decimal. 17 18 B. 0. 9 4 18 17.00 Additional Example 2B: Write Fractions as Terminating and Repeating Decimals Write each fraction as a decimal. 17 18 B. 0. 9 4 ______ ) 18 17.00 –162 The pattern repeats. 80 – 72 This is a repeating decimal. 8 = 0.94 17 18

Write each fraction as a decimal. Check It Out: Example 2 Write each fraction as a decimal. 8 25 A. 0. 3 2 ______ ) 25 8.00 – 75 The remainder is 0. 50 – 50 This is a terminating decimal. 8 25 = 0.32

Additional Example 3: Writing Decimals as Fractions Write each decimal as a fraction in simplest form. A. 0.018 B. 1.55 18 1,000 155 100 0.018 = 1.55 = 18 ÷ 2 1,000 ÷ 2 155 ÷ 5 100 ÷ 5 = = 9 500 31 20 11 20 or 1 = = You read the decimal 0.018 as “eighteen thousandths.” Reading Math

Check It Out: Example 3 Write each decimal as a fraction in simplest form. A. 0.015 B. 1.30 15 1,000 130 100 0.015 = 1.30 = 15 ÷ 5 1,000 ÷ 5 130 ÷ 10 100 ÷ 10 = = 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. Fraction What the Calculator Shows Completion Rate 1,546 3,875 1546 ÷ ENTER 3875 0.398967742 0.399 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. Fraction What the Calculator Shows Completion Rate 2,830 5,186 2830 ÷ ENTER 5186 0.54569996 0.546 His completion rate is 0.546.

Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

Write each fraction as a decimal. 1. 3. 4. 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 3.2 2. 2.625 7 10 11 20 0.7 0.55 21 50 69 8 5 8 6. 8.625 or 8 0.70

Lesson Quiz for Student Response Systems 1. Which of the following represents the fraction as a decimal? A. 3.4 B. 3.5 C. 3.6 D. 3.7 18 5

Lesson Quiz for Student Response Systems 2. Which of the following represents the fraction as a decimal? A. 0.65 B. 0.75 C. 0.85 D. 0.95 13 20

Lesson Quiz for Student Response Systems 3. Which of the following represents the decimal 0.32 as a fraction in simplest form? A. C. B. D. 8 25 6 25 7 25 1 5

Lesson Quiz for Student Response Systems 4. Which of the following represents the decimal 6.125 as a fraction in simplest form? A. or 8 C. or 6 B. or 6 D. or 6 49 6 1 6 37 6 1 6 49 8 1 8 31 5 1 5

Lesson Quiz for Student Response Systems 5. If Rita scores 34 out of 50 in a class test, what is Rita’s score as a decimal? A. 0.65 B. 0.66 C. 0.67 D. 0.68