2 10 Equivalent Fractions and Decimals TERMINATING AND

2 -10 Equivalent Fractions and Decimals TERMINATING AND REPEATING DECIMALS Course 2

2 -10 Equivalent Fractions and Decimals Learn to write fractions as decimals, and vice versa, and to determine whether a decimal is terminating or repeating. Course 2

2 -10 Equivalent Fractions Decimals Insert Lesson Titleand Here Vocabulary terminating decimal repeating decimal Course 2

2 -10 Equivalent Fractions and Decimals Additional Example 1: Writing Fractions as Decimals To convert a fraction to a decimal, divide the numerator by the denominator. . A. 1 4 0. 2 5 4 1. 00 – 8 20 – 20 0 1 = 0. 25 4 Course 2 B. 9 5 1. 8 5 9. 0 – 5 40 – 40 0 9 = 1. 8 5 C. 5 3 1. 6 6 6 3 5. 000 – 3 20 – 18 5 20 3 ≈ 1. 67 – 18 2

2 -10 Equivalent Fractions Decimals Insert Lesson Titleand Here Check It Out: Example 1 Write each fraction as a decimal. Round to the nearest hundredth, if necessary. A. 3 4 0. 7 5 4 3. 00 – 28 20 – 20 0 3 = 0. 75 4 Course 2 B. 6 5 1. 2 5 6. 0 – 5 10 – 10 0 6 = 1. 2 5 C. 7 3 2. 3 3 7. 000 – 6 10 – 9 7 10 3 ≈ 2. 33 – 9 1

2 -10 Equivalent Fractions and Decimals The decimals 0. 25 and 1. 8 in Example 1 are terminating decimals because the decimals comes to an end. The decimal 2. 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 Course 2

2 -10 Equivalent Fractions and Decimals Additional Example 2: Using Mental Math to Write Fractions as Decimals Write each fraction as a decimal. 4 A. 5 4 x 2 = 8 5 2 10 37 B. 50 = 0. 8 37 x 2 = 74 50 2 100 = 0. 74 Course 2 Multiply to get a power of ten in the denominator.

2 -10 Equivalent Fractions and Decimals Check It Out: Example 2 Write each fraction as a decimal. 3 A. 5 3 x 2 = 6 5 2 10 18 B. 25 = 0. 6 18 x 4 = 72 25 4 100 = 0. 72 Course 2 Multiply to get a power of ten in the denominator.

2 -10 Equivalent Fractions and Decimals Additional Example 3: Writing Decimals as Fractions Write each decimal as a fraction in simplest form. A. 0. 018 18 1, 000 18 ÷ 2 = 1, 000 ÷ 2 9 = 500 0. 018 = B. 1. 55 = 100 = 155 ÷ 5 100 ÷ 5 31 or 1 11 = 20 20 Reading Math You read the decimal 0. 018 as “eighteen thousandths. ” Course 2

2 -10 Equivalent Fractions Decimals Insert Lesson Titleand Here Check It Out: Example 3 Write each decimal as a fraction in simplest form. A. 0. 015 = 15 1, 000 Course 2 B. 1. 30 = 100 = 15 ÷ 5 1, 000 ÷ 5 = 130 ÷ 10 100 ÷ 10 = 3 200 3 13 or 1 = 10 10

2 -10 Equivalent Fractions Decimals Insert Lesson Titleand Here Lesson Quiz Write each fraction as a decimal. 1. 3. 16 5 7 10 3. 2 2. 0. 7 4. 21 8 11 20 2. 625 0. 55 Write each decimal as a fraction in simplest form. 69 or 8 5 21 6. 8. 625 5. 0. 42 8 50 8 7. If your soccer team wins 21 out of 30 games, what is your team’s winning rate? 0. 70 Course 2