1 / 11

2-10

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

sarahlindsay
Download Presentation

2-10

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 2-10 Equivalent Fractions and Decimals Course 2 TERMINATING AND REPEATING DECIMALS

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

  3. 2-10 Equivalent Fractions and Decimals Course 2 Insert Lesson Title Here Vocabulary terminating decimal repeating decimal

  4. 2-10 Equivalent Fractions and Decimals 1.00 Course 2 Additional Example 1: Writing Fractions as Decimals To convert a fraction to a decimal, divide the numerator by the denominator. . 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

  5. 2-10 Equivalent Fractions and Decimals 3.00 Course 2 Insert Lesson Title Here 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

  6. 2-10 Equivalent Fractions and Decimals Course 2 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

  7. 2-10 Equivalent Fractions and Decimals Course 2 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 8 10 = x = 0.8 37 50 B. Multiply to get a power of ten in the denominator. 37 50 2 2 74 100 = x = 0.74

  8. 2-10 Equivalent Fractions and Decimals Course 2 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 6 10 = x = 0.6 18 25 B. Multiply to get a power of ten in the denominator. 18 25 4 4 72 100 = x = 0.72

  9. 2-10 Equivalent Fractions and Decimals Reading Math You read the decimal 0.018 as “eighteen thousandths.” Course 2 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 = =

  10. 2-10 Equivalent Fractions and Decimals Course 2 Insert Lesson Title Here 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 =

  11. 2-10 Equivalent Fractions and Decimals Course 2 Insert Lesson Title Here 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

More Related