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Math 7

Math 7. Converting Fractions to Decimals & Decimals to Fractions. Vocabulary. Terminating Decimal —A decimal whose digits end. Repeating Decimal —A decimal whose digits repeats in groups of one or more.

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Math 7

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  1. Math 7 Converting Fractions to Decimals & Decimals to Fractions

  2. Vocabulary • Terminating Decimal—A decimal whose digits end. • Repeating Decimal—A decimal whose digits repeats in groups of one or more. • Bar Notation—In repeating decimals, the line or bar placed over the digits that repeat. • 0.33333…= 0.3 • 0.121212…= 0.12 • 11.3858585…= 11.385

  3. Changing Fractions to Decimals • Divide the numerator by the denominator

  4. ¼ 5 ¾ 1/8 7 3/5 7/9 8 1/3 1/11 6 4/9 5/8 2/3 1 3/11 6 2/5 4 5/6 Write each fraction or mixed number as a decimal.

  5. There were 6 girls and 18 boys in Mrs. Johnson’s math class. Write the number of girls as a fraction of the number of boys. Then convert the fraction to a repeating decimal.

  6. In a neighborhood of 72 families, 18 families own one or more cats. Write the number of families who own one or more cats as a fraction. Then convert the fraction to a decimal.

  7. In Italy, about 74 of every 100 people use cellular telephones. Write the fraction of cellular phone users in Italy. Then write the fraction as a decimal.

  8. Converting Decimals to Fractions • Use the place value of the final digit as the denominator. • Be sure to simplify! • Example: .62 = 62 = 31 100 50 (I used 100 as the denominator because the final digit (2) is in the hundredths place.)

  9. 0.48 0.56 0.3 2.8 .72 4.6 Write each number as a fraction in simplest form.

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