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4.7 Goal: Fractions and Decimals

4.7 Goal: Fractions and Decimals. Terminating and Repeating Decimals

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4.7 Goal: Fractions and Decimals

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  1. 4.7 Goal: Fractions and Decimals • Terminating and Repeating Decimals When a long division problem results in a remainder of 0, the quotient is a terminating decimal. Sometimes, long division gives a repeating decimal, where one or more digits repeat without end. Repeating decimals can be written with a bar over the digit (s) that repeat. .444444…… = 0.4 One digit repeats. 3.0505…= 3.05 Two digits repeat.

  2. Example 1: Writing Fractions as a decimal • Write 7/20 and 3 5/8 as decimals

  3. Your Turn!! • Write the fraction or mixed number as a decimal • 3/10 3 4/5 • 17/200 2 7/8

  4. Example 2: Writing Fractions as Repeating Decimals • Write 5/3 and 13/33 as decimals

  5. Example 3: Writing decimals as fractions • Write 0.85 and 4.375 as a fraction or mixed number.

  6. Example 4: Ordering Numbers • Order these four states from greatest to least. • Alaska: 1/6 California: 17/200 • Montana: 1/25 Texas: 9/125

  7. Your Turn!! • Write the decimal as a fraction or mixed number in simplest form. • .04 1.0025 • 2.65 0.735

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