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Example 1 Writing Fractions as Decimals Write the fraction as a decimal. a . Repeating decimal 4 4 44 50 55 60 5.0000. . . 0.4545. . . 11 55 60 ANSWER 0.4545. . . = 11 5 =0.45 11 5

Example 1 Writing Fractions as Decimals Write the fraction as a decimal. a. Repeating decimal 4 44 50 55 60 5.0000... 0.4545... 11 55 60 ANSWER 0.4545

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  • Slide 1
  • Example 1 Writing Fractions as Decimals Write the fraction as a decimal. a. Repeating decimal 4 44 50 55 60 5.0000... 0.4545... 11 55 60 ANSWER 0.4545... = 11 5 = 0.45 11 5
  • Slide 2
  • Example 1 Writing Fractions as Decimals Write the fraction as a decimal. b. ANSWER 0.35 = 20 7 Terminating decimal 0 1 00 6 0 0.35 7.0020 7
  • Slide 3
  • Example 2 The table lists the mean lengths of four species of finches. Write the lengths as decimals. Writing Mixed Numbers as Decimals BIOLOGY SOLUTION Write each mixed number as the sum of a whole number and a fraction. Then convert the fraction to a decimal and add it to the whole number. Finch species Length inches () House finch Indigo bunting Lazuli bunting Purple finch 8 5 5 2 1 5 4 3 5 16 7 5
  • Slide 4
  • Example 2 Writing Mixed Numbers as Decimals 8 5 5 = 8 5 5+5=+0.625=5.625 2 1 5 = 2 1 5+5=+0.5=5.5 16 7 5 =5+5=+0.4375=5.4375 16 7 4 3 5 = 4 3 5+5=+0.75=5.75 ANSWER In decimal form, the lengths are 5.625 inches, 5.5 inches, 5.4375 inches, and 5.75 inches.
  • Slide 5
  • Example 3 Writing Terminating Decimals as Fractions Write the decimal as a fraction or mixed number in simplest form. a. 0.4 5 2 = Simplify. 10 4 = 4 is in the tenths place.
  • Slide 6
  • Example 3 Writing Terminating Decimals as Fractions Write the decimal as a fraction or mixed number in simplest form. b. 1.905 = 905 1000 1 181 200 = 181 200 1 Simplify. 5 is in the thousandths place. = 905 1000 1
  • Slide 7
  • Guided Practice Write the fraction or mixed number as a decimal. for Examples 1, 2, and 3 25 8 1. 2. 6 1 5 2 4 3. 4. 3 1 5 ANSWER 0.32 ANSWER 60.1 ANSWER 4.4 ANSWER 35.
  • Slide 8
  • Guided Practice for Examples 1, 2, and 3 Write 0.62 as a fraction. 5. Write the decimal as a fraction or mixed number in simplest form. ANSWER 2 20 9 6. Write 2.45 as a mixed number. ANSWER 50 31