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4.4 Decimals and Fractions

4.4 Decimals and Fractions. I can convert between decimals and fractions . Review of Factors Write the day of the month as the product of two factors. Possible answer: 12th of the month, 6  2. Vocabulary. mixed number terminating decimal repeating decimal. 1. 1. 3. 1. 1. __. __.

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4.4 Decimals and Fractions

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  1. 4.4 Decimals and Fractions I can convert between decimals and fractions.

  2. Review of Factors Write the day of the month as the product of two factors. Possible answer: 12th of the month, 6  2

  3. Vocabulary mixed number terminating decimal repeating decimal

  4. 1 1 3 1 1 __ __ __ __ __ 1 1 1 2 2 4 2 4 4 2 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 A number that contains both a whole number greater than 0 and a fraction, such as 1 , is called a mixed number. 3 __ 4 Mixed numbers 12 34 14

  5. 67 ____ Remember! 100 Place Value Hundredths Thousandths Ones Tenths Additional Example 1A: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number. 0.67 0.67 Identify the place value of the digit farthest to the right. The 7 is in the hundredths place, so use 100 as the denominator.

  6. 9 ___ 10 Additional Example 1B: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number. 5.9 5.9 Identify the place value of the digit farthest to the right. 5 Write the whole number, 5. The 9 is in the tenths place, so use 10 as the denominator.

  7. 3 ____ 20 3 ____ 20 Additional Example 2A: Writing Fractions as Decimals Write each fraction or mixed number as a decimal. 0 .1 5 Divide 3 by 20. 20 3 .00 Add zeros after the decimal point. - 20 100 - 100 The remainder is 0. 0 = 0.15

  8. 1 __ 3 _ 1 __ 6.333… = 6.3 3 Additional Example 2B: Writing Fractions as Decimals Write each fraction or mixed number as a decimal. 6 0 .3 3 3 Divide 1 by 3. .000 3 1 Add zeros after the decimal point. - 9 10 The 3 repeats in the quotient. - 9 10 - 9 1 6 =

  9. Common Fractions and Equivalent Decimals 1 2 1 1 1 3 2 3 4 __ __ __ __ __ __ __ __ __ 5 3 4 3 2 4 5 5 5 0.2 0.25 0.3 0.4 0.5 0.6 0.6 0.75 0.8 A terminating decimal, such as 0.75, has a finite number of decimal places. A repeating decimal, such as 0.666…, has a block of one or more digits that repeat continuously

  10. 3 __ __ 10 4 7 3 __ __ 10 4 3 7 The numbers in order from least to greatest are , , and 0.8. 4 10 Additional Example 3: Comparing and Ordering Fractions and Decimals Order the fractions and decimals from least to greatest. 3 7 __ __ , 0.8, 10 4 7 First rewrite the fractions as decimals. = 0.75 = 0.7 Order the three decimals. 0 0.8 0.75 0.7

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