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Learning Target:Students will learn how to write fractions as decimals.
What does the fraction bar in a fraction mean?
What does the fraction bar in a fraction mean? Division
What part of the fraction goes in the house (dividend) and which part of the fraction goes outside the house (divisor)?
What part of the fraction goes in the house (dividend) and which part of the fraction goes outside the house (divisor)?Top number (numerator) goes inside the house and the bottom number (denominator) goes outside the house.
Do you think when we divide fractions we should leave our with remainders or as decimals?
Do you think when we divide fractions we should leave our with remainders or as decimals?Decimals
Write the fraction as a decimal.4/5¼3/8½
Write the fraction as a decimal.4/5 = 0.8¼ = 0.253/8 = 0.375½ = 0.5
What would be the only difference from writing a fraction as a decimal and a mixed number as a decimal?
What would be the only difference from writing a fraction as a decimal and a mixed number as a decimal? Putting the whole number in front of your decimal you found from the fractional part of the mixed number.
Write the mixed number as a fraction.5  2/53  5/8
Write the mixed number as a fraction.5  2/5 = 5.43  5/8 = 3.625
So far today every fraction that we turned into a decimal stopped within two or three numbers after the decimal point. When a decimal stops it is called a terminating decimal.
A decimal is called a repeating decimal when it has one or more nonzero number that repeats forever. Ex. 0.66666…. 0.60.0727272… 0.0720.4205205… 0.4205To show that a number repeats you can write a bar over the numbers that repeat.
Write the fraction or mixed number as a decimal.2/33  2/114  11/12
Write the fraction or mixed number as a fraction.2/3 = 0.63  2/11 = 3.184  11/12 = 4.916
Can you write fractions as decimals?

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Sec. 5.8

  • 1. Learning Target:Students will learn how to write fractions as decimals.
  • 2. What does the fraction bar in a fraction mean?
  • 3. What does the fraction bar in a fraction mean? Division
  • 4. What part of the fraction goes in the house (dividend) and which part of the fraction goes outside the house (divisor)?
  • 5. What part of the fraction goes in the house (dividend) and which part of the fraction goes outside the house (divisor)?Top number (numerator) goes inside the house and the bottom number (denominator) goes outside the house.
  • 6. Do you think when we divide fractions we should leave our with remainders or as decimals?
  • 7. Do you think when we divide fractions we should leave our with remainders or as decimals?Decimals
  • 8. Write the fraction as a decimal.4/5¼3/8½
  • 9. Write the fraction as a decimal.4/5 = 0.8¼ = 0.253/8 = 0.375½ = 0.5
  • 10. What would be the only difference from writing a fraction as a decimal and a mixed number as a decimal?
  • 11. What would be the only difference from writing a fraction as a decimal and a mixed number as a decimal? Putting the whole number in front of your decimal you found from the fractional part of the mixed number.
  • 12. Write the mixed number as a fraction.5 2/53 5/8
  • 13. Write the mixed number as a fraction.5 2/5 = 5.43 5/8 = 3.625
  • 14. So far today every fraction that we turned into a decimal stopped within two or three numbers after the decimal point. When a decimal stops it is called a terminating decimal.
  • 15. A decimal is called a repeating decimal when it has one or more nonzero number that repeats forever. Ex. 0.66666…. 0.60.0727272… 0.0720.4205205… 0.4205To show that a number repeats you can write a bar over the numbers that repeat.
  • 16. Write the fraction or mixed number as a decimal.2/33 2/114 11/12
  • 17. Write the fraction or mixed number as a fraction.2/3 = 0.63 2/11 = 3.184 11/12 = 4.916
  • 18. Can you write fractions as decimals?