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Problem of the Day

Problem of the Day. How many triangles are in the figure?. Representing Fractions as Decimals. Can you find a decimal that is equivalent to this fraction?. 1/4. 0.25. What decimal is equivalent to 1/8 ?. 0.125. Find a decimal equivalent to 1/3 ?. 0.33333333….

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Problem of the Day

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  1. Problem of the Day How many triangles are in the figure?

  2. Representing Fractions as Decimals

  3. Can you find a decimal that is equivalent to this fraction? 1/4 0.25

  4. What decimal is equivalent to 1/8? 0.125

  5. Find a decimal equivalent to 1/3? 0.33333333…

  6. Can you find a decimal that is equivalent to this fraction? 1/11 0.09090909…

  7. 1/4 and 1/8 have decimals that end. Decimals like these are called terminating decimals.

  8. 1/3 and 1/11 have decimals with groups of digits that repeat forever. Decimals like these are called repeating decimals.

  9. Problem 5.2 • Write each fraction as a decimal, and tell whether the decimal is terminating or repeating. If the decimal is repeating, tell which digits repeat. • 2/5 • 3/8 • 5/6 • 35/10 • 8/99

  10. Problem 5.2 Follow-Up • Find three fractions with the same decimal representation as the given fraction. • 2/5 • 5/6

  11. Find a fraction that is equivalent to the given terminating decimal. • 0.35 • 89.050

  12. Without using a calculator, write the fraction 4/33 as a decimal. Does the decimal terminate or repeat? What is the repeating part?

  13. Without dividing, do you think that you can predict whether a fraction has a repeating or terminating decimal representation?

  14. Ex. 1/8 = 125/1000 = 125/2x2x2x5x5x5=0.125 For a fraction to terminate, it must be possible to express it as an equivalent fraction with a denominator of a power of 10 (10, 100, 1000, etc) This will happen if the fraction has only 2s and 5s as factors of its denominator.

  15. ACE Problems 1-421-24

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