Form 8: Prime Factorization of Denominators and Decimal Types Exercise

Form 8: Prime Factorization of Denominators and Decimal Types

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Form 8: Prime Factorization of Denominators and Decimal Types

Analyze the prime factorization of a denominator to identify if a fraction becomes a terminating or repeating decimal.

Questions

  1. MultiChoice

    A simplified fraction has a denominator with prime factors of 2 and 5 only. What type of decimal does it form?

  2. MultiChoice

    A simplified fraction has a denominator with prime factors 3 and 5. What type of decimal does it form?

  3. MultiChoice

    Why does 3/20 convert to a terminating decimal?

  4. MultiChoice

    Why does 5/18 convert to a repeating decimal?

  5. MultiChoice

    Which of the following denominators will yield a terminating decimal?

  6. MultiChoice

    Which of the following denominators will yield a repeating decimal?

  7. MultiChoice

    The denominator of 9/40 is 40. Prime factorization of 40 is 2 x 2 x 2 x 5. Is 9/40 terminating or repeating?

  8. MultiChoice

    The denominator of 7/30 is 30. Prime factorization of 30 is 2 x 3 x 5. Is 7/30 terminating or repeating?

  9. MultiChoice

    Which denominator in simplest form guarantees a repeating decimal?

  10. MultiChoice

    Which prime factor causes a fraction (in simplest form) to become a repeating decimal?

  11. MultiChoice

    The fraction 21/30 simplifies to 7/10. Is its decimal form terminating or repeating?

  12. MultiChoice

    The fraction 6/15 simplifies to 2/5. Is its decimal form terminating or repeating?