Characterization of repeating and terminating decimals


Assignment:

Qa. Which fractions a/b have terminating decimals?

Qb. Which fractions a/b have repeating decimals?

Qc. Sometimes (for example 1/12 ) only part of the decimal repeats while in other cases (for example 1/7 ) the whole decimal repeats. Assuming a/b is a reduced fraction, how can you tell which of these two scenarios will occur? Explain.

Qd. Marcus says he computed and found

0.0588235294

Josie looks at this answer for a second or two and tells Marcus that he is mistaken. Josie did not calculate any of the numbers in this decimal. How might Josie have known Marcusâ?? calculation is incorrect?

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Mathematics: Characterization of repeating and terminating decimals
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