Question

Look at several examples of rational numbers in the forms p/q (q not= to 0) where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions).can you guess what property q must satisfy?

Answer 1

Answer:

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Answer 2

$\sf \underline\red{Solution:}$

The decimal representation will be terminating, if the denominators have factors 2 or 5 or both.

Therefore, p/q is a terminating decimal, when prime factorization of q must have only powers of 2 or 5 or both.