Question 6:
Look at several examples of rational numbers in the form p/q(q ≠ 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:
Terminating decimal expansion will occur when denominator q of rational number p/q is either of 2, 4, 5, 8, 10, and so on…
It can be observed that terminating decimal may be obtained in the situation where prime factorisation of the denominator of the given fractions has the power of 2 only or 5 only or both.
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