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Real Numbers

Question 1:

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:



The denominator is of the form 5m.

Hence, the decimal expansion ofis terminating.


The denominator is of the form 2m.

Hence, the decimal expansion of is terminating.


455 = 5 × 7 × 13

Since the denominator is not in the form 2m × 5n, and it also contains 7 and 13 as its factors, its decimal expansion will be non-terminating repeating.


1600 = 26 × 5…

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