Finite Decimal Representations
The decimal expansion of non-negative real number x will end in zeros (or in nines) if, and only if, x is a rational number whose denominator is of the form 2n5m, where m and n are non-negative integers.
Proof:
If the decimal expansion of x will end in zeros, or for some n, then the denominator of x is of the form 10n = 2n5n.
Conversely, if the denominator of x is of the form 2n5m, 
for some p. While x is of the form, for some n. By, x will end in zeros.
Read more about this topic: Decimal Representation
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