Question

The decimal expansion of 13/625 will terminate after how many places of decimal?
 (a)   1

(b)   2

(c)   3

(d)   4

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Answer 1

It will terminate after 4 decimal digits as it can also be written as

$(13 \times {2}^{4}) \div (625 \times {2}^{4} )$

which will give 4 zeroes in denominator hence decimal expansion terminates after 4 digits.

as

$625 = {5}^{4}$

hope it helps.