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After how many places of decimal, will the decimal expansion of the rational number \(\frac {57}{2^4 5^6}\) terminate?(a) 4(b) 6(c) 7(d) 8I got this question in an interview for internship.The doubt is from Irrational and Rational Numbers in chapter Real Numbers of Mathematics – Class 10

Answer»

The correct option is (b) 6

Easy explanation: We have,

\(\frac {57}{2^4 5^6} = \frac {57 \TIMES 2^2}{2^6 5^6} = \frac {228}{10^6}\) = 0.000228

The number \(\frac {57}{2^4 5^6}\) will TERMINATE after 6 decimal places.



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