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Ncert exemplar solutions

CHAPTERS

A rational number in its decimal expansion is 327.7081. What can be concluded about the prime factors of q, when this number is expressed in the form p/q? Give reasons.

327.7081 is terminating decimal so in the form of

\frac{p}{q}=\frac{3277081}{10000} \\q=2^4\times 5^4

So, q has only factors of 2 and 5 so it is terminating decimal.

327.7081 is terminating decimal so in the form of

\frac{p}{q}=\frac{3277081}{10000} \\q=2^4\times 5^4

So, q has only factors of 2 and 5 so it is terminating decimal.

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