In a rational number of the form pq- the prime factorisation of q is of the form 2m-5n- where m and n are positive integers- The decimal expansion terminates after decimal places if m-n-

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Standard X

Mathematics

Fundamental Theorem of Arithmetic

In a rational...

Question

In a rational number of the form $\frac{p}{q}$ , the prime factorisation of $q$ is of the form $2^{m} \times 5^{n}$ , where $m$ and $n$ are positive integers. The decimal expansion terminates after ____ decimal places if $m > n$ .

m

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m - n

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Solution

The correct option is A $m$

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Question 13
Write the denominator of rational number $\frac{257}{5000}$ in the form $2^{m} \times 5^{n}$ , where m, n are non - negative integers. Hence, write its decimal expansion, without actual division.

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In a rational number of the form pq, the prime factorisation of q is of the form 2m×5n, where m and n are positive integers. The decimal expansion terminates after ____ decimal places if m>n.

The correct option is A m

In a rational number of the form $\frac{p}{q}$ , the prime factorisation of $q$ is of the form $2^{m} \times 5^{n}$ , where $m$ and $n$ are positive integers. The decimal expansion terminates after ____ decimal places if $m > n$ .

The correct option is A $m$