The decimal expansion of rational number p - q is terminating if q is in the form 2 n - 5 m- My question is- if q is only in the form 2 n or 5 m then will it be a terminating rational number-

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Standard VIII

Mathematics

Factors of Algebraic Expressions and Factorisation

The decimal e...

Question

The decimal expansion of rational number $\frac{p}{q}$ is terminating if q is in the form $2^{n} \times 5^{m}$ . My question is, if q is only in the form $2^{n} o r 5^{m}$ then will it be a terminating rational number?

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Solution

Yes, if q is only in the form $2^{n}$ or $5^{m}$ then will it be a terminating rational number.

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The decimal expansion of rational number pq is terminating if q is in the form 2n×5m. My question is, if q is only in the form 2nor5m then will it be a terminating rational number?

Yes, if q is only in the form 2n or 5m then will it be a terminating rational number.

The decimal expansion of rational number $\frac{p}{q}$ is terminating if q is in the form $2^{n} \times 5^{m}$ . My question is, if q is only in the form $2^{n} o r 5^{m}$ then will it be a terminating rational number?

Yes, if q is only in the form $2^{n}$ or $5^{m}$ then will it be a terminating rational number.