Let $x = \frac{p}{q}$ be a rational number, such that the prime factorization of q is not of the form $2^{n} 5^{m}$ , where n, m are non-negative integers. Then, x has a decimal expansion which is ____________.

Non-terminating repeating (recurring)

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Terminating non-repeating

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Non-terminating non-repeating

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terminating

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Solution

The correct option is A
Non-terminating repeating (recurring)

Non-terminating repeating (recurring)

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Similar questions

Q. Let

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be a rational number, such that the prime factorisation of q is not of the form

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, where n, m are non-negative integers. Then, x has a decimal expansion which is:

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Let x=pq be a rational number, such that the prime factorization of q is not of the form 2n5m, where n, m are non-negative integers. Then, x has a decimal expansion which is ____________.

The correct option is A Non-terminating repeating (recurring) Non-terminating repeating (recurring)

Let $x = \frac{p}{q}$ be a rational number, such that the prime factorization of q is not of the form $2^{n} 5^{m}$ , where n, m are non-negative integers. Then, x has a decimal expansion which is ____________.

The correct option is A
Non-terminating repeating (recurring)

Non-terminating repeating (recurring)