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

is recurring

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is non- terminating

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is terminating

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is non- terminating , non- recurring

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Solution

The correct option is C
is terminating

The Theorem states: Let x = p/q, be a rational number, such that the prime factorization of q is of the form 2ⁿ5^m, where n, m are non-negative integers. Then x has a decimal expansion which terminates

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Similar questions

Q. Let

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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 ____________.

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

The correct option is C is terminatingThe Theorem states: Let x = p/q, be a rational number, such that the prime factorization of q is of the form 2n5m, where n, m are non-negative integers. Then x has a decimal expansion which terminates

The correct option is C
is terminating

The Theorem states: Let x = p/q, be a rational number, such that the prime factorization of q is of the form 2ⁿ5^m, where n, m are non-negative integers. Then x has a decimal expansion which terminates