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Standard X

Mathematics

Rational Numbers

A rational nu...

Question

A rational number (of form p/q) has a terminating decimal expansion if prime factorisation of q has only:

3 or 4 or both

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4 or 5 or both

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6 or 7 or both

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2 or 5 or both

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Solution

The correct option is D 2 or 5 or both
.

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Similar questions

Q. Assertion (A):

\frac{29}{9261}

will have a non-terminating, non-repeating decimal expansion.
Reason (R): Let

a = \frac{p}{q}

be a rational number such that

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are co-prime and the prime factorisation of

q

is of the form

2^{n} \times 5^{m}

, where

n

and

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are non-negative integers. Then

a

has a decimal expansion, which is non-terminating.

Q. Let

x = \frac{p}{q}

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

2^{m} 5^{n}

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

Q. 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

Q. If

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

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are non-negative integers. Then

x

has a decimal expansion which is terminating.

If the rational number $\frac{a}{b}$ has a terminating decimal expansion, what is the condition to be satisfied by $b$ ?

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A rational number (of form p/q) has a terminating decimal expansion if prime factorisation of q has only:

The correct option is D 2 or 5 or both .

The correct option is D 2 or 5 or both
.