Let x - 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 isA- terminatingB- Non-terminating repeating recurringC- Terminating non-repeatingD- Non-terminating non-repeating

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Standard X

Mathematics

Terminating and Non-Terminating Decimals

Let x = p / q...

Question

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

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. 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

n, m

are non-negative integers. Then

x

has a decimal expansion which is terminating.

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

p

and

q

are co-prime and the prime factorisation of

q

is of the form

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

, where

n

and

m

are non-negative integers. Then

a

has a decimal expansion, which is non-terminating.

Q. Question 3
Decimal representation of a rational number cannot be

A) Terminating
B) Non-terminating
C) Non-terminating repeating
D) Non-terminating non-repeating

Q. Question 3
Decimal representation of a rational number cannot be

A) Terminating
B) Non-terminating
C) Non-terminating repeating
D) Non-terminating non-repeating

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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)