If a terminating decimal can be expressed in the form $\frac{p}{q}$ where p and q are co-prime integers and q ≠ 0, and q is of the form $2^{m} 5^{n}$ .where m and n are non-negative integers.

True

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False

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Solution

The correct option is A
True

If a terminating decimal can be expressed in the form $\frac{p}{q}$ where p and q are co-prime integers and q ≠ 0, and q is of the form \({2}^{m}{5}^{n}) .where m and n are non-negative integers.

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Similar questions

Let $x$ be a rational number whose simplest form is expressed as $\frac{p}{q}$ , where $p$ and $q$ are co-prime integers and $q \neq 0$ and also, $x$ is a terminating decimal, then $q$ can be expressed in the form of _____________ (where m and n are non-negative integers).

Q. Rational number

\frac{p}{q}, q \neq 0

will be terminating decimal if the prime factorisation of q is of the form (m and n are non negative integers) :

S1 : $\frac{1323}{1400}$ is a non terminating decimal.
S2 : A number $\frac{p}{q}$ where p and q are co-primes is terminating if q is of the form $2^{n} {.3}^{m}$ where n and m are non-negative integers.

Q. A rational number whose decimal expansion is non-terminating can be expressed in the form

\frac{p}{q}

, where

p

and

q

are coprime, and the prime factorisation of

q

is NOT of the form _____ , where

n

and

m

are non-negative integers.

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If a terminating decimal can be expressed in the form pq where p and q are co-prime integers and q ≠ 0, and q is of the form 2m5n .where m and n are non-negative integers.

The correct option is A True If a terminating decimal can be expressed in the form pq where p and q are co-prime integers and q ≠ 0, and q is of the form \({2}^{m}{5}^{n}) .where m and n are non-negative integers.

If a terminating decimal can be expressed in the form $\frac{p}{q}$ where p and q are co-prime integers and q ≠ 0, and q is of the form $2^{m} 5^{n}$ .where m and n are non-negative integers.

The correct option is A
True

If a terminating decimal can be expressed in the form $\frac{p}{q}$ where p and q are co-prime integers and q ≠ 0, and q is of the form \({2}^{m}{5}^{n}) .where m and n are non-negative integers.