Without actually performing the long division, we can state that the following rational number will have a non terminating decimal expansion.
$\frac{129}{2^{2} 5^{7} 7^{5}}$

True

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False

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Solution

The correct option is A True
Yes, since denomenator of the given fraction is not of the form $2^{n} 2^{m}$ where $n$ , $m$ are non negative integers i.e it also contains $7^{5}$ .

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Similar questions

Q. Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non terminating repeating decimal expansion:

\frac{129}{2^{2} 5^{7} 7^{5}}

Q. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

129÷2²5⁷7⁵

Without actually performing the long division, we can state that the following rational number will havea non-terminating repeating decimal expansion:

\frac{77}{210}

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

Without actually performing the long division, we can state that the following rational number will have terminating decimal expansion.

\frac{35}{50}

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Without actually performing the long division, we can state that the following rational number will have a non terminating decimal expansion.129225775

The correct option is A TrueYes, since denomenator of the given fraction is not of the form 2n2m where n,m are non negative integers i.e it also contains 75.

Without actually performing the long division, we can state that the following rational number will have a non terminating decimal expansion.
$\frac{129}{2^{2} 5^{7} 7^{5}}$

The correct option is A True
Yes, since denomenator of the given fraction is not of the form $2^{n} 2^{m}$ where $n$ , $m$ are non negative integers i.e it also contains $7^{5}$ .