Without actually performing the long division- state whether 13-3125 has terminating decimal expansion or not-If true then enter 1 and if false then enter 0

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Standard VIII

Mathematics

Numbers in General Form

Without actua...

Question

Without actually performing the long division, state whether $\frac{13}{3125}$ has terminating decimal expansion or not.
If true then enter $1$ and if false then enter $0$

True

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False

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Solution

The correct option is A True
$\frac{13}{3125} = \frac{13}{2^{0} \times 5^{5}}$
This, shows that the prime factorisation of the denominator is of the form $2^{m} \times 5^{n}$
Hence, it has terminating decimal expansion

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Without actually performing the long division, state whether 133125 has terminating decimal expansion or not.If true then enter 1 and if false then enter 0

The correct option is A True133125=1320×55This, shows that the prime factorisation of the denominator is of the form 2m×5nHence, it has terminating decimal expansion

Without actually performing the long division, state whether $\frac{13}{3125}$ has terminating decimal expansion or not.
If true then enter $1$ and if false then enter $0$

The correct option is A True
$\frac{13}{3125} = \frac{13}{2^{0} \times 5^{5}}$
This, shows that the prime factorisation of the denominator is of the form $2^{m} \times 5^{n}$
Hence, it has terminating decimal expansion