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Byju's Answer

Standard VIII

Mathematics

Numbers in General Form

Without actua...

Question

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

\frac{15}{1600}

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\frac{13}{3125}

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\frac{23}{2^{3} \times 5^{2}}

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\frac{17}{6}

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Solution

The correct options are
A $\frac{15}{1600}$
B $\frac{13}{3125}$
C $\frac{23}{2^{3} \times 5^{2}}$
D $\frac{17}{6}$

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Similar questions

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:

\frac{13}{3125}

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:
(i)

\frac{13}{3125}

(ii)

\frac{17}{8}

(iii)

\frac{64}{455}

(iv)

\frac{15}{1600}

(v)

\frac{29}{343}

(vi)

\frac{23}{2^{3} 5^{2}}

(vii)

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

(viii)

\frac{6}{15}

(ix)

\frac{35}{50}

(x)

\frac{77}{210}

Q. Without actually performing the long division, state whether the following rational numbers will have terminating decimal expansion or a non-terminating repeating decimal expansion. Also, find the numbers of places of decimals after which the decimal expansion terminates.

\frac{23}{2^{3} 5^{2}}

Q. Without actually performing the long division, state whether

\frac{15}{1600}

will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Question 1 (vi)
Without actually performing the long division, state whether $\frac{23}{2^{3} \times 5^{2}}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

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

The correct options are A 151600 B 133125 C 2323×52 D 176

The correct options are
A $\frac{15}{1600}$
B $\frac{13}{3125}$
C $\frac{23}{2^{3} \times 5^{2}}$
D $\frac{17}{6}$