Question

without actually performing the long division method state whether the following rational number will have a terminating decimal expansion or a non terminating reapeting decimal expansion of ​

Answer 1

$\sf \: Any \: \: number \: \: in \: \: the \: \: form \: \: of \: \: \frac{p}{q} \\ \sf \: will \: \: have \: \: a \: \: terminating \: \: decimal \\ \sf expansion \: \: only \: \: when \: \: the \: \: denominator \\ \sf i.e. \: q \: \: \: is \: \: in \: \: the \: \: form \: \: {2}^{n} . {5}^{m} \: .$

Therefore, The following answer is the desired one for your question.

1. Terminating decimal expansion
2. Non-Terminating decimal expansion
3. Terminating decimal expansion
4. Non-Terminating decimal expansion
5. Non-Terminating decimal expansion
6. Terminating decimal expansion
7. Terminating decimal expansion
8. Terminating decimal expansion
9. Terminating decimal expansion

Answer 2

Answer:

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