Without actually performing the long division, state whether the following rational number will have a terminating or a non-terminating repeating decimal expansion.
$\frac{64}{455}$

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Solution

$\frac{64}{455} = \frac{64}{5 \times 7 \times 13}$

Denominator is not of the form $2^{n} \times 5^{m}$ .
Hence, $\frac{64}{455}$ has non-terminating repeating decimal expansion.

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Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating decimal expansion : $\frac{64}{455}$ [1 MARK]

Q. Question 1 (iii)
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{64}{455}

Question 1 (iii)
Without actually performing the long division, state whether $\frac{64}{455}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Q. Without actually performing the long division, state whether the following rational number 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{64}{455}

Question 1 (iii)
Without actually performing the long division, state whether $\frac{64}{455}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

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Without actually performing the long division, state whether the following rational number will have a terminating or a non-terminating repeating decimal expansion.64455

64455=645×7×13Denominator is not of the form 2n×5m.Hence, 64455 has non-terminating repeating decimal expansion.

Without actually performing the long division, state whether the following rational number will have a terminating or a non-terminating repeating decimal expansion.
$\frac{64}{455}$

$\frac{64}{455} = \frac{64}{5 \times 7 \times 13}$

Denominator is not of the form $2^{n} \times 5^{m}$ .
Hence, $\frac{64}{455}$ has non-terminating repeating decimal expansion.