Write whether the rational number frac-64-455- will have a terminating decimal expansion or a non-terminating repeating decimal expansion

Question

Toppr Admin · Accepted Answer

64455 can be written as below64455-645-xD7-7-xD7-13Clearly the denominator- 455 is not in the form of 2m-xD7-5n-So the decimal expansion of 64455 is non terminating repeating-

Write whether the rational number $\frac{64}{455}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion

$\frac{64}{455}$ can be written as below

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

Clearly the denominator, 455 is not in the form of $2^{m} \times 5^{n}$ .
So the decimal expansion of $\frac{64}{455}$ is non terminating repeating.

Write whether the rational number 64455 will have a terminating decimal expansion or a non-terminating repeating decimal expansion

64455 can be written as below64455=645×7×13Clearly the denominator, 455 is not in the form of 2m×5n.So the decimal expansion of 64455 is non terminating repeating.

Write whether the rational number $\frac{64}{455}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion

$\frac{64}{455}$ can be written as below

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

Clearly the denominator, 455 is not in the form of $2^{m} \times 5^{n}$ .
So the decimal expansion of $\frac{64}{455}$ is non terminating repeating.