Write whether the rational number $\frac{7}{75}$ will have a terminating decimal expansion of a nor-terminating repeating decimal expansion.

Open in App

Solution

$\frac{7}{75} = \frac{7}{3 \times 5^{2}}$
We have 3 in the denominator.
Hence this number has a nor-terminating
recurring decimal.

Suggest Corrections

Similar questions

Q. State whether

\frac{7}{75}

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

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:

Q. 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.

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

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

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

\frac{35}{50}

Join BYJU'S Learning Program

Write whether the rational number 775 will have a terminating decimal expansion of a nor-terminating repeating decimal expansion.

775=73×52We have 3 in the denominator.Hence this number has a nor-terminatingrecurring decimal.

Write whether the rational number $\frac{7}{75}$ will have a terminating decimal expansion of a nor-terminating repeating decimal expansion.

$\frac{7}{75} = \frac{7}{3 \times 5^{2}}$
We have 3 in the denominator.
Hence this number has a nor-terminating
recurring decimal.