Question

Question 1 (vii)
Without actually performing the long division, state whether $\frac{129}{2^2\times 5^7\times 7^5}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Answer 1

$\frac{129}{2^2\times 5^7\times 7^5}$
The denominator is not in the form of $2^m\times 5^n$.
Hence, the decimal expansion of $\frac{129}{2^2\times 5^7\times 7^5}$ is non-terminating.