Question

State whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

`129/(2^2xx5^7xx7^5)`

Answer 1

`129/(2^2xx5^7xx7^5)`

since the denomintaor is not of the form 2^m × 5ⁿ, and it also has 7 as its factor, the decimal expansion of `129/(2^2xx5^7xx7^5)` is non-terminating repeating.