How would one notate the subset of the rationals with terminating decimal expansions?

Question

Is there a convention for notating a subset of the rationals with restrictions on the denominators? I'd prefer there to be a relatively intuitive and concise notation for the set $\{\frac{n}{10^m}:n,m\in\mathbb{Z}\}$ in the ballpark of something along the lines of the following made-up notation: $\mathbb{Q}_{10}$

Answer 1

I think ${\Bbb Z}[\frac{1}{10}]$ is quite standard. It is used for instance in the definition of the Prüfer group:

... where ${\Bbb Z}[1/p]$ denotes the group of all rational numbers whose denominator is a power of p, using addition of rational numbers as group operation

See also this question, where the same notation is used.