Do you mean the computable numbers? (there's an algorithm to compute them to arbitrary precision) The irrational numbers used outside of college math, like pi

Do you mean the computable numbers? (there's an algorithm to compute them to arbitrary precision) The irrational numbers used outside of college math, like pi or e or sqrt(2), are computable, though almost all are not. You can do a lot of productive math using just computable numbers since they form a real closed field [1]. I believe they're a little harder to work with though. [1] https://en.wikipedia.org/wiki/Real_closed_field https://en.wikipedia.org/wiki/Real_closed_field