Some year ago I made a small discourse and investigated some representations for real number approximation, for example quotient between integers, satisfying this equation
$$ax - b = 0 \Leftrightarrow x = \frac b a \hspace{1cm} a,b\in \mathbb Z$$
or more general algebraic numbers satisfying
$$\sum_{k=0}^N c_k x^k = 0, \hspace{1cm}c_k\in \mathbb Z$$
Where for example all kinds of roots and other common irrational numbers then can be represented exactly (to whatever extent we allow to represent large enough integers). Today these are readily iteratively "calculable" by loads loads of numerical methods (turning them into for example floats or doubles if we would need that at some stage).
To my question, do there exist any standard or RFC or something similar for representations other than floating point standards for real numbers.