A lovely post on Dirichlet’s approximation theorem, which allows you to approximate irrational number with rational numbers with small denominators with guarantees on how close the irrational number is the approximation.

https://www.quantamagazine.org/how-rational-math-catches-slippery-irrational-numbers-20200310/

#Mathematics #Numbers #RationalNumbers #IrrationalNumbers #NumericalApproximations