0.999999... = 1?

What the fuck. Why is that true. They got different numbers in them.

Right. I'm a maths student, I can whip out muh axioms and muh topology or prove it from the Dedekind cuts construction. It just seems that you're using circular reasoning by saying that 0.999... is 1 because it's rational and it's rational because 0.999... is 9/9 = 1. But then excuse me if I'm not following this thread closely lmao