0.(9) and 1

It is not truly accurate but all maths beyond arithmetic is glorified super accurate approximation so deal with it, faggot.

You behave like an animal.

For stating facts? Everyone knows that 0.999... has a 1/inf difference with 1. For what purpose would you ever require infinite precision? 10^-50 (insert any size unit really) is way smaller than any stupid fucking particle that the cern fags will ever find.

I see no point in talking to a person who does not understand that infinity is unattainable.

Sorry, but you are inadequate.

And we can not put there "=", because they will never be equal.

If we dig through Hyperreals, 1 is never equal to 0.9 or vice versa

I agree with that. By foregoing infinite autismal precision, 0.999... is equal to 1.
It isn't equal to 1 but for all practical and imaginable purposes it is.

In big boy math, what you call -> is literally just =

Wrong, it's exactly equal to 1
[math]0.\bar{9} = \lim_{n\to\infty} \sum_{i=1}^{n} \frac{9}{10^i} = 1[/math]

brainlet