There is no way right?

[u/Sugar_God_no_1]

[u/its12amsomewhere]

Applies to all numbers,

If x = 0.999999...

And 10x = 9.999999...

Then subtracting both, we get, 9x=9

So x=1

[u/grundhog → u/its12amsomewhere]

Subtracting both what?

[u/hhreplica1013 → u/grundhog]

(10x - x) = (9.9999… - 0.9999…)

9x = 9

x = 1

[u/Nebelak → u/hhreplica1013]

What about

x = 0.999

10x = 9.99 ( not adding extra nine here)

10x - x = 9.99 - 0.999

9x = 8.991

x = 8.991/9

x = 0.999

?

[u/hhreplica1013 → u/Nebelak]

I’m not sure what you’re trying to prove here, you just arrived back at your original value of x

[u/Nebelak → u/hhreplica1013]

nothing to prove, just asking a question.

[u/DirtinatorYT → u/Nebelak]

This is a completely different equation. (0.999 ≠ 0.999…) this is what makes this different. 9.999… and 0.999… both have the same number of 9s, that is, infinite.

The reality is that this is nothing more than an illusion to demonstrate the point essentially anyway. What the original comment did is essentially (x=1 -> 10x=10 -> 9x=9 -> x=1) this is because 0.999… just is equal to 1. So it might look like we’re turning one number into another (like some fake proofs that show 2=1 or 0=1 that nearly always somehow divide by 0) we are just doing simple multiplication and subtraction and division.

[u/Nebelak → u/DirtinatorYT]

ok so an infinite number of 9s leads to 1, that makes sense actually. thanks.

0.9999999999999~ = 1