0.999....=1

[Teeqoz]

JRPGfan said:

fatslob-:O said:

You can't once you have an actual proof, at least not in your case so I guess some people will have to deal with such epiphany ...

Havnt proofs been proved wrong before? some where they where held as true for many many years?

Okay, so I think I figured out another way to explain it and make it a bit more understandable.

So, we start with 0.999... right? Then we add 0.111...

So we have this :

  0.999...

+0.111...

And that is equal to 1.111... (think of it as an infinitely repeating process, where you first add 0.9 and 0.1, then 0.09 and 0.01, 0.009+0.001, 0.0009+0.0001 etc.)

Then we subtract the samething we added, 0.111....

now, obviously, 1.111.... - 0.111... = 1 and since 0.999...+0.111=1.111... then 0.999... = 1

 

Can't be bothered to formulate this into a normally formulated proof, this is more as an additional explanation to make it easier to understand.