Teeqoz said:
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. |
Honestly, I still think the 1/3 method is the best and simplest way to prove it, don't bother searching for lots of different explanations, it's all on the Wiki page anyway ^^.
