0.9999 repeating is equal to 1 - and i can prove it
Your proof is wrong. 1/3 isn't exactly equal to 0.333 repeating. It's 1/3 ≈ 0.333 repeating. This is why we get 0.9999 repeating instead of 1.
0.9999999999....=x
9.9999999999....=10x
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9=9x
1=x
That's how i prove it
So you subtract 0.999999999 repeating. Ok but you are proving that 0.999999 repeating = 1. You can't use what you're proving in the proof.
I'll explain. He's trying to prove 0.999 repeating is equal to 1. When he subtracts that from both sides he can't say that 10 - 0.999 repeating is equal to 9 because that hasn't been proven yet.
So you subtract 0.999999999 repeating. Ok but you are proving that 0.999999 repeating = 1. You can't use what you're proving in the proof.
Well let me explain
Lets assume that 0.9999...=x
Then we multiply each side(i mean the 0.9999... and x) by ten
Then we got 9.9999...=10x
After that we subtract 9.9999...=10x and 0.9999...=x
Then we got 9=9x
Then divide 9 and 9x by nine
There we go, we got 1=x
Um your proof is not valid at all lol. 1/3 is approximately 0.33333 not equalt to 0.333333 knightking is right. :/