Spawn of God said:

yea ive seen lots of equations like that...urs isnt to good i think it actually goes something like this.

X=.9 repeating

(multiply both sides by ten)

10X=9.9 repeating

(subtract X from both sides)

9X=9

(divide both sides by 9)

X=1

of course, there is alot of rounding in step 2 and 3 of this equation, not to mention the entire thing is done assuming that .99 repeating equals 1 (which isnt true)

Assuming that "0.99999...." did have an end, then the last digit is being rounded.

Let X=0.9 repeating, made up of infinite number of digits, which I will call Y.

If X was written out, then it would have Y digits.

Multiplying X by 10 increases the number of digits by 1, or Y+1, because you have to add a 0 at the end.

Y-(Y+1) does not equal 0, therefore the last digit is being rounded and 9X cannot equal 9.

So 0.9 repeating is just approaching the limit of 1, but is not equal to 1. It's just an irrational number that cannot be fully written out, just like Pi. Sure you can calculate Pi to millions of digits, but there is no end. Same with Euler's number e.

Ever heard of a Mobius strip? Take a strip of paper, twist it halfway and tape the ends together. It only has 1 side that repeats but never ends :lol: