Quote (thefarmstudio @ Apr 27 2010 08:55pm)
Oh, you are so wrong. Now don't take it personally please

0.99999 does not equal 1
0.9(9) also does not equal 1
Proof: 0.9(9) means that the number 9 keeps repeating itself, right? Like 0.9999999999.... and so on. But no matter how many 9's there are, the number will never reach 1. Like if you keep dividing the same number by two, it will never ever ever reach 0, no matter how small the number becomes. Same is here - no matter how close the number 0.9999(9) is to 1, it will never equal one.
EDIT: Now, if you include
limitsto the whole picture things will start making more sense.
http://en.wikipedia.org/wiki/Limit_%28mathematics%29You're wrong.
And do you know why?
Because infinity is not a proper number.
For example, infinity + 999999 = infinity
infinity - 999999 still equals infinity.
Once something is infinite, the rules of the number change slightly.
For example, 0.999 X 10 = 9.99 and then if you take away 0.999 you get 8.991
Whereas, if you do 0.999 (infinitely recurring) X 10 you will get 9.9999 (infinitely recurring).
If you do 9.9999 (infinitely recurring) take away 0.9999 (infinitely recurring) then you will get 9, which divided by 9 = 1
The rules work slightly differently with an infinite number because you can add and subtract things from infinity and it will still be infinity, whilst if you add and subtract things from a real number then it will change the whole number.