0.9999.... = 1.0

[A_C_E]

Jay520 said:

AbbathTheGrim said:
But the difference between 0.9999... and 1 is .1 not 0. 

Nope, it's zero. 

1 - 0.9 = 0.1

1 - 0.99 = 0.01

1 - 0.9999 = 0.0001

But when you have infinite nines, you also have infinite zeros and never reach the 1. 

  1.0000000000000000........
- 0.9999999999999999.........
=0.0000000000000000........

At no point will you ever reach ....0001.

The infinite seems as though its governed by the rule that it will never be or would be forever therefore can't be another in this case the 0.999 can't be 1 because it will never reach there. Instead it just is. In physics, nothing is ever an exact. The study of entropy and all that jazz may or may not explain all this. Its all really just a confusing mess to me.