1  =  0.999999...

Proof:

Let
    x  =  0.999999...    <-----------------------|
                                                 |
  10x  =  9.999999...    Mult. both sides by 10  |
   -x  = -0.999999...    Subtract 1x from 10x    |
  -------------------                            |
   9x  =  9.000000...                            |
                                                 |
    x  =  1              Divide both sides by 9  |
                           to solve for x.       |
    Substituting for x above --------------------|

    1  =  0.999999...


Freaky!