Quote.99999...... is exactly 1. Let me prove it...
x = .999999999...
Multiply both sides by 10
10x = 9.999999999...
Because x = .99999999..., let's subtract it (x) from both sides
9x = 9
Divide both sides by 9
x = 1 = .999999...
this calculation was interesting to me, but it took me awhile to find out what's wrong with it.
when you get to the point where you say, "lets subtract x from both sides" the equation no longer is true, since x = 0.9999999999... and 9 times x is 8.99999999999999999999.......999991 and is NOT 9, therefore the equation is false since x is not equal to 1, but is 0.999999999....
btw, you cannot change what x is equal to, after you have given it a value.