Ok, this does not make sense....

[mechanicalbrain]

Originally Posted by Bcahn836

Maybe this would help. . .
Linky

Or.... if your too lazy to read through that (like me!)

3/9= .3333333.... so 3/9 + 3/9 + 3/9 = 9/9 and .3333333.... + .3333333.... + .3333333.... = .999999....

Isn't infinity wonderfull?

[Kevin Sevcik]

You'd need a more formal definition of floor before you can prove or disprove anything. The formal definition of floor is: floor(x) is equal to the largest integer less than or equal to x.

You've already proven that .999... = 1, so 1 is the largest integer less than or equal to .999... and everything works out. Confusion only comes when you use the informal definition of ignoring everything after the decimal point.

[coastertux]

x = 0.9999...
10x = 9.9999...
10x - x = 9.9999... - 0.9999...
9x = 9
x = 1