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Re:A graphic illustration of 0.999…=1 by neodawn on Tuesday August 02, 2011 @12:40PM (#2837729)
This question was posed by my math teacher to the class during a lean time in class for fun during my engineering days. This was my answer.

x = 0.999999....... (1)

10x = 9.999999....... (2)

Perform (2) minus (1)

9x = 9

x = 1

When I wrote it on the board, I still remember the awe in my friend's faces. And all I was doing was using the standard method to convert a recurring decimal into a fraction. :)

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