Saturday, October 16, 2010

Two ways to proof of 0.999… = 1

Long Division

1/9 = 0.111...
9 x (1/9) = 9 x 0.111...
1 = 0.999...

Digit Manipulation

X = 0.999...
10X = 9.999...
10X - X = 9.999... - 0.999...
9X = 9
X = 1

Source : http://en.wikipedia.org/wiki/0.999...#Digit_manipulation

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