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Unread 27-01-2010, 17:59
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jmanela jmanela is offline
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0.9 repeating = 1?

I was googling around today and i came across something rather odd. http://en.wikipedia.org/wiki/0.999.... Now, this wikipidia page claims that .99999 repeating = 1.

Here is a quick algebraic proof to support this,

Quote:
1/3 = 0.3~ \\common knowledge, let (~ stand for repeating)

(3)1/3 = 0.3~(3) \\multiply 3 to both sides

3/3 = 0.9~ \\evaluate above

1 = 0.9~ \\simplify and voila!
Now that is an algebraic point of view. I can't speak for calculus because i haven't taken that yet. What is your view on this topic?
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