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Forum URL: http://www.cut-the-knot.org/cgi-bin/dcforum/forumctk.cgi
Forum Name: College math
Topic ID: 92
Message ID: 2
#2, RE: .999...=1?
Posted by Have_Blue on Apr-10-02 at 06:59 AM
In response to message #0
Here's a proof that I like and is quite simple. Note 0.9_ means 0.999999999999...

Let N = 0.9_

10N = 9.9_

10N-N = 9

9N = 9

N = 1

Therefore, N = 0.999999... = 1 Q.E.D.