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Numbers that are Equal

Date: Sun, 20 Aug 95 13:40:00 -0500
Subject: True or false?

If X=1.999999999999...

and 10x=19.999999999999...

then   10x=19.999999999999...
      -  x= 1.999999999999...

and      x=18/9 or x=2

Therefore 2 = 1.999999999999...

True or false & Why?  

Ken Scrogan

Date: 808947454
From: Doctor Ken
Subject: Re: True or false?


This is true because, as you've just proven, 1 = 0.99999999999999999....  
It's something that a lot of people have trouble accepting, but it's true.
Here's another thing to think about: if 1 and 0.999999... weren't different
numbers, there would be some numbers in between the two of them.  It'll be
pretty hard for you to find any numbers in between 1 and 0.99999..., though.  

-Doctor Ken,  The Geometry Forum
Associated Topics:
Elementary Number Sense/About Numbers

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