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Topic: If you claim 0.999... is a rational number, then you must find
p/q such that 0.999... = p/q. 12/26/2017

Replies: 40   Last Post: Jan 4, 2018 7:37 AM

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 Dan Christensen Posts: 8,219 Registered: 7/9/08
Re: If you claim 0.999... is a rational number, then you must find
p/q such that 0.999... = p/q. 12/26/2017

Posted: Dec 31, 2017 9:08 AM

On Tuesday, December 26, 2017 at 10:14:04 AM UTC-5, John Gabriel wrote:
> Any rational number can be represented in the form p/q with both p and q integers and of course q not 0. All, but one! That is, 0.999... cannot be represented as p/q, unless it is assumed from the beginning that 0.999... and 1 are the same.

Why can we not assume something that has been shown to be true? You are being silly. Of course, 1 is a rational number that can be represented as 1/1, 2/2, 3/3, etc.

Dan