Date: Dec 27, 2012 7:28 AM
Author: Domenico Rosa
Subject: Re: A Point on Understanding

On 15 Dec 2012, Robert hansen wrote:

> One of his observations was that students will accept
> that 0.333... is 1/3 but have trouble accepting that
> 0.999... is 1.


I wonder if "accepting" this would be a problem if these students had been taught how to convert a repeating decimal into a fraction, as we were when I was in high school?

Let x=0.999...
then 10x=9.999...
then 9x=9
and x=1