Date: Dec 27, 2012 11:11 AM
Author: Robert Hansen
Subject: Re: A Point on Understanding


On Dec 27, 2012, at 7:28 AM, Domenico Rosa <DRosa@post.edu> wrote:

> 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



Wow, it's been so long since I did that. I don't think these students will be doing something like this today. You can't do this with a picture.:(

Bob Hansen