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.:(
