While working on this problem tonight, I decided to share these patterns of decimal expansions. A couple of these I had never paid attention to before. Can you see the interesting patterns? The second set of thirds, sixths and twelfths may be more difficult and may require pencil and paper.
Of course, both images will open full size in a new window if you click them.
You have a great blog!
ReplyDeleteThe list of the sevenths is interesting (but hard): it has the maximum length of the repeating period (6 in this case)
Nice job!
ReplyDeleteI'm interested to see how far you go with the problem at my blog as I've only solved part of it myself.
p.s. I'm really enjoying your blog. I've just added you to my blog roll (http://wildaboutmath.com)
ReplyDeleteI missed this. This is my usual activity for introducing rational (and irrational!) numbers, though I push a bit further (older kids). I think there are neat combination patterns at, for example, the 21sts with the double cycle, and the 22nds with implied sums..
ReplyDeleteThis year I think I will try Sol's, instead.
I wish I had time for both. Fractions are intimidating, but give kids some control, and they do much better. It just takes time.