The number 0.11111. . . .

Over the weekend we did a fun Family Math project about decimals in other bases:

https://mikesmathpage.wordpress.com/2014/04/05/fractions-and-decimals-in-binary/

As I was putting my younger son to bed last night he asked me about decimals in base 4.  I don’t know why – our previous conversation had been about how to play the golf game on the Wii – but something about the weekend talk had obviously stuck with him.

This morning we had some fun with a specific number – 0.111111….. (repeating forever).  What does this number equal in different bases?  It was a fun and unusual way to review decimals:

the Vi Hart video we reference at the end is here:

I love mornings like this!