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- Sat Oct 04, 2008 3:13 am UTC
- Forum: Mathematics
- Topic: University Calculus Bonus Problem
- Replies: 16
- Views: 1946
Assuming that Alice and Bob each get the piece the other didn't pick, I'd say the maximum cake Alice can get is 1.9999, as she cuts an infinitesimal slice off of each cake and Bob, not wanting any cake to begin with, takes the 0.0000001 slice of cake.
I was wondering to myself the other day, "How come if you add up all the digits in a (base 10) number, you can tell if it's divisible by 3 or 9?" So I did some thinking about it and came up with these: Simple divisibility rules for a whole number x in base n. (n being a positive integer): ...