I asked my teacher for an explanation and this is what he gave me...
Choose a number in any base that is two or more digits long.
Add all the digits together and keep adding until you have 1 single digit.
remember to add in the rules for the base you've chosen.
Eg: Base 10...
I'm going to email my prof. and make sure I copied the question down right. i'll re-post it as soon as I hear from him. Thanks for your interest in helping.
PROBLEM: For any number in any base at least 2 digits long, if you add them together and solve it the answer will ALWAYS be 1 number less than the base itself.
Why this problem works out?
Does it apply to anything?
What branch of Mathematics?
Prove in General sense or disprove.
HELP! :eek: