Game #1 Try this: A. Pick any 4 digit number with at least 2 digits that are different. This is your starting number. B. Arrange the digits of the number from highest to lowest, to get a new number. C. Arrange the digits of the original number from lowest to highest, to get a new number. Leading zeros are allowed. D. Subtract the number you obtained in step C from the number you obtained in step B to get a new number. This is your new starting number. Repeat steps 2, 3 and 4 for a while and post about what you notice. Try starting with a different 4 digit number and see what happens. ==== Example of the process. A. I choose to start with the number 1049. B. Arrange digits from highest to lowest to get 9410. C. Arrange digits from lowest to highest to get 0149. D. 9410 - 0149 = 9261. Now repeat the process with 9261... B. Arrange digits from highest to lowest to get 9621. C. etc. ==== By the way, the instruction in A that at least two digits should be different is to avoid the following kind of boredom: A. Start with 7777. B. Arrange to get 7777. C. Arrange to get 7777. D. 7777-7777=0000. From now on you just get 0000 all the time.