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From left to right, pick the smallest possible digit every time. This will give you the smallest possible number.
Oh, what a happy little question! To find the smallest 6-digit number with no repeated digits, we start by using the digits 1-9 in ascending order. So, the smallest 6-digit number with no repeated digits is 123,456. Just imagine all the beautiful possibilities that number holds!
smallest=1234 greatest=4321
It is difficult to interpret exactly what you are trying to ask. If you allow your five digit number to have leading zeroes and do not allow negative numbers, then 00000 - 99999 = -99999 is the smallest number. If you do allow negative 5 digit numbers, then (-99999) - 99999 = -199998 is the smallest number.