Take a number written in base ten with three or more digits and subtract the units digit from the indicated expression. By what numbers can you be sure that the difference is divisible? Justify your answers.
a. The units digit
b. The number formed by the last two digits (that is, the, tens digit followed by the units digit).
c. The sum of the digits
d. Answer the preceding questions for a three- or more digit number written in base five.
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