4) What is the one's digit of 826?
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This kind of problem relies on the fact that some numbers have repeating one's place digits when taken to increasing powers. Keep taking powers of 8 (2,3,4, ...) until you notice a pattern. Divide the power you want by the number of repeating digits. The remainder will be the number of the digit in the repeating sequence.
The one's digit for 826 = _____
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5) An alien species has 3 "fingers" on each "hand". They visit a school while on a friendship mission. The children discover the aliens also use the digits 0, 1, 2, 3, 4, and 5 and that they mean the same thing but they don't use the digits 6 - 9. When they multiply 4x5 they get 32. The teacher says they are right. What does the aliens' number 53 mean to us?
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This problem is talking about number systems.
- The number system the aliens use is the base-6 system.
- In this system, the units 'digit' is 60
= the number of ones = _____
- The second digit from the right is
the 61 digit which is the number of 6s = _____
- The number, in the decimal system, is _______
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