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| | Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-11-04) |
 | | I was wondering how I would prove this statement: For every prime number there exists a repeated unit number that is a multiple of that prime. |
 | | Because, believe it or not, today I did an activity with a 5th grade class that was based on your very question. |
 | | [This is the basis of repeating decimals, repetends, and all that.] Now when you are dividing a repeating unit number, like 111..., by a prime, like 7, eventually one of the remainders will be paired with a 1 that you "bring down" (in the elementary school algorithm). |
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