Finding a RemainderDate: 09/21/2007 at 10:26:56 From: Athena Subject: how to calculate the remainder when the dividend is unknown When the even integer n is divided by 7, the remainder is 3. Then the question is what is the remainder when n is divided by 14? Is there a common method to get the answer when the dividend is unknown? Honestly, I totally have no idea how to solve this kind of question. Date: 09/21/2007 at 12:06:13 From: Doctor Ian Subject: Re: how to calculate the remainder when the dividend is unknown Hi Athena, Sometimes the place to start is with some concrete examples, just to help you see what's going on. What numbers, if divided by 7, leave a remainder of 3? 10, 17, 24, 31, 38, 45, 52, ... I just start with the first one (10), and count by 7. Now, we're only interested in the even ones, 10, 24, 38, 52, 66, ... so we can start from 10 and count by 14. Now, this is kind of interesting, because each of these numbers is 10 + 14*k for k = 1, 2, 3, ..., right? So if you divide by 14, what remainder will you get? - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ |
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