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The definition of congruency.

  1. May 24, 2005 #1
    I'm having a bit of trouble understanding what it means for one number to be congruent to another. I have this more technical definition but I was wondering if anyone could put it into more simple terms.

    What I really want to know is that if say 333 is congruent to 3 mod 10, does that mean that 333 is equivalent to 3 mod 10? Can I replace 333 by just 3?

    I am looking a lot of examples in my notes and I see numbers being replaced by their congruencies, is that allowed?
    Last edited: May 24, 2005
  2. jcsd
  3. May 24, 2005 #2


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    Nope,it means that both 333 and 3 give the same remainder when divided by 10,naely 3.

  4. May 24, 2005 #3
    That's all? :surprised: Nothing more? Well that makes things more simple then. I was thinking there was more to it. Thanks.
  5. May 24, 2005 #4
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