The definition of congruency.

  • Thread starter johnnyICON
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  • #1
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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?
 
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  • #2
dextercioby
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Nope,it means that both 333 and 3 give the same remainder when divided by 10,naely 3.

Daniel.
 
  • #3
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That's all? :surprised: Nothing more? Well that makes things more simple then. I was thinking there was more to it. Thanks.
 

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