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## Main Question or Discussion Point

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?

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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