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Math Help - Modular arithmetic

  1. #1
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    Smile Modular arithmetic

    Hi everyone!

    I am confused about modular arithmetic, even the basis of it.

    When it says that 3 ≡ 3 (mod 4), does that mean that 3 : 4 has a reminder of 3? Because 4 x 0 + 3 = 3?
    When it says that 3 ≡ 7 (mod 4), does that mean that 3 : 4 also kind of has a reminder of 7? How would that work?

    I am so sorry, I know these are trivial questions, I hope I am not wasting your time, I read through this chapter in my book two times now and I always get stuck at the basics.

    Thanks to anyone who reads this!
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  2. #2
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    Re: Modular arithmetic

    The ≡ indicates "equivalence." Therefore 3 and 7 are equivalent modulo 4 because both of them leave a remainder of 3 upon dividing by 4.
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