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Math Help - Remainder and Modulus

  1. #1
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    Remainder and Modulus

    We have to prove (a rem n) = a (mod n).

    Now I know a rem n is whatever the remainder is of a/n. And for mod its usually z = a (mod n) = n / (z-a). I'm just not sure how to prove the problem above. Any suggestions because I know this is probably easy, i'm just not getting it.
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  2. #2
    ddt
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    Quote Originally Posted by BlakeRobertsonMD View Post
    We have to prove (a rem n) = a (mod n).

    Now I know a rem n is whatever the remainder is of a/n. And for mod its usually z = a (mod n) = n / (z-a). I'm just not sure how to prove the problem above. Any suggestions because I know this is probably easy, i'm just not getting it.
    z = a (mod n) indeed means that n divides (z-a)

    Now how is the remainder defined? Write a = y * n + z where 0 <= z < n.
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  3. #3
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    So after writing out the defined remainder a = y*n + z

    Do I try to work it out so it equals y = n/ z-a? which would represent z = a (mod n) and prove (a rem n) = a (mod n)?

    You can't work out a = yn + z to equal y = n/ z-a.

    Is there something else that i'm missing? is the (a rem n) = a (mod n) = y ?
    Last edited by BlakeRobertsonMD; October 20th 2008 at 05:12 PM.
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