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Math Help - Modulo exercice

  1. #1
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    Modulo exercice

    Hey again !


    I know it is pretty simple but i dont seem to prove it.
    If a=bmodk and c=dmodk then why a-c=(b-d)modk
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  2. #2
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    Crna Gora
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    Re: Modulo exercice

    Quote Originally Posted by grainofsand View Post
    Hey again !


    I know it is pretty simple but i dont seem to prove it.
    If a=bmodk and c=dmodk then why a-c=(b-d)modk
    a=k \cdot n +b \land c = k \cdot m+d \Rightarrow a-c = k \cdot(n-m)+(b-d) \Rightarrow

    \Rightarrow a-c \equiv b-d \pmod k
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  3. #3
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    Re: Modulo exercice

    thank you so much !
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