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Math Help - Operations 71.4

  1. #1
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    Operations 71.4

    In this problem let * represent the operation x*y = abs(x+y).

    a. Show that * is associative on N(natural numbers)
    b. Show that * is not associative on Z(intergers)
    c. Is * commutative on Z? Explain
    d. Is 0 the identity for * in Z?
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  2. #2
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    Quote Originally Posted by tigergirl View Post
    In this problem let * represent the operation x*y = abs(x+y).

    a. Show that * is associative on N(natural numbers)
    b. Show that * is not associative on Z(intergers)
    c. Is * commutative on Z? Explain
    d. Is 0 the identity for * in Z?
    Just take note that x*y=x+y for any non-negative numbers.

    Are these true?
    (-2*-1)*3=6~\&~-2*(-1*3)=0
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