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Math Help - Proof somewhat

  1. #1
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    Proof somewhat

    Write the multiplication table for equivalence classes modulo 6. Be sure that all of your final products are written in the form [m] with 0 is less than or equal to m and m is less than 6.



    Is multiplication of equivalence classes modulo 6 associative? Is it commutative?
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  2. #2
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    Hello,

    Yes it is
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  3. #3
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    actually

    this is the entire question

    """
    Quote Originally Posted by natewalker205 View Post
    Write the multiplication table for equivalence classes modulo 6. Be sure that all of your final products are written in the form [m] with 0 is less than or equal to m and m is less than 6.Is multiplication of equivalence classes modulo 6 associative? Is it commutative?
    """"
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  4. #4
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    Well, just make lines with classes 0 to 5 (mod 6), then make columns with the same. In each cell, write the product, simplified to classes mod 6.

    For example : 4*5 = 20 = 2 mod 6
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