Thread: 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?

Hello,

Yes it is

this is the entire question

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Originally Posted by natewalker205

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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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