Write the composition table for the binary operation ×5 (multiplication modulo 5) on the set S = {0, 1, 2, 3, 4}.

From the definition of multiplication modulo

a*b = (m is the base of the modulo)


Here the base is 5 and the set is S = {0,1,2,3,4}


As the multiplication of 0 with any number will yield zero so we don’t consider it in the composition table.


So, we can make a composition table as :-



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