Associativity of binary operations

Discuss the commutativity and associativity of binary operation ** defined on ZZ by the rule a**b=|a|b for all a,binZZ .

Discuss the commutativity and associativity of binary operation * defined on Q by the rule a*b=a-b+a b for all a , b in Q

Discuss the commutativity and associativity of binary operation * defined on Q by the rule a*b=a-b+a b for all a , b in Q

Discuss the commutativity and associativity of binary operation * defined on Q by the rule a*b=a-b+a b for all a , b in Q

Discuss the commutativity and associativity of binary operation* defined on Q by the rule a*b=a-b+ab for all a,b in Q

Discuss the commutativity and associativity of binary operation .*. defined on A = Q - {1} by the rule a**b=a-b+ab for all a, b in A . Also, find the identity element of * in A and hence find the invertible elements of A.

Test for commutative and associative of a binary operation on Z^(+) defined by a b= a^(b) .

Discuss the commutativity and associativity of the binary operation * on R defined by a*b=(a b)/4 for all a ,b in R dot

Discuss the commutativity and associativity of the binary operation * on R defined by a*b=(ab)/(4) for all a,b in R