(1) Closure (2) Commutativity (3) Associativity

Commutative and associative

An operation * is defined on the set Z of non- zero integers by a*b=(a)/(b) for all a,b in Z . Then the property satisfied is (a) closure (b) commutative (c) associative (d) none of these

Check the commutativity and associativity of * on Q defined by a*b=a-b for all a,b in Q

Check the commutativity and associativity of * on Q defined by a*b=a+ab for all a,b in Q.

Check the commutativity and associativity of * on Z defined by a*b=a-b for all a,b in Z

Check the commutativity and associativity of O on Q defined by ab=a^(2)+b^(2) for all a,b in Q

Check the commutativity and associativity of o on Q defined by a ob =(ab)/(2) for all a,b in Q

Check the commutativity and associativity of * on N defined by a*b=2^(ab) for all a,b in N

Check the commutativity and associativity of * on Q defined by a*b=ab^(2) for all a,b in Q

Check the commutativity and associativity of * on Q defined by a*b=(a-b)^(2) for all a,b in Q.