On `Q` , the set of all rational numbers a binary operation * is defined by `a*b=(a+b)/2` . Show that * is not associative on `Qdot`

On the set Q of all rational numbers if a binary operation * is defined by a*b= (a b)/5 , prove that * is associative on Qdot

On the set Q of all rational numbers if a binary operation * is defined by a*b=(ab)/(5), prove that * is associative on Q.

On the set Q of all rational numbers an operation * is defined by a*b = 1 + ab . Show that * is a binary operation on Q.

On the set Q of all rational numbers an operation * is defined by a*b=1+ab. show that * is a binary operation on Q.

*be a binary operation on Q,defined as a**b=(3ab)/5 .Show that * is associative.

On Q, the set of all rational numbers, a binary operation * is defined by a*b=(a b)/5 for all a , b in Qdot Find the identity element for * in Q. Also, prove that every non-zero element of Q is invertible.

On Q, the set of all rational numbers, a binary operation * is defined by a*b=(a b)/5 for all a , b in Qdot Find the identity element for * in Q. Also, prove that every non-zero element of Q is invertible.

Q, the set of all rational number, * is defined by a*b= (a-b)/2 , show that * is not associative.

Let * be a binary operation on the set R defined by a ** b = (a + b)/2 . Show that * is commulative but not associative.

Q, the set of all rational number, * is defined by a * b=(a-b)/2 , show that * is no associative.