Consider the binary operation `**:QrarrQ`,where Q is the set of rational numbers,is defined as a*b=a+b-ab.(i).Is * associative?Justify your answer.

Consider the binary operation ast : QtoQ where Q is the set of rational numbers as defined as aastb=a+b-ab Find 2ast3

Consider the binary operation ast : QtoQ where Q is the set of rational numbers as defined as aastb=a+b-ab Is identity for ast exist? If yes, find the identity element.

Consider the binary operation ast : QtoQ where Q is the set of rational numbers as defined as aastb=a+b-ab Are elements of Q invertible? Is yes, find the inverse of an element in Q

Consider the binary operation ast on the set R of real numbers, defined by aastb=a b /4 Show that ast is commutative and associative.

Consider the binary operation ast on the set R of real numbers, defined by aastb = a b / 4 Find the inverse of 5.

Let * be a binary operation on N , the set of all natural numbers defined by a * b = a^b , a, b in N . Is (N,*) associative or commutative?

Let ast be a binary operation on the set Q of rational numbers defined by aastb=frac(ab)(3) . Check whether ast is commutative and associative?

Let ** be a binary operation on the set Q of rational numbers as follows a**b=a-b . Check whether * is commutative and associative

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

(i)"The number 6 has three prime factors".Is it a statement?Justify your answer.