Prove that in the set of real numbers '+' and `'xx'` are associative but '-' and `'div'` are not associative.

In the set of real numbers. does subtraction satisfy the associative law?

Show that division of rational number is not associative.

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.

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

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

Determine if the binaary operation o on the set R of real numbers defined by aob = a+b-3 AA a, b inR is commutative/ associative.

Let ** be a binary opertion on the set Q of rational numbers as follows: a ** b = (a-b) ^(2) commutative and associative.

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