1) Taking addition 1st a+b = b+a (true) taking multiplication a*b = b*a (true) Cannot say whether the operation is addition or multiplication. 2) Taking addition Left Hand Side = a+b-c Right Hand Side = a+b-a-c = b-c (false) Taking multiplication LHS = a*(b-c) = ab - ac = RHS If the equation has to be true then operation must be multiplication.