The operation ×on the set Qof rational numbers is defined by:X×Y =X×Y for x, y£q.
Find under the operation × 1) the identified element. 2) the inverse of the element a£Q.
1) The identified element, denoted as e, is the rational number such that e × x = x × e = x for all x ∈ Q. In this case, e = 1 because 1 × x = x × 1 = x for any rational number x.
2) The inverse of an element a ∈ Q, denoted as a^(-1), is the rational number such that a × a^(-1) = a^(-1) × a = e, where e is the identified element. In this case, the inverse of a is a^(-1) = 1/a.