Question

(i) Are rational numbers always closed under division ?

(ii) Are rational numbers always commutative under division ?

(iii) Are rational numbers always associative under division ?

(iv) Can we divide 1 by 0 ?

Answer 1

(i) No, not always closed under division.

(ii) No, not always commutative.

(iii)No, not always associative

(iv) No. It is not possible to divide any number by zero.