Justify the following statements: (a) Rational numbers are not closed under division .

(b) Rational numbers does not satisfy commutative property under subtraction and division.

(c) Zero has no multiplicative inverse.

(d) Rational numbers satisfy distributive property over addition and subtraction.

(e) If the sum of two rationals is 0, then each one is called the additive inverse of the other.

(f) If the product of two rationals is 1, then each one is called the multiplicative inverse of the

other.​