Simplify the following using distributive property:

(i)

(ii)

(iii)

(a) What is the additive inverse of 0?

(b) What is the multiplicative inverse of 1?

(c) Which integers have multiplicative inverses?

In the set of all rational numbers, give 2 examples each illustrating the following properties:

(i) associativity

(ii) commutativity

(iii) distributivity of multiplication over addition.

Simplify the following:

(i)

(ii)

(iii)

(iv)

Which is the property that is there in the set of all rationals but not in the set of all integers?