Question

State whether the following statement are true or false. Give complete reasons for your answers.
(i) Every natural number is a whole number.
(ii) Every integer is a whole number.
(iii) Every rational number is a whole number.

Answer 1

Solution:

(i) True

• ∵ The collection of all natural numbers and 0 is called whole numbers.

(ii) False

• ∵ Negative integers are not whole numbers.

(iii) False

• ∵ Rational numbers are of the form p/q, q ≠ 0 and q does not divide p completely that are not whole numbers.

Answer 2

Solution:

(i) True

• ∵ The collection of all natural numbers and 0 is called whole numbers.

(ii) False

• ∵ Negative integers are not whole numbers.

(iii) False

• ∵ Rational numbers are of the form p/q, q ≠ 0 and q does not divide p completely that are not whole numbers.