State whether the following statements are true or false. Give 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.

i) Every natural number is a whole number

Answer: True ✅
Reason: Natural numbers (1, 2, 3, …) are included in whole numbers (0, 1, 2, 3, …).


(ii) Every integer is a whole number

Answer: False ❌
Reason: Integers include negative numbers (…, -2, -1, 0, 1, 2, …) but whole numbers do not include negative numbers.


(iii) Every rational number is a whole number

Answer: False ❌
Reason: Rational numbers include fractions like 12,34\frac{1}{2}, \frac{3}{4}21​,43​, which are not whole numbers.

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