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.

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Solution

(i) True every natural is a whole number because natural number start from $1$ and whole number start from $0$ , so every natural number is a whole number.

(ii) True because an integer is a whole number ( not a fractional number ) that can be positive or zero.

(iii) False a rational number is any number that can be expressed as the quotient of two integers.

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Similar questions

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.

State whether the following statements are true or false. Give reasons for your answer.

(i) Every natural number is a whole number.

(ii) Every whole number is a natural number.

(iii) Every integer is a whole number.

(iv) Every integer is a rational number.

(v) Every rational number is an integer.

(vi) Every rational number is a whole number.

Question 4 (iii)
State whether the following statement is true or false. Give reasons for your answer.

Every rational number is a whole number.

Question 4 (i)
State whether the following statement is true or false. Give reasons for your answer.

Every natural number is a whole number.

State whether the following statements are true or false. Justify your answers.

(i) Every irrational number is a real number.

(ii) Every point on the number line is of the form $\sqrt{m},$ where $^{'} m^{'}$ is a natural number.

(iii) Every real number is an irrational number.

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