Is zero a rational number? Give reasons for your answer.

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Solution

Yes, zero is a rational number.
That is because it can be represented as $0 = \frac{0}{1} = \frac{0}{2} = \frac{0}{3} = \frac{0}{- 1} = . . . .$

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State whether the following statement is true or false. Give reasons for your answer.

Every rational number is a whole number.

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.

Are the following statements true or false ? Give reasons for your answer.

(i) Every whole number is a natural number.

(ii) Every integer is a rational number.

(iii) Every rational number is an integer.

(iv) Every natural number is a whole number.

(v) Every integer is a whole number.

(vi) Every rational number is a whole number.

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