Is $0$ a rational or irrational number?

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Solution

Check whether $0$ is a rational or irrational number:
A rational number is any number that can be written as a ratio of two integers $\frac{p}{q}$ where $q \neq 0$
So, $0$ is a rational number as it can be expressed as a ratio of two integers $\frac{p}{q}$ . Example $\frac{0}{1}, \frac{0}{2}$ etc.
Hence, $0$ is a rational number.

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Similar questions

State, in each case, whether the given statement is true or false.

(i) The sum of two rational numbers is rational.

(ii) The sum of two irrational numbers is irrational.

(iii) The product of two rational numbers is rational.

(iv) The product of two irrational numbers is irrational.

(v) The sum of a rational number and an irrational number is irrational.

(vi) The product of a nonzero rational number and an irrational number is a rational number.

(vii) Every real number is rational.

(viii) Every real number is either rational or irrational.

(ix) $π$ is irrational and $\frac{22}{7}$ is rational.

Is $0$ a rational, irrational, natural, whole, integer or real number?

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