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Is $0$ an irrational number? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Classify numbers

Full solution

Q. Is

0

an irrational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Define irrational number: Step $1$ : Define an irrational number. An irrational number cannot be expressed as a simple fraction, meaning it's not a ratio of two integers. Examples include $\pi$ (pi) and $\sqrt{2}$ .
Determine if $0$ is a fraction: Step $2$ : Determine if $0$ can be expressed as a fraction. $\newline$ $0$ can be written as $\frac{0}{1}$ , where $0$ and $1$ are integers.
Compare $0$ with definition: Step $3$ : Compare $0$ with the definition of irrational numbers. $\newline$ Since $0$ can be expressed as a fraction ( $0/1$ ), it does not fit the definition of an irrational number, which must not be expressible as a fraction.

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