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Is $-1$ an irrational number? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Classify numbers

Full solution

Q. Is

-1

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, where both numerator and denominator are integers and the denominator is not $0$ .
Express $-1$ as fraction: Step $2$ : Express $-1$ as a fraction. $-1$ can be written as $-\frac{1}{1}$ , where $-1$ is the numerator and $1$ is the denominator.
Check if $-\frac{1}{1}$ is irrational: Step $3$ : Check if $-\frac{1}{1}$ fits the definition of an irrational number. $\newline$ Since $-\frac{1}{1}$ is a fraction with integer numerator and denominator, and the denominator is not zero, $-1$ is not an irrational number.

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