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Which of the following are rational numbers? $\newline$ Multi-select Choices: $\newline$ (A) $0$ $\newline$ (B) $\pi$ $\newline$ (C) $1$ $\newline$ (D) $10.81$

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Classify numbers

Full solution

Q. Which of the following are rational numbers?

\newline

Multi-select Choices:

\newline

(A)

0

\newline

(B)

\pi

\newline

(C)

1

\newline

(D)

10.81

Define Rational Number: Define a rational number. $\newline$ A rational number is any number that can be expressed as the quotient or fraction $\frac{p}{q}$ of two integers, where $p$ and $q$ are integers and $q$ is not zero. Rational numbers include integers, fractions, and terminating or repeating decimals.
Evaluate $0$ : Evaluate choice (A) $0$ . $\newline$ The number $0$ can be expressed as $\frac{0}{1}$ , where $0$ and $1$ are both integers and $1$ is not zero. Therefore, $0$ is a rational number.
Evaluate Pi: Evaluate choice (B) $\pi$ . The number $\pi$ (pi) is known to be an irrational number. It cannot be expressed as a fraction of two integers and its decimal representation is non-terminating and non-repeating.
Evaluate $1$ : Evaluate choice (C) $1$ . The number $1$ can be expressed as $\frac{1}{1}$ , where both $1$ 's are integers and the denominator is not zero. Therefore, $1$ is a rational number.
Evaluate $10$ . $81$ : Evaluate choice (D) $10.81$ . The number $10.81$ is a terminating decimal, which means it can be expressed as a fraction. In this case, $10.81 = \frac{1081}{100}$ , where both $1081$ and $100$ are integers and $100$ is not zero. Therefore, $10.81$ is a rational number.

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