Which of the following are rational numbers? Multi-select Choices: (A)1/7 (B)0 (C)9.81 (D)9/4

Definition of Rational Number: A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, where q is not zero. Let's evaluate each option.Option (A) Evaluation: Option (A) is 1/7. This is a fraction where both numerator and denominator are integers, and the denominator is not zero. Therefore, 1/7 is a rational number.Option (B) Evaluation: Option (B) is 0. Zero can be expressed as 0/1, where 0 is an integer and 1 is a non-zero integer. Therefore, 0 is a rational number.Option (C) Evaluation: Option (C) is 9.81. This is a decimal number. However, it can be expressed as a fraction 981/100, where both numerator and denominator are integers, and the denominator is not zero. Therefore, 9.81 is a rational number.Option (D) Evaluation: Option (D) is 9/4. This is a fraction where both numerator and denominator are integers, and the denominator is not zero. Therefore, 9/4 is a rational number.

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Which of the following are rational numbers? $\newline$ Multi-select Choices: $\newline$ (A) $\frac{1}{7}$ $\newline$ (B) $0$ $\newline$ (C) $9.81$ $\newline$ (D) $\frac{9}{4}$

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Algebra 1

Domain and range of quadratic functions: equations

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Q. Which of the following are rational numbers?

\newline

Multi-select Choices:

\newline

(A)

\frac{1}{7}

\newline

(B)

0

\newline

(C)

9.81

\newline

(D)

\frac{9}{4}

Definition of Rational Number: A rational number is a number that can be expressed as the quotient or fraction $\frac{p}{q}$ of two integers, where $q \neq 0$ . Let's evaluate each option.
Option (A) Evaluation: Option (A) is $\frac{1}{7}$ . This is a fraction where both numerator and denominator are integers, and the denominator is not zero. Therefore, $\frac{1}{7}$ is a rational number.
Option (B) Evaluation: Option (B) is $0$ . Zero can be expressed as $\frac{0}{1}$ , where $0$ is an integer and $1$ is a non-zero integer. Therefore, $0$ is a rational number.
Option (C) Evaluation: Option (C) is $9.81$ . This is a decimal number. However, it can be expressed as a fraction $\frac{981}{100}$ , where both numerator and denominator are integers, and the denominator is not zero. Therefore, $9.81$ is a rational number.
Option (D) Evaluation: Option (D) is $\frac{9}{4}$ . This is a fraction where both numerator and denominator are integers, and the denominator is not zero. Therefore, $\frac{9}{4}$ is a rational number.