Which of the following is a rational number? Choices: (A)8/9 (B)sqrt 3 (C)𝜋 (D)sqrt 2

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 p and q are integers and q is not zero. Let's evaluate each choice to see if it fits this definition.Choice (A) Evaluation: Choice (A) is 8/9. This is a fraction where both the numerator (8) and the denominator (9) are integers, and the denominator is not zero. Therefore, 8/9 is a rational number.Choice (B) Evaluation: Choice (B) is sqrt(3). The square root of 3 is an irrational number because it cannot be expressed as a fraction of two integers. It is a non-repeating, non-terminating decimal.Choice (C) Evaluation: Choice (C) is π (pi). Pi is an irrational number because it cannot be expressed as a fraction of two integers. It is a non-repeating, non-terminating decimal that represents the ratio of the circumference of a circle to its diameter.Choice (D) Evaluation: Choice (D) is sqrt(2). The square root of 2 is also an irrational number because it cannot be expressed as a fraction of two integers. It is a non-repeating, non-terminating decimal.

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Which of the following is a rational number? $\newline$ Choices: $\newline$ (A) $\frac{8}{9}$ $\newline$ (B) $\sqrt{3}$ $\newline$ (C) $\pi$ $\newline$ (D) $\sqrt{2}$

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Algebra 1

Domain and range of quadratic functions: equations

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Q. Which of the following is a rational number?

\newline

Choices:

\newline

(A)

\frac{8}{9}

\newline

(B)

\sqrt{3}

\newline

(C)

\pi

\newline

(D)

\sqrt{2}

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 $p$ and $q$ are integers and $q$ is not zero. Let's evaluate each choice to see if it fits this definition.
Choice (A) Evaluation: Choice (A) is $\frac{8}{9}$ . This is a fraction where both the numerator ( $8$ ) and the denominator ( $9$ ) are integers, and the denominator is not zero. Therefore, $\frac{8}{9}$ is a rational number.
Choice (B) Evaluation: Choice (B) is $\sqrt{3}$ . The square root of $3$ is an irrational number because it cannot be expressed as a fraction of two integers. It is a non-repeating, non-terminating decimal.
Choice (C) Evaluation: Choice (C) is $\pi$ (pi). Pi is an irrational number because it cannot be expressed as a fraction of two integers. It is a non-repeating, non-terminating decimal that represents the ratio of the circumference of a circle to its diameter.
Choice (D) Evaluation: Choice (D) is $\sqrt{2}$ . The square root of $2$ is also an irrational number because it cannot be expressed as a fraction of two integers. It is a non-repeating, non-terminating decimal.