Which of the following is a rational number? Choices: (A)𝜋 (B)1.27 (C)sqrt 7 (D)sqrt 3

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) - Pi: Choice (A) is 𝜋. Pi (𝜋) is known to be an irrational number because it cannot be expressed as a fraction of two integers. Its decimal expansion is non-terminating and non-repeating.Choice (B) - 1.27: Choice (B) is 1.27. This number has a finite decimal representation, which means it can be expressed as a fraction. In fact, 1.27 can be written as 127/100, which is a quotient of two integers.Choice (C) - sqrt 7: Choice (C) is the square root of 7 (sqrt 7). The square root of 7 is an irrational number because it cannot be expressed as a fraction of two integers. Its decimal expansion is non-terminating and non-repeating.Choice (D) - sqrt 3: Choice (D) is the square root of 3 (sqrt 3). Similar to sqrt 7, the square root of 3 is also an irrational number because it cannot be expressed as a fraction of two integers. Its decimal expansion is non-terminating and non-repeating.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which of the following is a rational number? $\newline$ Choices: $\newline$ (A) $\pi$ $\newline$ (B) $1.27$ $\newline$ (C) $\sqrt{7}$ $\newline$ (D) $\sqrt{3}$

View step-by-step help

Home

Math Problems

Grade 8

Solve a system of equations using any method

Full solution

Q. Which of the following is a rational number?

\newline

Choices:

\newline

(A)

\pi

\newline

(B)

1.27

\newline

(C)

\sqrt{7}

\newline

(D)

\sqrt{3}

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) - Pi: Choice (A) is $\pi$ . Pi ( $\pi$ ) is known to be an irrational number because it cannot be expressed as a fraction of two integers. Its decimal expansion is non-terminating and non-repeating.
Choice (B) - $1.27$ : Choice (B) is $1.27$ . This number has a finite decimal representation, which means it can be expressed as a fraction. In fact, $1.27$ can be written as rac{127}{100}, which is a quotient of two integers.
Choice (C) - $\sqrt{7}$ : Choice (C) is the square root of $7$ ( $\sqrt{7}$ ). The square root of $7$ is an irrational number because it cannot be expressed as a fraction of two integers. Its decimal expansion is non-terminating and non-repeating.
Choice (D) - $\sqrt{3}$ : Choice (D) is the square root of $3$ ( $\sqrt{3}$ ). Similar to $\sqrt{7}$ , the square root of $3$ is also an irrational number because it cannot be expressed as a fraction of two integers. Its decimal expansion is non-terminating and non-repeating.