Is the following number rational or irrational? (pi)/(5) Choose 1 answer: (A) Rational (B) Irrational

Nature of Pi: Evaluate the nature of the number pi. Pi (π) is a well-known mathematical constant representing the ratio of a circle's circumference to its diameter. It is an irrational number because it cannot be expressed as a fraction of two integers. Pi has a non-repeating, non-terminating decimal expansion.Nature of 5: Evaluate the nature of the number 5. The number 5 is an integer, and any integer is a rational number because it can be expressed as a fraction where the denominator is 1 (5/1).Division of Irrational by Rational: Determine the nature of the division of an irrational number by a rational number. Dividing an irrational number by a rational number (other than zero) results in an irrational number. Since pi is irrational and 5 is rational, the quotient (pi)/(5) is irrational.

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Is the following number rational or irrational?

(pi)/(5)
Choose 1 answer:
(A) Rational
(B) Irrational

Is the following number rational or irrational? $\newline$ $\frac{\pi}{5}$ $\newline$ Choose $1$ answer: $\newline$ (A) Rational $\newline$ (B) Irrational

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Math Problems

Algebra 2

Classify rational and irrational numbers

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Q. Is the following number rational or irrational?

\newline

\frac{\pi}{5}

\newline

Choose

1

answer:

\newline

(A) Rational

\newline

(B) Irrational

Nature of Pi: Evaluate the nature of the number pi. Pi ( $\pi$ ) is a well-known mathematical constant representing the ratio of a circle's circumference to its diameter. It is an irrational number because it cannot be expressed as a fraction of two integers. Pi has a non-repeating, non-terminating decimal expansion.
Nature of $5$ : Evaluate the nature of the number $5$ . $\newline$ The number $5$ is an integer, and any integer is a rational number because it can be expressed as a fraction where the denominator is $1$ ( $\frac{5}{1}$ ).
Division of Irrational by Rational: Determine the nature of the division of an irrational number by a rational number. $\newline$ Dividing an irrational number by a rational number (other than zero) results in an irrational number. Since $\pi$ is irrational and $5$ is rational, the quotient $\frac{\pi}{5}$ is irrational.