Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

Is the following number rational or irrational?\newlineπ5\frac{\pi}{5}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Classify rational and irrational numbersright chevron icon

Full solution

Q. Is the following number rational or irrational?\newlineπ5\frac{\pi}{5}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
  1. Nature of Pi: Evaluate the nature of the number pi. Pi (π\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.
  2. Nature of 55: Evaluate the nature of the number 55.\newlineThe number 55 is an integer, and any integer is a rational number because it can be expressed as a fraction where the denominator is 11 (51\frac{5}{1}).
  3. Division of Irrational by Rational: Determine the nature of the division of an irrational number by a rational number.\newlineDividing an irrational number by a rational number (other than zero) results in an irrational number. Since π\pi is irrational and 55 is rational, the quotient π5\frac{\pi}{5} is irrational.

More problems from Classify rational and irrational numbers

Question
The number t t is irrational. Which statement about t−47 t - \sqrt{47} is true?\newlineChoices:\newline(A) t−47 t - \sqrt{47} is rational. \newline(B) t−47 t - \sqrt{47} is irrational. \newline(C) t−47 t - \sqrt{47} can be rational or irrational, depending on the value of t t .
Get tutor helpright-arrow

Posted 3 months ago

Question
Is (314)⋅(771)(\frac{3}{14})\cdot(\frac{7}{71}) rational or irrational?\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational\newline(C) It can be either rational or irrational
Get tutor helpright-arrow

Posted 6 months ago

Question
Is the following number rational or irrational?\newline−3+π-3+\pi\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 7 months ago

Question
Is the following number rational or irrational?\newline−0.32‾-0.\overline{32}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 8 months ago

Question
Is the following number rational or irrational?\newline121\sqrt{121}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 8 months ago

Question
Is the following number rational or irrational?\newline0.55550.5555\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 8 months ago

Question
Is the following number rational or irrational?\newline7.117.11\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 8 months ago

Question
Is the following number rational or irrational?\newline0.30.9\frac{0.3}{0.9}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 8 months ago

Question
Is the following number rational or irrational?\newline−11π-11\pi\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 6 months ago

Question
Solve for all values of xx xx in simplest form.\newline4+3∣3x−7∣=28 4 + 3 \vert 3x - 7 \vert = 28
Get tutor helpright-arrow

Posted 2 hours ago

View all (130)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant