Is the following number rational or irrational? 0.3 pi Choose 1 answer: (A) Rational (B) Irrational

Nature of 0.3 pi: Evaluate the nature of the number 0.3 pi. 0.3 pi is a multiple of the number pi. Pi (π) is known to be an irrational number because it cannot be expressed as a fraction of two integers.Multiplying irrational and rational numbers: Determine if multiplying an irrational number by a rational number results in a rational or irrational number. Multiplying an irrational number by a non-zero rational number results in an irrational number. Since 0.3 (which is rational) is not zero, 0.3 pi is irrational.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is the following number rational or irrational?

0.3 pi
Choose 1 answer:
(A) Rational
(B) Irrational

Is the following number rational or irrational? $\newline$ $0.3 \pi$ $\newline$ Choose $1$ answer: $\newline$ (A) Rational $\newline$ (B) Irrational

View step-by-step help

Home

Math Problems

Algebra 2

Classify rational and irrational numbers

Full solution

Q. Is the following number rational or irrational?

\newline

0.3 \pi

\newline

Choose

1

answer:

\newline

(A) Rational

\newline

(B) Irrational

Nature of $0.3 \pi$ : Evaluate the nature of the number $0.3 \pi$ . $\newline$ $0.3 \pi$ is a multiple of the number $\pi$ . $\newline$ Pi ( $\pi$ ) is known to be an irrational number because it cannot be expressed as a fraction of two integers.
Multiplying irrational and rational numbers: Determine if multiplying an irrational number by a rational number results in a rational or irrational number. $\newline$ Multiplying an irrational number by a non-zero rational number results in an irrational number. $\newline$ Since $0.3$ (which is rational) is not zero, $0.3 \pi$ is irrational.