Question

number sense
is $\frac{pi}{1}$ rational?
explain your answer.

Explanation:

A rational number is defined as any number that can be written as $\frac{p}{q}$, where $p$ and $q$ are integers and $q
eq 0$. While $\frac{\pi}{1}$ fits the fraction form, $\pi$ is an irrational number: it has a non-repeating, non-terminating decimal expansion ($3.1415926535...$) and cannot be expressed as a ratio of two integers. Since $\pi$ is irrational, $\frac{\pi}{1}$ (which is equal to $\pi$) is also irrational.

Answer:

No, $\frac{\pi}{1}$ is not rational. $\frac{\pi}{1}$ is equivalent to $\pi$, an irrational number with a non-repeating, non-terminating decimal expansion that cannot be written as a ratio of two integers.