use the drop - down menus to classify each nu...
use the drop - down menus to classify each number as rational or irrational. click the arrows to choose an answer from each menu. 4.79 is choose... $sqrt{24}$ is choose... $\frac{pi}{2}$ is choose...
Answer
# Explanation:
## Step1: Recall rational - number definition
A rational number can be written as a fraction $\frac{p}{q}$ where $p,q$ are integers and $q\neq0$. A terminating decimal is rational. Since $4.79=\frac{479}{100}$, where $479$ and $100$ are integers, $4.79$ is rational.
## Step2: Analyze $\sqrt{24}$
We know that $\sqrt{24} = \sqrt{4\times6}=2\sqrt{6}$. Since $\sqrt{6}$ is an irrational number (a non - perfect - square square root of a positive integer is irrational), and the product of a non - zero rational number ($2$) and an irrational number ($\sqrt{6}$) is irrational, $\sqrt{24}$ is irrational.
## Step3: Analyze $\frac{\pi}{2}$
Since $\pi$ is an irrational number (a non - repeating, non - terminating decimal), and the quotient of an irrational number ($\pi$) and a non - zero rational number ($2$) is irrational, $\frac{\pi}{2}$ is irrational.
# Answer:
$4.79$ is rational.
$\sqrt{24}$ is irrational.
$\frac{\pi}{2}$ is irrational.