Find the decimal form of each value to the nearest ten thousandth (3 decimal places) and determine if the following values are rational or irrational
\sqrt{16}=
\frac{\pi}{2}=
\frac{2}{3}=
\sqrt{324}=
To find the decimal form of each value to the nearest ten thousandth (3 decimal places), we need to evaluate each expression.
$\sqrt{16}=4.000$ (To the nearest ten thousandth, it is 4.000.)
$\frac{\pi}{2}=1.571$ (To the nearest ten thousandth, it is 1.571.)
$\frac{2}{3}=0.667$ (To the nearest ten thousandth, it is 0.667.)
$\sqrt{324}=18.000$ (To the nearest ten thousandth, it is 18.000.)
To determine if these values are rational or irrational:
$\sqrt{16}$ is rational because it is equal to 4, which can be expressed as a fraction $\frac{4}{1}$.
$\frac{\pi}{2}$ is irrational because $\pi$ is irrational. Irrational numbers cannot be expressed as a fraction of two integers.
$\frac{2}{3}$ is a rational number because it can be expressed as $\frac{2}{3}$, where 2 and 3 are both integers.
$\sqrt{324}$ is rational because it is equal to 18, which can be expressed as a fraction $\frac{18}{1}$.