Question

put these values in order from least to greatest.
3π 32.3 √66 39/4

Explanation:

Step1: Calculate the value of \(3\pi\)

We know that \(\pi\approx3.14\), so \(3\pi\approx3\times3.14 = 9.42\)

Step2: Calculate the value of \(\sqrt{66}\)

We know that \(8^2 = 64\) and \(9^2 = 81\), so \(\sqrt{64}<\sqrt{66}<\sqrt{81}\), that is \(8<\sqrt{66}<9\). And more precisely, \(\sqrt{66}\approx8.124\)

Step3: Calculate the value of \(\frac{39}{4}\)

\(\frac{39}{4}=9.75\)

Step4: Compare the values

Now we have the values: \(3\pi\approx9.42\), \(\sqrt{66}\approx8.124\), \(\frac{39}{4}=9.75\), and \(32.3\)
Comparing these values: \(8.124<9.42<9.75<32.3\), that is \(\sqrt{66}<3\pi<\frac{39}{4}<32.3\)

Answer:

\(\sqrt{66}\), \(3\pi\), \(\frac{39}{4}\), \(32.3\)