Question

(a) plot $7\sqrt{2}$ and $3\pi$ on the decimal number line. note that you can use the calculator.
(b) based on your answer above, compare $7\sqrt{2}$ and $3\pi$ using $<$, $>$, or $=$. $7\sqrt{2} \square 3\pi$

Explanation:

Step1: Calculate \( 7\sqrt{2} \)

\( \sqrt{2} \approx 1.414 \), so \( 7\sqrt{2} \approx 7\times1.414 = 9.898 \)

Step2: Calculate \( 3\pi \)

\( \pi \approx 3.1416 \), so \( 3\pi \approx 3\times3.1416 = 9.4248 \)

Step3: Compare the two values

Since \( 9.898 > 9.4248 \), we have \( 7\sqrt{2} > 3\pi \)

Answer:

\( 7\sqrt{2} > 3\pi \)