To find the best estimate for \(3 \times \pi\), we'll first approximate \(\pi\). A good common approximation for \(\pi\) is \(3.14\).
Calculating \(3 \times \pi\):
\[ 3 \times \pi \approx 3 \times 3.14 = 9.42 \]
Now let's examine the options given:
- 637
- 6 and 3 sevenths (which is \(6 + \frac{3}{7} \approx 6.43\))
- 937
- 9 and 3 sevenths (which is \(9 + \frac{3}{7} \approx 9.43\))
- 917
- 9 and 1 seventh (which is \(9 + \frac{1}{7} \approx 9.14\))
- 647
Among these estimates, \(9\) and \(3\) sevenths (approximately \(9.43\)) is the closest to \(9.42\).
Therefore, the best estimate for \(3 \times \pi\) is 9 and 3 sevenths.