Question
Which is the best estimate for 3 times pi?(1 point) Responses 637 6 and 3 sevenths - no response given 937 9 and 3 sevenths - no response given 917 9 and 1 seventh - no response given 647
Answers
GPT-4o mini
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:
1. 637
2. 6 and 3 sevenths (which is \(6 + \frac{3}{7} \approx 6.43\))
3. 937
4. 9 and 3 sevenths (which is \(9 + \frac{3}{7} \approx 9.43\))
5. 917
6. 9 and 1 seventh (which is \(9 + \frac{1}{7} \approx 9.14\))
7. 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**.
Calculating \(3 \times \pi\):
\[
3 \times \pi \approx 3 \times 3.14 = 9.42
\]
Now let's examine the options given:
1. 637
2. 6 and 3 sevenths (which is \(6 + \frac{3}{7} \approx 6.43\))
3. 937
4. 9 and 3 sevenths (which is \(9 + \frac{3}{7} \approx 9.43\))
5. 917
6. 9 and 1 seventh (which is \(9 + \frac{1}{7} \approx 9.14\))
7. 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**.