Question
Which is the best estimate for 3 times pi?(1 point)
Responses
637
6 Start Fraction 3 over 7 End Fraction
937
9 Start Fraction 3 over 7 End Fraction
917
9 Start Fraction 1 over 7 End Fraction
647
Responses
637
6 Start Fraction 3 over 7 End Fraction
937
9 Start Fraction 3 over 7 End Fraction
917
9 Start Fraction 1 over 7 End Fraction
647
Answers
GPT-4o mini
To estimate \( 3 \times \pi \), we can use the approximation that \( \pi \) is about \( 3.14 \).
Calculating \( 3 \times \pi \):
\[
3 \times 3.14 \approx 9.42
\]
Now let's evaluate the provided options to find the best estimate for \( 9.42 \):
- 637
- \( 6 \frac{3}{7} \) (which is \( 6 + \frac{3}{7} \approx 6.43 \))
- 937
- \( 9 \frac{3}{7} \) (which is \( 9 + \frac{3}{7} \approx 9.43 \))
- 917
- \( 9 \frac{1}{7} \) (which is \( 9 + \frac{1}{7} \approx 9.14 \))
- 647
The option \( 9 \frac{3}{7} \approx 9.43 \) is the closest to \( 9.42 \).
Therefore, the best estimate for \( 3 \times \pi \) is:
**\( 9 \frac{3}{7} \)**.
Calculating \( 3 \times \pi \):
\[
3 \times 3.14 \approx 9.42
\]
Now let's evaluate the provided options to find the best estimate for \( 9.42 \):
- 637
- \( 6 \frac{3}{7} \) (which is \( 6 + \frac{3}{7} \approx 6.43 \))
- 937
- \( 9 \frac{3}{7} \) (which is \( 9 + \frac{3}{7} \approx 9.43 \))
- 917
- \( 9 \frac{1}{7} \) (which is \( 9 + \frac{1}{7} \approx 9.14 \))
- 647
The option \( 9 \frac{3}{7} \approx 9.43 \) is the closest to \( 9.42 \).
Therefore, the best estimate for \( 3 \times \pi \) is:
**\( 9 \frac{3}{7} \)**.