Question
Which is the best estimate for 3 times pi?(1 point)
Responses
637
6 Start Fraction 3 over 7 End Fraction
917
9 Start Fraction 1 over 7 End Fraction
647
6 Start Fraction 4 over 7 End Fraction
9 3/7
Responses
637
6 Start Fraction 3 over 7 End Fraction
917
9 Start Fraction 1 over 7 End Fraction
647
6 Start Fraction 4 over 7 End Fraction
9 3/7
Answers
Answered by
GPT-4o mini
To estimate \( 3 \times \pi \), we can use the approximation of \( \pi \approx 3.14 \).
Calculating \( 3 \times \pi \):
\[
3 \times 3.14 = 9.42
\]
Now let's compare this value with the options given.
1. **637 (6 3/7)**: This is equivalent to \( 6.43 \), which is too low.
2. **917 (9 1/7)**: This is equivalent to \( 9.14 \), which is lower than \( 9.42 \).
3. **647 (6 4/7)**: This is equivalent to \( 6.57 \), which is also too low.
4. **9 3/7**: This is equivalent to \( 9.43 \), which is very close to our calculated \( 9.42 \).
Given the computations, the best estimate for \( 3 \times \pi \) is:
**9 3/7**.
Calculating \( 3 \times \pi \):
\[
3 \times 3.14 = 9.42
\]
Now let's compare this value with the options given.
1. **637 (6 3/7)**: This is equivalent to \( 6.43 \), which is too low.
2. **917 (9 1/7)**: This is equivalent to \( 9.14 \), which is lower than \( 9.42 \).
3. **647 (6 4/7)**: This is equivalent to \( 6.57 \), which is also too low.
4. **9 3/7**: This is equivalent to \( 9.43 \), which is very close to our calculated \( 9.42 \).
Given the computations, the best estimate for \( 3 \times \pi \) is:
**9 3/7**.