Question

Which is the best estimate for 3 times pi?
A. 6 4/7
B. 9 3/7
C. 9 1/7
D. 6 3/7

Answer 1

To estimate \( 3 \times \pi \), we can use \( \pi \approx 3.14 \).

Calculating:
\[
3 \times \pi \approx 3 \times 3.14 = 9.42
\]

Now, we need to compare this estimate to the given options:

A. \( 6 \frac{4}{7} = 6 + \frac{4}{7} \approx 6.57 \)

B. \( 9 \frac{3}{7} = 9 + \frac{3}{7} \approx 9.43 \)

C. \( 9 \frac{1}{7} = 9 + \frac{1}{7} \approx 9.14 \)

D. \( 6 \frac{3}{7} = 6 + \frac{3}{7} \approx 6.43 \)

From the estimates:

- Option A is approximately 6.57.
- Option B is approximately 9.43.
- Option C is approximately 9.14.
- Option D is approximately 6.43.

Since \( 9.42 \) is closest to \( 9 \frac{3}{7} \) (which is approximately 9.43), the best estimate for \( 3 \times \pi \) is:

**B. \( 9 \frac{3}{7} \)**