Question

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

Answer 1

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

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

Now, we compare this value with the options given:

- A. \(9 \frac{1}{7} = 9.142857\)
- B. \(6 \frac{3}{7} = 6.428571\)
- C. \(6 \frac{4}{7} = 6.571429\)
- D. \(9 \frac{3}{7} = 9.428571\)

The closest approximation to \(9.42\) is \(9 \frac{3}{7}\).

Thus, the best estimate for \(3 \times \pi\) is:

**D. 9 3/7**