Which is the best estimate for 3 times pi?(1 point)

Question

Responses

917
9 Start Fraction 1 over 7 End Fraction

937
9 Start Fraction 3 over 7 End Fraction

637
6 Start Fraction 3 over 7 End Fraction

647

Answer 1

To estimate \( 3 \times \pi \), we can use the approximate value of \( \pi \) which is \( 3.14 \).

Calculating:

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

Now, let's convert this into a fraction and look at the provided responses.

Here are the approximate fractions for the options given:

1. \( 9 \frac{1}{7} \) is approximately \( 9.14 \).
2. \( 9 \frac{3}{7} \) is approximately \( 9.43 \).
3. \( 6 \frac{3}{7} \) is approximately \( 6.43 \).
4. \( 6 \) is just \( 6 \).

From the estimates, \( 9 \frac{3}{7} \) (approximately \( 9.43 \)) is closest to \( 3 \times \pi \) which we calculated to be about \( 9.42 \).

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

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