Question
Is 6 4/7 a estimate for 3 times pi
Answers
GPT-4o mini
To determine if \( 6 \frac{4}{7} \) is an estimate for \( 3 \times \pi \), we first need to calculate \( 3 \times \pi \).
Using the approximate value of \( \pi \) as \( 3.14 \):
\[
3 \times \pi \approx 3 \times 3.14 = 9.42
\]
Next, let's convert \( 6 \frac{4}{7} \) to a decimal for comparison:
\[
6 \frac{4}{7} = 6 + \frac{4}{7} \approx 6 + 0.5714 \approx 6.5714
\]
Now, we can compare the two values:
\[
3 \times \pi \approx 9.42
\]
\[
6 \frac{4}{7} \approx 6.5714
\]
Since \( 9.42 \) is much greater than \( 6.5714 \), we conclude that \( 6 \frac{4}{7} \) is not an estimate for \( 3 \times \pi \). The correct estimate for \( 3 \times \pi \) would be closer to \( 9.42 \).
Using the approximate value of \( \pi \) as \( 3.14 \):
\[
3 \times \pi \approx 3 \times 3.14 = 9.42
\]
Next, let's convert \( 6 \frac{4}{7} \) to a decimal for comparison:
\[
6 \frac{4}{7} = 6 + \frac{4}{7} \approx 6 + 0.5714 \approx 6.5714
\]
Now, we can compare the two values:
\[
3 \times \pi \approx 9.42
\]
\[
6 \frac{4}{7} \approx 6.5714
\]
Since \( 9.42 \) is much greater than \( 6.5714 \), we conclude that \( 6 \frac{4}{7} \) is not an estimate for \( 3 \times \pi \). The correct estimate for \( 3 \times \pi \) would be closer to \( 9.42 \).