Which is the best estimate for 3 times pi?(1 point) Responses 637 6 and 3 sevenths 917 9 and 1 seventh 647 6 and 4 sevenths 937 9 and 3 sevenths

Answer 1

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

Calculating:

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

Now let's convert the options provided into numerical values (or approximate decimal values):

1. 637 → This does not fit as it is much too high.
2. 6 and 3 sevenths → \(6 + \frac{3}{7} \approx 6 + 0.4286 \approx 6.4286\)
3. 917 → This also does not fit as it is too high.
4. 9 and 1 seventh → \(9 + \frac{1}{7} \approx 9 + 0.1429 \approx 9.1429\)
5. 647 → Again, this does not fit as it is too high.
6. 6 and 4 sevenths → \(6 + \frac{4}{7} \approx 6 + 0.5714 \approx 6.5714\)
7. 9 and 3 sevenths → \(9 + \frac{3}{7} \approx 9 + 0.4286 \approx 9.4286\)

From these estimates, the best estimate for \(3 \times \pi\) is:

9 and 3 sevenths (approximately 9.4286), as it is closest to our calculation of about 9.42.