Question

A large pavilion is made of 2.967×10^5
2.967
×
10
5
bricks. There are 6.9 bricks per square foot. How many square feet is the pavilion? Write the answer in scientific notation.(1 point)
Responses

4.3×10^5
4.3
×
10
5
4.3 times 10 superscript 5 baseline

0.43×10^4
0.43
×
10
4
0.43 times 10 superscript 4 baseline

4.3×10^4
4.3
×
10
4
4.3 times 10 superscript 4 baseline

2.33×10^5

Answer 1

To find the area in square feet of the pavilion, we can use the total number of bricks and the number of bricks per square foot.

Given:
- Total number of bricks = \(2.967 \times 10^5\)
- Bricks per square foot = \(6.9\)

We can calculate the area in square feet (\(A\)) using the formula:

\[
A = \frac{\text{Total number of bricks}}{\text{Bricks per square foot}}
\]

Substituting the values:

\[
A = \frac{2.967 \times 10^5}{6.9}
\]

Now, we will perform the division:

\[
A \approx \frac{2.967}{6.9} \approx 0.430
\]

Now, we need to express it in scientific notation and multiply it by \(10^5\):

\[
A \approx 0.430 \times 10^5
\]

To convert \(0.430\) into scientific notation, we can express it as:

\[
4.3 \times 10^{-1}
\]

Now combine this with \(10^5\):

\[
A \approx 4.3 \times 10^{-1} \times 10^5 = 4.3 \times 10^{4}
\]

Thus, the area of the pavilion is:

\[
\boxed{4.3 \times 10^4}
\]