A large pavilion is made of 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)

Question

Responses

2.33×105
2.33 times 10 superscript 5 baseline

0.43×104
0.43 times 10 superscript 4 baseline

4.3×104
4.3 times 10 superscript 4 baseline

4.3×105

Answer 1

To determine the number of square feet the pavilion occupies, we divide the total number of bricks by the number of bricks per square foot.

Given:

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

Calculation: \[ \text{Area (in square feet)} = \frac{\text{Total number of bricks}}{\text{Bricks per square foot}} = \frac{2.967 \times 10^5}{6.9} \]

First, we can perform the division: \[ \frac{2.967}{6.9} \approx 0.430

\] Now, we express this result in scientific notation: \[ 0.430 = 4.3 \times 10^{-1} \]

Now incorporating the \(10^5\) from the original number of bricks: \[ \text{Area} = 4.3 \times 10^{-1} \times 10^5 = 4.3 \times 10^{4} \]

Thus, the area of the pavilion is \( \boxed{4.3 \times 10^4} \) square feet.