A large pavilion is made of 2.967×10 to the power of 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

4.3×10 to the power of 4
4.3 times 10 superscript 4 baseline

2.33×10 to the power of 5
2.33 times 10 superscript 5 baseline

0.43×10 to the power of 4
0.43 times 10 superscript 4 baseline

4.3×10 to the power of 5
4.3 times 10 superscript 5 baseline

Answer 1

To find the number of square feet in the pavilion, we can divide the total number of bricks by the number of bricks per square foot.

Total number of bricks = \(2.967 \times 10^5\)

Bricks per square foot = \(6.9\)

Now calculate the area in square feet:

\[ \text{Area} = \frac{\text{Total number of bricks}}{\text{Bricks per square foot}} = \frac{2.967 \times 10^5}{6.9} \]

Calculating the division:

1. Divide the coefficients: \[ \frac{2.967}{6.9} \approx 0.430 , \text{(approximately)} \]

2. The exponent of \(10\) remains the same, which is \(5\).

So, we have: \[ \text{Area} \approx 0.430 \times 10^5 \]

To convert \(0.430\) to scientific notation, we write it as: \[ 4.30 \times 10^{-1} \times 10^5 = 4.30 \times 10^{4} \]

Thus, the area of the pavilion in square feet is approximately:

\[ 4.3 \times 10^4 \]

The correct answer is: 4.3×10 to the power of 4