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

0.43×104
0.43 times 10 superscript 4 baseline

4.3×104
4.3 times 10 superscript 4 baseline

2.33×105
2.33 times 10 superscript 5 baseline

4.3×10^5

Answer 1

To find the area of the pavilion in square feet, we can use the total number of bricks and the number of bricks per square foot. The formula to calculate the area (A) in square feet is:

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

Given:

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

Now we can calculate the area:

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

Calculating the division:

\[ A \approx 0.43043478 \times 10^5 \]

Now, we can express this result in scientific notation.

To express \(0.43043478\) in standard scientific notation, we convert it:

\[ 0.43043478 = 4.3043478 \times 10^{-1} \]

Now, including \(10^5\):

\[ A \approx 4.3043478 \times 10^{-1} \times 10^5 = 4.3043478 \times 10^{4} \]

Rounding to two significant figures gives:

\[ A \approx 4.3 \times 10^{4} \]

The correct response from your options is:

4.3 × 10^4.