A large pavilion is made of 2.967×105

Question

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

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

4.3×105
  4.3 times 10 superscript 5 baseline
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Answer 1

To find the area of the pavilion in square feet, we can 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 = \(6.9\)

We can calculate the area in square feet as follows:

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

Perform the division:

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

Now, multiply by \(10^5\):

\[ \text{Area} \approx 0.430 \times 10^5 \]

Now, convert \(0.430\) to scientific notation:

\[ 0.430 = 4.30 \times 10^{-1} \]

Thus,

\[ 0.430 \times 10^5 = 4.30 \times 10^{-1} \times 10^5 = 4.30 \times 10^{4} \]

So, the area of the pavilion is:

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