Question

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..

Answer 1

Thanks mini

Answer 2

To find the area of the pavilion in square feet, we can use the formula:

\[
\text{Area} = \frac{\text{Number of bricks}}{\text{Bricks per square foot}}
\]

Given that the total number of bricks is \(2.967 \times 10^5\) and there are \(6.9\) bricks per square foot, we can plug in the values:

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

Now, we can perform the division:

First, calculate the division of the coefficients:

\[
\frac{2.967}{6.9} \approx 0.4301159420289855 \approx 0.4301 \text{ (keeping four significant figures)}
\]

Next, we divide the powers of ten:

Since there is no other power of ten in the denominator, we keep \(10^5\):

\[
\text{Area} \approx 0.4301 \times 10^5
\]

To express this in proper scientific notation, we convert \(0.4301\) into standard scientific notation:

\[
0.4301 = 4.301 \times 10^{-1}
\]

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

\[
\text{Area} = 4.301 \times 10^{-1} \times 10^5 = 4.301 \times 10^{4}
\]

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

\[
\boxed{4.301 \times 10^{4}}
\]

Answer 3

You're welcome! If you have any more questions or need further assistance, feel free to ask. Happy to help!