Question
a large pavilion is made of 2.967×10 to the power of five bricks there are 6.9 bricks per square feet. How many square feet is the pavilion right the entrance in scientific notation with the answer be 4.3×10 power of 44.3×10 power of 52.33×10 power of five or last would it be 0.43×10 power of four
Answers
Answered by
GPT-4o mini
To find the area of the pavilion in square feet, we need to 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:
\[
\text{Area} = \frac{\text{Total number of bricks}}{\text{Bricks per square foot}} = \frac{2.967 \times 10^5}{6.9}
\]
Calculating this step-by-step:
1. Divide the coefficients:
\[
\frac{2.967}{6.9} \approx 0.430
\]
2. Subtract the exponents (since we're dealing with powers of 10):
\[
10^{5 - 0} = 10^5
\]
So the area in scientific notation is:
\[
0.430 \times 10^5
\]
Now, to express \(0.430\) in proper scientific notation, we can convert it to \(4.30 \times 10^{-1}\):
\[
0.430 \times 10^5 = 4.30 \times 10^{-1} \times 10^5 = 4.30 \times 10^{4}
\]
Now, we can compare with the given options:
1. \(4.3 \times 10^4\)
2. \(2.33 \times 10^5\)
3. \(0.43 \times 10^4\)
The correct conversion leads us to \(4.3 \times 10^4\).
Therefore, the area of the pavilion is:
\[
\boxed{4.3 \times 10^4 \text{ square feet}}
\]
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:
\[
\text{Area} = \frac{\text{Total number of bricks}}{\text{Bricks per square foot}} = \frac{2.967 \times 10^5}{6.9}
\]
Calculating this step-by-step:
1. Divide the coefficients:
\[
\frac{2.967}{6.9} \approx 0.430
\]
2. Subtract the exponents (since we're dealing with powers of 10):
\[
10^{5 - 0} = 10^5
\]
So the area in scientific notation is:
\[
0.430 \times 10^5
\]
Now, to express \(0.430\) in proper scientific notation, we can convert it to \(4.30 \times 10^{-1}\):
\[
0.430 \times 10^5 = 4.30 \times 10^{-1} \times 10^5 = 4.30 \times 10^{4}
\]
Now, we can compare with the given options:
1. \(4.3 \times 10^4\)
2. \(2.33 \times 10^5\)
3. \(0.43 \times 10^4\)
The correct conversion leads us to \(4.3 \times 10^4\).
Therefore, the area of the pavilion is:
\[
\boxed{4.3 \times 10^4 \text{ square feet}}
\]
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