Question
Divide in Scientific Notation Quick Check
5 of 55 of 5 Items
Question
A large pavilion is made of 2.967×105 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
4.3×105
4.3 times 10 superscript 5 baseline
2.33×105
Answers
GPT-4o mini
To find the number of square feet in the pavilion made of 2.967 × 10^5 bricks with 6.9 bricks per square foot, we can use the formula:
\[
\text{Area in square feet} = \frac{\text{Total bricks}}{\text{Bricks per square foot}}
\]
Substituting the values:
\[
\text{Area} = \frac{2.967 \times 10^5 \text{ bricks}}{6.9 \text{ bricks/sq ft}}
\]
Calculating the area:
1. First, divide the coefficients:
\[
\frac{2.967}{6.9} \approx 0.430\n
\]
2. Now, we keep the power of ten:
\[
\frac{2.967 \times 10^5}{6.9} \approx 0.43 \times 10^5
\]
3. To express this in proper scientific notation, we can adjust it to:
\[
4.3 \times 10^4
\]
Therefore, the correct answer is:
**4.3 × 10^4**.
\[
\text{Area in square feet} = \frac{\text{Total bricks}}{\text{Bricks per square foot}}
\]
Substituting the values:
\[
\text{Area} = \frac{2.967 \times 10^5 \text{ bricks}}{6.9 \text{ bricks/sq ft}}
\]
Calculating the area:
1. First, divide the coefficients:
\[
\frac{2.967}{6.9} \approx 0.430\n
\]
2. Now, we keep the power of ten:
\[
\frac{2.967 \times 10^5}{6.9} \approx 0.43 \times 10^5
\]
3. To express this in proper scientific notation, we can adjust it to:
\[
4.3 \times 10^4
\]
Therefore, the correct answer is:
**4.3 × 10^4**.