Divide in Scientific Notation Quick Check

Question

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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

Answer 1

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.