Divide in Scientific Notation Quick Check

Question

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

4.3×105
4.3 times 10 superscript 5 baseline

4.3×104
4.3 times 10 superscript 4 baseline

0.43×104
0.43 times 10 superscript 4 baseline

2.33×105
2.33 times 10 superscript 5 baseline
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Answer 1

To find the number of square feet in the pavilion, we need to divide the total number of bricks by the number of bricks per square foot.

Given:

• Total bricks = \( 2.967 \times 10^5 \)
• Bricks per square foot = \( 6.9 \)

We can set up the calculation as follows:

\[ \text{Area in square feet} = \frac{2.967 \times 10^5 \text{ bricks}}{6.9 \text{ bricks/sq ft}} \]

Now, perform the division mathematically:

1. Divide the numerical coefficients:

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

\]

2. Now apply the scientific notation rule:

\[ \frac{10^5}{1} = 10^5 \]

So, we have:

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

To express this in proper scientific notation, we convert \(0.430\) to \(4.3\) by adjusting the exponent:

\[ 0.430 \times 10^5 = 4.3 \times 10^4 \]

Thus, the area of the pavilion in square feet is \(4.3 \times 10^4\).

The correct answer is:

4.3×10⁴