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 2.33×105 2.33 times 10 superscript 5 baseline 0.43×104 0.43 times 10 superscript 4 baseline 4.3×105 4.3 times 10 superscript 5 baseline 4.3×104

Answer 1

To find the area in square feet of the pavilion, 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

Now, let's calculate the area in square feet:

\[ \text{Area} = \frac{\text{Total number of bricks}}{\text{Bricks per square foot}} = \frac{2.967 \times 10^5}{6.9} \]

Calculating the division:

1. Divide the coefficients: \[ \frac{2.967}{6.9} \approx 0.4301 \]

2. Adjust for scientific notation: Since we want to express the final answer in scientific notation, we write \(0.4301\) as \(4.301 \times 10^{-1}\) and then combine it with \(10^5\):

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

3. Combine the exponents: \[ = 4.301 \times 10^{5 - 1} = 4.301 \times 10^4 \]

Thus, the area of the pavilion in scientific notation is:

\[ 4.3 \times 10^4 \]

Hence, the correct response is: 4.3×10^4.