A large pavilion is made of 2.967 x 10^5 bricks. There are 6.9 bricks per square foot. How many square feet is the pavilion? Write the answer in scientific notation. (1 point)
• 0.43 × 10^4
• 4.3 × 10^5.
• 4.3 × 10^4
• 2.33 x 10^5
To find the number of square feet in the pavilion, we can divide the total number of bricks by the number of bricks per square foot.
2.967 x 10^5 bricks / 6.9 bricks per square foot
Using scientific notation, this can be written as:
2.967 x 10^5 / 6.9 x 10^0
When dividing numbers in scientific notation, we subtract the exponents:
= (2.967/6.9) x 10^(5-0)
= 0.429 x 10^5
0.429 can be written as 4.29 x 10^(-1) in scientific notation.
Therefore, the answer is:
4.29 x 10^(-1) x 10^5
= 4.29 x 10^(5-1)
= 4.29 x 10^4
So the correct answer is:
• 4.3 × 10^4
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.
Dividing 2.967 x 10^5 bricks by 6.9 bricks per square foot gives:
(2.967 x 10^5) / 6.9 = (2.967 / 6.9) x 10^(5-1) = 0.4295 x 10^5
This can be written in scientific notation as 4.295 x 10^4.
Therefore, the correct answer is:
• 4.3 × 10^4
To find the number of square feet in the pavilion, you can divide the total number of bricks by the number of bricks per square foot.
First, let's represent the given quantities in scientific notation:
Total number of bricks: 2.967 x 10^5
Number of bricks per square foot: 6.9
To find the square footage, divide the total number of bricks by the number of bricks per square foot:
Square footage = Total number of bricks / Number of bricks per square foot
Square footage = (2.967 x 10^5) / 6.9
Now, divide the numbers and subtract the exponents:
Square footage = 2.967 / 6.9 x 10^5 / 10^0
Square footage = 0.430 x 10^5
Therefore, the square footage of the pavilion is 0.430 x 10^5. In scientific notation, this can be written as:
0.43 x 10^4 (option 1)