A rectangular park has an area of 1.36 x 10° ft?. The length of the park is 1.6 x 10* ft. Divide the area by the length to find the width of the park. (1 point)
• 8.5 × 104 f
• 8.5 × 10° f.
• 8.5 × 103 ft.
• 8.5 × 105 ft.
1. D 8.5x10^3
2. A 6x10^-4
3. B 7x10^5
4. B 3x10^-2
5. A 4.3x10^4
To find the width of the park, we need to divide the area by the length:
Width = Area / Length
Using the given values:
Width = (1.36 x 10^0 ft²) / (1.6 x 10^* ft)
To divide two numbers in scientific notation, we subtract the exponents of the powers of 10 and divide the coefficients:
Width = (1.36 / 1.6) x 10^(0-*) ft
Simplifying the coefficients:
Width = 0.85 x 10^(0-*) ft
Since anything raised to the power of zero is 1, we have:
Width = 0.85 x 10^-* ft
This can be written as:
Width = 8.5 x 10^-*(10 ft)
Multiplying by 10 ft, we get:
Width = 8.5 x 10^(-*+1) ft
Therefore, the width of the park is 8.5 x 10 ft.
The correct answer is:
• 8.5 × 10 ft.
divide 3.3 c 10^4 by 5.5 x 10^7
To divide two numbers in scientific notation, we divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
In this case, we have:
(3.3 x 10^4) / (5.5 x 10^7)
Dividing the coefficients, we get:
(3.3 / 5.5) x 10^(4-7)
Simplifying the coefficients, we have:
0.6 x 10^(-3)
The coefficient 0.6 can be written as 6 x 10^(-1), so we have:
6 x 10^(-1) x 10^(-3)
When we multiply two numbers in scientific notation, we add the exponents and multiply the coefficients. So we have:
6 x 10^(-1 - 3) = 6 x 10^(-4)
Therefore, the result of dividing (3.3 x 10^4) by (5.5 x 10^7) is:
6 x 10^(-4)
A city lunch program for seniors received a grant of 1.925 x 10° dollars. Divide that figure by the cost of $2.75 per lunch to find out how many senior lunches the grant can provide. Write the answer in scientific notation. (1 point)
• 0.7 × 105
• 7 × 105
• 7 × 10€
• 0.7 × 10€
A city lunch program for seniors received a grant of 1.925 x 10° dollars. Divide that figure by the cost of $2.75 per lunch to find out how many senior lunches the grant can provide. Write the answer in scientific notation. (1 point)
0.7 × 10^-1
• 7 × 10^-1
• 7 × 10^-2
• 0.7 × 10^2
A large pavilion is made of 2.967 x 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)
• 4.3 × 10^4
• 2.33 × 10^5
• 4.3 × 10^5
O 0.43 x 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.
Total number of bricks = 2.967 x 10^5 bricks
Number of bricks per square foot = 6.9
Number of square feet = Total number of bricks / Number of bricks per square foot
Number of square feet = (2.967 x 10^5 bricks) / (6.9 bricks/square foot)
Dividing the coefficients, we get:
Number of square feet = (2.967 / 6.9) x 10^(5-0)
Simplifying the coefficients, we have:
Number of square feet = 0.43 x 10^5
Since anything multiplied by 10^5 can be written as 10^5 times that number, we have:
Number of square feet = 4.3 x 10^4
Therefore, the pavilion has an area of 4.3 x 10^4 square feet.
The correct answer is:
• 4.3 × 10^4