A rectangular park has an area of 1.36×10^8 ft^2 . The length of the park is 1.6×10^4 ft. Divide the area by the length to find the width of the park.(1 point)
Responses
8.5×10^4 ft.
8.5 times 10 superscript 4 baseline ft.
8.5×10^2 ft.
8.5 times 10 squared ft.
8.5×10^3 ft.
8.5 times 10 cubed ft.
8.5×10^5 ft.
Divide 3.3×10^4 by 5.5×10^7
.(1 point)
Responses
6×10^−3
6 times 10 to the negative 3 power
6×10^−4
6 times 10 to the negative 4 power
6×10^−6
6 times 10 to the negative 6 power
6×10^−5
To divide numbers written in scientific notation, divide the coefficients and subtract the exponents:
(3.3×10^4) / (5.5×10^7)
Dividing the coefficients: 3.3 / 5.5 = 0.6
Subtracting the exponents: 10^(4-7) = 10^(-3)
Therefore, the result is 0.6×10^-3, which can also be written as 6×10^-4.
So, the answer is 6×10^-4.
A city lunch program for seniors received a grant of 1.925×10^6 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)
Responses
7×10^5
7 times 10 superscript 5 baseline
7×10^6
7 times 10 superscript 6 baseline
0.7×10^5
0.7 times 10 superscript 5 baseline
0.7×10^6
To find out how many senior lunches can be provided with the grant, we need to divide the total grant amount by the cost per lunch.
Grant amount = 1.925×10^6 dollars
Cost per lunch = $2.75
Number of senior lunches = Grant amount / Cost per lunch
Number of senior lunches = (1.925×10^6 dollars) / ($2.75)
Dividing the coefficients: 1.925 / 2.75 ≈ 0.7
Subtracting the exponent of 10: 10^(6-6) = 10^0 = 1
Therefore, the result is 0.7×10^0, which simplifies to 0.7.
So, the grant can provide 0.7 senior lunches.
choose a answer chice
Solomon needs to distribute 10.5 gallons of perfume among 3.5×102 containers. How many gallons of perfume will be in each container? Write the answer in scientific notation.(1 point)
Responses
3×10−2
3 times 10 negative squared
3×10−1
3 times 10 superscript negative 1 baseline
3×102
3 times 10 squared
0.35×10−1
To find how many gallons of perfume will be in each container, we need to divide the total amount of perfume by the number of containers.
Total amount of perfume = 10.5 gallons
Number of containers = 3.5×10^2 containers
Gallons of perfume per container = Total amount of perfume / Number of containers
Gallons of perfume per container = (10.5 gallons) / (3.5×10^2 containers)
Dividing the coefficients: 10.5 / 3.5 ≈ 3
Subtracting the exponents: 10^(0-2) = 10^(-2)
Therefore, the result is 3×10^-2, which can be simplified to 3×10^(-2).
So, there are 3×10^(-2) gallons of perfume in each container.
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
4.3×104
4.3 times 10 superscript 4 baseline
4.3×105
4.3 times 10 superscript 5 baseline
2.33×105
2.33 times 10 superscript 5 baseline
0.43×104
0.43 times 10 superscript 4 baseline
To find out how many square feet the pavilion is, we need to divide the number of bricks by the number of bricks per square foot.
Number of bricks = 2.967×10^5
Bricks per square foot = 6.9
Square feet of pavilion = Number of bricks / Bricks per square foot
Square feet of pavilion = (2.967×10^5) / (6.9)
Dividing the coefficients: 2.967 / 6.9 ≈ 0.43
Subtracting the exponent: 10^(5-0) = 10^5
Therefore, the result is 0.43×10^5, which can be simplified to 4.3×10^4.
So, the pavilion has an area of 4.3×10^4 square feet.
To find the width of the park, we need to divide the area of the park by the length.
Area of the park = 1.36×10^8 ft^2
Length of the park = 1.6×10^4 ft
Width = Area / Length
Width = (1.36×10^8 ft^2) / (1.6×10^4 ft)
Simplifying the expression, we can divide the coefficients and subtract the exponents:
Width = 8.5×10^4 ft
Therefore, the width of the park is 8.5×10^4 ft.