A feather weighs 0.0082 g. How many feathers would you need to make a weight of 4.1×10^3 g? Write the answer in scientific notation.
WHAT IS THE ANSWER PLEASEEEE
To find the number of feathers needed to make a weight of 4.1×10^3 g, we can divide the desired weight by the weight of a single feather:
Number of feathers = Weight / Weight of a feather
Number of feathers = (4.1×10^3 g) / (0.0082 g)
Number of feathers = 5×10^5
To find the number of feathers needed to make a weight of 4.1×10^3 g, divide the total weight by the weight of one feather:
Number of feathers = Total weight / Weight of one feather
Number of feathers = 4.1×10^3 g / 0.0082 g
Number of feathers = 500,000 g / 0.0082 g
Number of feathers ≈ 6.09756×10^7
Therefore, you would need approximately 6.09756×10^7 feathers to make a weight of 4.1×10^3 g.
To find the number of feathers needed to make a weight of 4.1×10^3 g, we can divide the total weight by the weight of one feather.
First, convert the weight of one feather to scientific notation:
0.0082 g = 8.2×10^-3 g
Now, divide the total weight by the weight of one feather:
4.1×10^3 g ÷ 8.2×10^-3 g
To divide numbers in scientific notation, divide the coefficients (4.1 ÷ 8.2) and subtract the exponents (10^3 - 10^-3).
4.1 ÷ 8.2 = 0.5
10^3 - (-3) = 10^6
Therefore, it would take 0.5×10^6 feathers to make a weight of 4.1×10^3 g.
Finally, write the answer in proper scientific notation:
0.5×10^6 can be written as 5.0×10^5.
Therefore, you would need 5.0×10^5 feathers to make a weight of 4.1×10^3 g.
A rectangular park has an area of 1.36×10^8 ft2 . The length of the park is 1.6×10^4 ft. Divide the area by the length to find the width of the park.
A. 8.5 * 10^2 ft.
B. 8.5 * 10^3 ft.
C. 8.5 * 10^4 ft.
D. 8.5 * 10^5 ft.
To find the width of the park, we divide the area by the length:
Width = Area / Length
Width = (1.36×10^8 ft^2) / (1.6×10^4 ft)
To divide numbers in scientific notation, divide the coefficients (1.36 ÷ 1.6) and subtract the exponents (10^8 - 10^4).
1.36 ÷ 1.6 = 0.85
10^8 - 10^4 = 10^4
Therefore, the width of the park is 0.85 * 10^4 ft.
In proper scientific notation, 0.85 * 10^4 can be written as 8.5 * 10^3.
Therefore, the width of the park is 8.5 * 10^3 ft.
The correct answer is B. 8.5 * 10^3 ft.
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.
A. 7*10^6
B. 0.7 * 10^6
C. 7 * 10^5
D. 0.7 * 10^5
To find out how many senior lunches the grant can provide, we divide the total grant amount by the cost per lunch:
Number of senior lunches = Total grant amount / Cost per lunch
Number of senior lunches = (1.925×10^6 dollars) / ($2.75 per lunch)
To divide numbers in scientific notation, divide the coefficients (1.925 ÷ 2.75) and subtract the exponents (10^6 - 0).
1.925 ÷ 2.75 ≈ 0.7
10^6 - 0 = 10^6
Therefore, the number of senior lunches that the grant can provide is approximately 0.7 * 10^6.
In proper scientific notation, 0.7 * 10^6 can be written as 7 * 10^5.
Therefore, the grant can provide 7 * 10^5 senior lunches.
The correct answer is C. 7 * 10^5.
Solomon needs to distribute 10.5 gallons of perfume among 3.5×10^2 containers. How many gallons of perfume will be in each container? Write the answer in scientific notation.
A. 3 * 10^-2
B. 3 * 10^2
C. 0.35 * 10^-1
D. 3 * 10^-1
To find out how many gallons of perfume will be in each container, we divide the total amount of perfume by the number of containers:
Amount of perfume per container = Total amount of perfume / Number of containers
Amount of perfume per container = 10.5 gallons / (3.5×10^2 containers)
To divide numbers in scientific notation, divide the coefficients (10.5 ÷ 3.5) and subtract the exponents (10^0 - 10^2).
10.5 ÷ 3.5 = 3
10^0 - 10^2 = 10^0 - 10^2 = 1 - 100 = -99
Therefore, the amount of perfume per container is 3 * 10^-99 gallons.
However, we typically write the answer in proper scientific notation, which means the coefficient should be between 1 and 10.
3 * 10^-99 can be rewritten as 3 * 10^-2 * 10^-97 ≈ 3 * 10^-2.
Therefore, there will be approximately 3 * 10^-2 gallons of perfume in each container.
The correct answer is A. 3 * 10^-2.