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. (1 point)
3 × 10^2
0.35 × 10^−1
3 × 10^−2
3 × 10^−1
To find the number of gallons of perfume in each container, we need to divide the total amount of perfume (10.5 gallons) by the number of containers (3.5 × 10^2).
10.5 gallons ÷ (3.5 × 10^2) = 3 × (10.5 ÷ 3.5) × 10^(2 - 2) = 3 × (3) × 10^0 = 9 gallons
Therefore, the answer is 3 × 10^0, which in scientific notation is 3.
To find out how many gallons of perfume will be in each container, we need to divide the total amount of perfume (10.5 gallons) by the number of containers (3.5 × 10^2).
First, let's convert 3.5 × 10^2 into standard form:
3.5 × 10^2 = 350
Now we can calculate the amount of perfume in each container:
10.5 gallons ÷ 350 containers = 0.03 gallons
However, we need to express this answer in scientific notation.
0.03 gallons can be written as 3 × 10^(-2).
So, the answer is 3 × 10^(-2) in scientific notation.
To find out how many gallons of perfume will be in each container, you can divide the total amount of perfume (10.5 gallons) by the number of containers (3.5 × 10^2).
First, convert 3.5 × 10^2 to standard notation:
3.5 × 10^2 = 350
Then, divide 10.5 gallons by 350:
10.5 gallons / 350 = 0.03 gallons
Now, we need to convert 0.03 gallons to scientific notation.
Since the decimal point has to move two places to the right to become 3, we need to use a positive exponent.
0.03 gallons = 3 × 10^−2
Therefore, the answer in scientific notation is 3 × 10^−2.