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 out how many gallons of perfume will be in each container, we can divide the total amount of perfume (10.5 gallons) by the number of containers (3.5 × 10^2 containers).
10.5 gallons / (3.5 × 10^2 containers)
This can be simplified by cancelling out the factor of 10^2 in the denominator:
10.5 gallons / 3.5 = 3 gallons
Therefore, there will be 3 gallons of perfume in each container.
In scientific notation, this is represented as 3 × 10^0.
So the correct answer is:
3 × 10^0
To find out how many gallons of perfume will be in each container, we can divide the total gallons of perfume by the number of containers.
10.5 gallons ÷ 3.5 × 10^2 = 3 × 10^−1
Therefore, the answer is "3 × 10^−1".
To find out how many gallons of perfume will be in each container, you need to divide the total amount of perfume (10.5 gallons) by the number of containers (3.5 x 10^2).
First, we can ignore the scientific notation and divide 10.5 by 350 (since 3.5 x 10^2 equals 350).
10.5 / 350 = 0.03
Since we're dealing with scientific notation, we want the answer to be written in a number between 1 and 10, multiplied by 10 raised to a certain power. In this case, 0.03 is less than 1, so to bring it into the correct range, we will multiply it by 10 and reduce the exponent by 1.
0.03 * 10^1 = 0.3 * 10^0
Finally, we can write the answer in scientific notation:
3 x 10^-1
So, the answer is 3 x 10^-1 gallons of perfume in each container.