Solomon needs to distribute 10.5 gallons of perfume among 3.5 x 10^2 containers. How many gallons of perfume will be in each container? Write the answer in scientific notation.
1. 3 x 10^-2
2. 3 x 10^2
3. 3 x 10^-1
4. 0.35 x 10^-1
To find the amount of perfume in each container, we need to divide the total amount of perfume (10.5 gallons) by the number of containers (3.5 x 10^2).
10.5 gallons ÷ (3.5 x 10^2) containers = (10.5 ÷ 3.5) gallons ÷ (10^2) containers
(10.5 ÷ 3.5) gallons = 3 gallons
Therefore, there will be 3 gallons of perfume in each container.
The answer is not provided in scientific notation, but it would be 3 x 10^0 since 3 can be expressed as 3 x 10^0.
To find out how many gallons of perfume will be in each container, you need to divide the total amount of perfume by the number of containers.
In this case, Solomon has 10.5 gallons of perfume and 3.5 x 10^2 containers.
To divide these numbers, you divide the total amount of perfume by the number of containers:
10.5 gallons / (3.5 x 10^2 containers)
First, divide 10.5 by 3.5 to get the number of gallons per container without considering the scientific notation:
10.5 gallons / 3.5 = 3 gallons
Next, consider the scientific notation. We have to multiply the 3 gallons by 10^2 to account for the number of containers:
3 gallons x 10^2 = 300 gallons
So, the answer is 3 x 10^2 gallons.
Therefore, the correct option is #2 - 3 x 10^2.
which answer is it?
Apologies for the confusion. The correct answer is indeed option #2 - 3 x 10^2 gallons.
To find the number of gallons of perfume in each container, we can divide the total amount of perfume by the number of containers. In this case, we have 10.5 gallons of perfume and 3.5 x 10^2 containers.
To perform the division, we can divide the numbers in scientific notation separately.
Dividing 10.5 (written as 1.05 x 10^1) by 3.5 gives us:
1.05 x 10^1 / 3.5 = 0.3 x 10^1 = 3 x 10^0 = 3.
Therefore, each container will have 3 gallons of perfume.
So, the answer is 3 x 10^0.