sSolomon needs to distribute 10.5 gallons of perfume among 3.5x10^2 containers. How many gallons of perfume will be in each container? Write the answer in scientific notation.
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 (3.5x10^2).
10.5 gallons ÷ (3.5x10^2) containers
To simplify the solution, we divide the numerator and denominator separately:
10.5 ÷ 3.5 = 3
10^1 ÷ (3.5x10^2) = (10^1)/(3.5x10^2) = 10^(1-2) = 10^-1 = 0.1
So, the amount of perfume in each container is 3.0 x 10^-1 gallons, in scientific notation.
To find out how many gallons of perfume will be in each container, we can divide the total amount of perfume by the number of containers.
Total amount of perfume = 10.5 gallons
Number of containers = 3.5 x 10^2 containers
Dividing the total amount of perfume by the number of containers:
10.5 gallons / (3.5 x 10^2 containers) = 10.5 / 3.5 x 10^2 = 3 gallons
Therefore, there will be 3 gallons of perfume in each container. In scientific notation, it can be written as 3 x 10^0 gallons per container.
To determine the number of gallons of perfume in each container, we can divide the total amount of perfume by the number of containers.
We are given that the total amount of perfume is 10.5 gallons, and the number of containers is 3.5x10^2.
To divide 10.5 by 3.5x10^2, we can divide the numerical parts separately and subtract the exponents:
10.5 ÷ 3.5 = 3
And the exponent subtraction:
10^0 ÷ 10^2 = 10^(0-2) = 10^(-2)
So, the answer is 3.0x10^(-2) gallons of perfume in each container in scientific notation.