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.

1 answer

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.