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)

Answer 1

To find out how many gallons of perfume will be in each container, you need to divide the total gallons of perfume by the total number of containers.

Given:

• Total gallons of perfume = 10.5 gallons
• Number of containers = \( 3.5 \times 10^2 \) containers

First, let's calculate the number of containers: \[ 3.5 \times 10^2 = 3.5 \times 100 = 350 \text{ containers} \]

Now divide the total gallons of perfume by the number of containers: \[ \text{Gallons per container} = \frac{10.5 \text{ gallons}}{350 \text{ containers}} \]

To perform the division: \[ \frac{10.5}{350} = 0.03 \text{ gallons per container} \]

Next, we need to convert \(0.03\) into scientific notation. We can express \(0.03\) as: \[ 0.03 = 3.0 \times 10^{-2} \]

So, the amount of perfume in each container in scientific notation is: \[ \boxed{3.0 \times 10^{-2}} \text{ gallons} \]