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 form. (1 point)

1 answer

To find out how many gallons of perfume will be 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).

  1. First, convert the total number of containers into a numerical value: \[ 3.5 \times 10^2 = 3.5 \times 100 = 350 \text{ containers} \]

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

  3. Performing the division: \[ \frac{10.5}{350} = 0.03 \]

  4. Now, we need to convert 0.03 into scientific notation. In scientific notation, 0.03 can be expressed as: \[ 3.0 \times 10^{-2} \]

Thus, the amount of perfume in each container is \( \boxed{3.0 \times 10^{-2}} \) gallons.