Question

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

Answer 1

To find out how many gallons of perfume will be in each container, we divide the total amount of perfume by the total number of containers:

10.5 gallons / (3.5 × 10^2 containers)

Simplifying the expression, we divide 10.5 by 3.5:

= 3 gallons / 10^2 containers

Since "10^2" means 10 multiplied by itself two times (10 * 10 = 100), we have:

= 3 gallons / 100 containers

Thus, each container will have 0.03 gallons of perfume.

Writing the answer in scientific notation:

0.03 gallons = 3 × 10^-2 gallons

Therefore, each container will have 3 × 10^-2 gallons of perfume.