10. Division: 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.

Question

option 1: 3 x 10^2
option 2: 3 x 10 ^-2
option 3: 3 x 10 ^ -1
option 4: 0.35 x 10^ -1

Answer 1

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.

10.5 gallons / (3.5 × 10^2) containers

To simplify this expression, we can divide 10.5 by 3.5:

10.5 / 3.5 = 3

Now, we need to express this answer in scientific notation. Since 3 is already in the correct format, we add the 'x 10^2' to indicate the number of containers:

3 x 10^2

Therefore, the correct answer is option 1: 3 x 10^2.