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)
a. 3 × 10^2
b. 0.35 × 10^−1
c. 3 × 10^−2
d. 3 × 10^−1
To find out how many gallons of perfume will be in each container, divide the total amount of perfume (10.5 gallons) by the number of containers (3.5 × 10^2).
The calculation is as follows:
10.5 gallons / (3.5 × 10^2 containers) = 3 × 10^−2 gallons.
So the answer is c. 3 × 10^−2.
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 × 10^2 containers).
10.5 gallons ÷ (3.5 × 10^2 containers)
First, we can simplify 3.5 × 10^2 = 350 (since 3.5 multiplied by 10^2 is equal to 350).
Now, we divide 10.5 gallons by 350 containers:
10.5 gallons ÷ 350 = 0.03 gallons
Therefore, each container will contain 0.03 gallons of perfume.
To write the answer in scientific notation, we need to express 0.03 as a decimal multiplied by a power of 10.
0.03 = 3 × 10^−2
Therefore, the answer is c. 3 × 10^−2.
To find out how many gallons of perfume will be in each container, you need to divide the total amount of perfume by the number of containers.
Given that Solomon needs to distribute 10.5 gallons of perfume among 3.5 × 10^2 containers, you can express this mathematically as:
10.5 gallons ÷ (3.5 × 10^2 containers)
To simplify, divide the gallons by the number of containers:
10.5 ÷ 3.5 × 10^2
Now, divide 10.5 by 3.5 to get the numerical answer:
= 3 × 10^2
Therefore, the correct answer in scientific notation is option a) 3 × 10^2 gallons.