Solomon needs to distribute 10.5 gallons of perfume among 3.5 × 10² containers. How many gallons of perfume will be in each container? Write the answer in scientific notation.
To find the amount of perfume in each container, we need to divide the total amount of perfume by the number of containers.
10.5 gallons / (3.5 × 10² containers) = 3 gallons/ container
The answer in scientific notation is 3 × 10^0 gallons/ container.
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.
Step 1: Divide the total amount of perfume (10.5 gallons) by the number of containers (3.5 × 10²).
10.5 gallons ÷ (3.5 × 10²) containers
Step 2: Divide the numeric part of the total amount of perfume by the numeric part of the number of containers.
10.5 ÷ 3.5 = 3
Step 3: Divide the exponent of the total amount of perfume by the exponent of the number of containers (subtract the exponents).
10² - 2 = 0
Step 4: Rewrite the answer in scientific notation.
3 × 10^0
Since any number raised to the power of 0 is 1, the final answer is:
3 × 1 = 3
Therefore, each container will have 3 gallons of perfume.
To find out how many gallons of perfume will be in each container, we need to divide the total amount of perfume by the number of containers.
Total amount of perfume = 10.5 gallons
Number of containers = 3.5 × 10² containers
Dividing the total amount of perfume by the number of containers gives us:
10.5 gallons / (3.5 × 10²) containers
To simplify the expression, we divide the numerator and denominator by 3.5:
10.5 / 3.5 = 3 gallons
Dividing 10.5 gallons by 3.5 gives us 3 gallons.
So, there will be 3 gallons of perfume in each container.
Writing the answer in scientific notation, 3 gallons can be written as 3.0 × 10¹ gallons.