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.
A. 3 × 10^-²
B. 3 × 10²
C. 0.35 × 10^-¹
3 × 10^-¹
To find the number of gallons of perfume in each container, divide the total amount of perfume by the number of containers:
10.5 gallons / (3.5 × 10² containers)
This can be written in scientific notation as:
(3 × 10^1 gallons) / (3.5 × 10² containers)
Simplifying further:
(3/3.5) * (10^1 / 10²) gallons/containers
0.857 * 10^-1 gallons/containers
Written in scientific notation, this is:
0.857 × 10^-¹ gallons/containers
Therefore, the answer is:
C. 0.35 × 10^-¹
To find out how many gallons of perfume will be in each container, you need to divide the total amount of perfume (10.5 gallons) by the number of containers (3.5 × 10²).
To do this, you can simply divide the numbers and subtract the exponents:
10.5 gallons / (3.5 × 10² containers) = 3 gallons / (10² containers)
However, the answer needs to be in scientific notation. To convert the answer to scientific notation, you should express it as a number between 1 and 10 multiplied by a power of 10.
In this case, you can write the answer as:
3 × 10² gallons / containers
Therefore, the correct answer is B. 3 × 10².
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 × 10²).
10.5 gallons ÷ (3.5 × 10²) = 10.5 ÷ 3.5 × 10² = (10.5 ÷ 3.5) × 10² = 3 × 10²
Therefore, the answer is B. 3 × 10².