Solomon needs to distribute 10.5 gallons of perfume among 3.5 x 10^2 containers. How many gallons of perfume will be in each container? Write the answer in scientific notation. (1 point)
• 0.35 × 10^-1
• 3 × 10^2
• 3 × 10^-1
• 3 × 10^-2
To find out how many gallons of perfume will be in each container, we divide the total amount of perfume by the number of containers.
10.5 gallons ÷ (3.5 x 10^2 containers) = 0.03 gallons/container
As the result is less than 1, we can simplify it by moving the decimal point one place to the right and adjusting the exponent of 10 accordingly:
0.03 = 3 × 10^-2
Therefore, the answer is: 3 × 10^-2.
To find out how many gallons of perfume will be in each container, we can divide the total amount of perfume (10.5 gallons) by the number of containers (3.5 x 10^2).
10.5 gallons / 3.5 x 10^2 containers
To divide two numbers written in scientific notation, we divide the decimal parts and subtract the exponents:
= 10.5 / 3.5 x 10^2
= 3 / 1 x 10^(2-1)
= 3 x 10^1
Therefore, the answer is 3 × 10^1 in scientific notation.
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.
The total amount of perfume is given as 10.5 gallons.
The number of containers is given as 3.5 × 10^2.
To divide these two values, we can use the properties of exponents. When dividing numbers in scientific notation, we subtract the exponents.
10.5 gallons ÷ (3.5 × 10^2 containers)
Now, divide the number part:
10.5 ÷ 3.5 = 3
Subtract the exponents:
10^0 ÷ 10^2 = 10^(0-2) = 10^-2
Now, we have 3 × 10^-2 gallons as the answer. So the correct option is:
• 3 × 10^-2