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)
Responses
3×102
3 times 10 squared
3×10−1
3 times 10 superscript negative 1 baseline
3×10−2
3 times 10 negative squared
0.35×10−1
To find out how many gallons of perfume will be in each container, we need to divide the total volume of perfume (10.5 gallons) by the number of containers (3.5x10^2).
10.5 gallons / 3.5x10^2 containers
This can be simplified by dividing 10.5 by 3.5:
10.5 / 3.5 = 3
Then, we express the power of 10 raised to 2 as a regular number:
3.5x10^2 = 350
Therefore, the answer is 3 gallons of perfume in each container. In scientific notation, this can be written as:
3x10^0 = 3x1 = 3
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. In this case, Solomon needs to distribute 10.5 gallons of perfume among 3.5 × 10^2 containers.
To divide, we can simply divide the numbers in front and subtract the exponents of 10.
10.5 ÷ 3.5 = 3
10^2 ÷ 10^0 = 10^2-0 = 10^2
So, we have 3 × 10^2 gallons of perfume in each container.
In scientific notation, we write this as 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 (10.5 gallons) by the number of containers (3.5×10^2).
To divide the numbers in scientific notation, you can simply subtract the exponents.
The exponent in the denominator is 2, so you subtract 2 from the exponent in the numerator (0) to get:
10.5 / 3.5×10^2 = 10.5 / (3.5 × 10^2) = 10.5 / (3.5 × 100) = 10.5 / 350
Now, divide 10.5 by 350:
10.5 / 350 = 0.03
Therefore, the answer in scientific notation is 0.03×10^0, which can also be written as 3×10^-2.