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.(1 point)
Responses
3×10−1
3 times 10 superscript negative 1 baseline
3×102
3 times 10 squared
0.35×10−1
0.35 times 10 superscript negative 1 baseline
3×10−2
3×10−2
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.
10.5 gallons ÷ (3.5 × 10^2) containers
This can be written in scientific notation as:
1.05 × 10^1 gallons ÷ (3.5 × 10^2) containers
To simplify the expression, we can divide 1.05 by 3.5:
(1.05 ÷ 3.5) × 10^1 gallons ÷ 10^2 containers
0.3 × 10^1 gallons ÷ 10^2 containers
Finally, simplifying the scientific notation, we have:
0.3 × 10^(-1) gallons per container
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.
The total amount of perfume is 10.5 gallons, and the number of containers is 3.5 × 10^2.
To divide the total amount of perfume by the number of containers, you can simply divide 10.5 by 3.5, which gives you:
10.5 / 3.5 = 3 gallons
Now, to write the answer in scientific notation, you need to represent 3 gallons with a single digit followed by a power of 10. Since 3 is already a single digit, you can represent it as 3 × 10^0.
Therefore, the answer in scientific notation is 3 × 10^0 gallons per container.