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
0.35×10−1
0.35 times 10 superscript negative 1 baseline
3×102
3 times 10 squared
3×10−1
3 times 10 superscript negative 1 baseline
3×10−2
3×10−2
To find the number of gallons of perfume that will be in each container, we divide the total amount of perfume (10.5 gallons) by the number of containers (3.5×10^2). The answer can be written in scientific notation as 3×10^0 gallons of perfume in each container. However, we can simplify this further by recognizing that any number multiplied by 10^0 is itself. Therefore, the final answer is 3 gallons of perfume in each container.
To find the number of gallons of perfume in each container, we need to divide the total gallons of perfume (10.5) by the number of containers (3.5×10^2).
To do this, we perform the division:
10.5 / (3.5×10^2)
Dividing 10.5 by 3.5 gives us 3, and dividing 10^2 by 10^2 gives us 1.
So the answer is 3 times 1, or simply 3.
To write the answer in scientific notation, we express it as:
3×10^0
Since anything raised to the power of 0 is equal to 1, we can simplify it to:
3×1
And finally, the answer in scientific notation is:
3×10^0