10. Division: 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.
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1 point
3 x 10^2
3 x 10 ^-2
3 x 10 ^ -1
0.35 x 10^ -1
To find the amount of perfume in each container, we divide the total amount of perfume (10.5 gallons) by the number of containers (3.5 x 10^2).
10.5 / (3.5 x 10^2)
To divide by 3.5 x 10^2, we can divide by 3.5 and then multiply by 10^2, which is equivalent to moving the decimal point 2 places to the left.
10.5 / 3.5 = 3
Moving the decimal point 2 places to the left, we get:
3 x 10^0
However, in scientific notation, the exponent should be positive, so we move the decimal point 0 places to the left:
3 x 10^0 = 3 x 1 = 3
Therefore, the answer is 3 x 10^0.