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.
-
Convert the number of containers: \[ 3.5 \times 10^2 = 3.5 \times 100 = 350 \]
-
Now we divide the total gallons of perfume by the number of containers: \[ \frac{10.5 \text{ gallons}}{350 \text{ containers}} = \frac{10.5}{350} \]
-
Simplifying the division: \[ \frac{10.5}{350} = 0.03 \]
-
Now, we need to express 0.03 in scientific notation: \[ 0.03 = 3.0 \times 10^{-2} \]
So, the amount of perfume in each container, in scientific notation, is: \[ \boxed{3 \times 10^{-2}} \]
1 answer