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.
To find the number of gallons of perfume in each container, we divide the total amount of perfume by the number of containers: $10.5 \text{ gallons} \div (3.5 \times 10^2) \text{ containers}$. Dividing $10.5$ by $3.5$ gives $3$. Dividing $10^0$ by $10^2$ gives $10^{-2}$. Thus, the answer is $3 \times 10^{-2}$, or $\boxed{0.03}$ gallons in each container.
