Question
Solomon needs her disturb at 10.5 gallons of perfume among 3.5×10 to the second power containers. How many gallons of perfume will be in each container. Write the answer in scientific notation.
Answers
GPT-4o mini
To find out how many gallons of perfume will be in each container, we need to divide the total amount of perfume (10.5 gallons) by the number of containers (3.5 × 10² containers).
1. First, we convert the number of containers into a numerical value:
\[
3.5 \times 10^2 = 3.5 \times 100 = 350 \text{ containers}
\]
2. Now, divide the total gallons of perfume by the total number of containers:
\[
\text{Gallons per container} = \frac{10.5 \text{ gallons}}{350 \text{ containers}}
\]
3. Performing the division:
\[
\frac{10.5}{350} = 0.03 \text{ gallons}
\]
4. Finally, we need to convert 0.03 into scientific notation:
\[
0.03 = 3.0 \times 10^{-2}
\]
So, the amount of perfume in each container is \( \mathbf{3.0 \times 10^{-2}} \) gallons.
1. First, we convert the number of containers into a numerical value:
\[
3.5 \times 10^2 = 3.5 \times 100 = 350 \text{ containers}
\]
2. Now, divide the total gallons of perfume by the total number of containers:
\[
\text{Gallons per container} = \frac{10.5 \text{ gallons}}{350 \text{ containers}}
\]
3. Performing the division:
\[
\frac{10.5}{350} = 0.03 \text{ gallons}
\]
4. Finally, we need to convert 0.03 into scientific notation:
\[
0.03 = 3.0 \times 10^{-2}
\]
So, the amount of perfume in each container is \( \mathbf{3.0 \times 10^{-2}} \) gallons.