Question

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

3×10−2
3 times 10 negative squared

0.35×10−1
0.35 times 10 superscript negative 1 baseline

3×102
3 times 10 squared

3×10−1

Answer 1

To determine how many gallons of perfume will be in each container, we need to divide the total amount of perfume by the number of containers.

Solomon has:

- Total perfume = 10.5 gallons
- Number of containers = \( 3.5 \times 10^2 \) containers

Now we perform the division:

\[
\text{Gallons per container} = \frac{10.5 \text{ gallons}}{3.5 \times 10^2}
\]

First, calculate \( \frac{10.5}{3.5} \):

\[
\frac{10.5}{3.5} = 3
\]

Now we can express the calculation as:

\[
\frac{10.5}{3.5 \times 10^2} = \frac{3}{10^2}
\]

Next, we can rewrite \( \frac{3}{10^2} \) in scientific notation:

\[
\frac{3}{10^2} = 3 \times 10^{-2}
\]

Therefore, each container will hold \( 3 \times 10^{-2} \) gallons of perfume.

The answer in scientific notation is:

**3×10−2**