Question

Divide in Scientific Notation Quick Check
4 of 54 of 5 Items
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

3×102
3 times 10 squared

3×10−2
3 times 10 negative squared

3×10−1
3 times 10 superscript negative 1 baseline

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

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

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

We perform the calculation as follows:

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

To simplify \( \frac{10.5}{3.5} \):
\[
\frac{10.5}{3.5} = 3
\]

Now to calculate:
\[
\text{Gallons per container} = \frac{3}{10^2} = 3 \times 10^{-2}
\]

So, the number of gallons of perfume in each container is:

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

Thus, the correct response is:

**3×10−2** (3 times 10 to the negative 2)