Solomon needs to distribute 10.5 gallons of perfume among 3.5×10^2

Question

containers. How many gallons of perfume will be in each container? Write the answer in scientific notation.(1 point)
Responses

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

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

3×10−2
3 times 10 negative squared

3×102
  3 times 10 squared
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Answer 1

To find out how many gallons of perfume will be in each container, you need to divide the total amount of perfume by the number of containers:

Given:

• Total amount of perfume = 10.5 gallons
• Number of containers = \(3.5 \times 10^2 = 350\) containers

Now, perform the division:

\[ \text{Gallons per container} = \frac{10.5 \text{ gallons}}{350 \text{ containers}} \]

Calculating this:

\[ \text{Gallons per container} = \frac{10.5}{350} = 0.03 \text{ gallons} \]

Next, convert \(0.03\) gallons to scientific notation.

\[ 0.03 = 3 \times 10^{-2} \]

Thus, the answer in scientific notation is:

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