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 3×10−1 3 times 10 superscript negative 1 baseline 3×102 3 times 10 squared 0.35×10−1 0.35 times 10 superscript negative 1 baseline 3×10−2

Answer 1

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

1. First, convert the numbers to standard form:

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

2. Now, divide the total amount of perfume by the number of containers: \[ \text{Amount per container} = \frac{10.5 \text{ gallons}}{350 \text{ containers}} = 0.03 \text{ gallons per container} \]

3. Next, we convert \(0.03\) into scientific notation: \[ 0.03 = 3.0 \times 10^{-2} \]

Therefore, the amount of perfume in each container, expressed in scientific notation, is:

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