Solomon needs to distribute 10.5 gallons of perfume among 3.5×10^2 containers. How many gallons of perfume will be in each container? Write the answer in scientific notation.(1 point)

Question

Responses

3×102
3 times 10 squared

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

3×10−2
3 times 10 negative squared

0.35×10−1

Answer 1

To find out how many gallons of perfume will be in each container, we need to divide the total volume of perfume (10.5 gallons) by the number of containers (3.5x10^2).

10.5 gallons / 3.5x10^2 containers

This can be simplified by dividing 10.5 by 3.5:
10.5 / 3.5 = 3

Then, we express the power of 10 raised to 2 as a regular number:
3.5x10^2 = 350

Therefore, the answer is 3 gallons of perfume in each container. In scientific notation, this can be written as:

3x10^0 = 3x1 = 3