Q:

What are the steps to solve this problem? 0.000027 / 0.000009Prepare your response to this question. When you are ready, you may submit your response as an audio recording or as a written essay. Be sure to include the following: ~ Explain how to use scientific notation to solve the problem.~ Describe how to divide numbers written in scientific notation.~ Give your final answer in simplest form.

Accepted Solution

A:
The first step is to change each of the decimals to a form that is easier to divide. Since I know how to divide 27/3 that is the form I will change to. 0.000027 needs to change to 27. Since the decimal moves to the right 6 places (or needs to be multiplied by 1,000,000) It can be written as 27x10^(-6). Now to change 0.000009 to 9. This follows the same steps as before to become 9x10^(-6). The new equation is (27x10^-6)/(9x10^-6) We know that 27/9 is 3.Β  10^-6/10^-6 is equal to 1 so the final answer is 3 x 1 = 3.Β