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What are the steps to solve this problem? 0.000027 / 0.000009
Prepare 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.

Respuesta :

mack8402
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.  10^-6/10^-6 is equal to 1 so the final answer is 3 x 1 = 3. 
MrRoyal

The division of numbers that are very small can be done by expressing the numbers in scientific notation

The result of the expression is 3

The expression is given as:

[tex]\frac{0.000027}{0.000009}[/tex]

Express using scientific notations

[tex]\frac{2.7 \times 10^{-5}}{9 \times 10^{-6}}[/tex]

Divide 2.7 by 9

[tex]\frac{0.3 \times 10^{-5}}{10^{-6}}[/tex]

Apply law of indices

[tex]0.3 \times 10^{-5 --6}[/tex]

[tex]0.3 \times 10^{-5 +6}[/tex]

[tex]0.3 \times 10^{1}[/tex]

Multiply

[tex]3[/tex]

Hence, the result of the expression is 3

Read more about scientific notation at:

https://brainly.com/question/1705769

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