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:

Requirements:
• 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.

0.000027 = 2.7 • 10⁻⁵ = 27 • 10⁻⁶

0.000009 = 9 • 10⁻⁶

0.000027 ÷ 0.000009 =

27 • 10⁻⁶ ÷ 9 • 10⁻⁶ = 3

To solve the problem of dividing 0.000027 by 0.000009, you can follow these steps:

Step 1: Rewrite the numbers in scientific notation. Scientific notation expresses a number as a product of a coefficient and a power of 10. In this case, we can write:

0.000027 = 2.7 x 10^(-5)
0.000009 = 9 x 10^(-6)

Step 2: Divide the coefficients. Divide 2.7 by 9, which gives you:

2.7 / 9 = 0.3

Step 3: Subtract the exponents. Subtract the exponent of the divisor (10^(-6)) from the exponent of the dividend (10^(-5)). In this case, it results in:

-5 - (-6) = -5 + 6 = 1

Step 4: Write the final answer in scientific notation. Combine the quotient from step 2 with the resulting exponent from step 3. So, the final answer is:

0.3 x 10^1

However, to simplify further, we convert 10^1 to just 10. Hence, the simplest form of the answer is:

0.3 x 10 = 3

Therefore, the solution to 0.000027 ÷ 0.000009 equals 3.