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.

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. 

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:

Express using scientific notations

Divide 2.7 by 9

Apply law of indices

Multiply

Hence, the result of the expression is 3

Read more about scientific notation at:

link

8.4 seconds

Step-by-step explanation:

For (a) we have h=0 and t=0    

when we substitute the values we get

Which will give the value c=0

Now, to find how long the rocket will take to hit the ground after it is launched

we get  

We will solve the above quadratic equation for t we get:

We have formula to solve the quadratic equation:

Here, a=16, b=-122 and c=-99

On substituting the values in the formula we get:

Now, we will substitute D in the formula to get final value of t

We will neglect the negative time

Hence, 8.36 seconds or approximately 8.4 seconds