# How do you write #38000# in scientific notation?

##### 1 Answer

#### Explanation:

Steps:

**A. The number must be between 1 and 10.**

In this case,

*One important thing to remember is that at the end of every number there is an understood decimal. For example, in #38000#, there is an understood decimal at the end: #38000.#. All we have to do is move the decimal and account for the spaces we have moved it.*

So, we need to determine what number we could come up with that would be between 1 and 10. Right now, the only number I can see that is between 1 and 10 using the number

**B. Determine the Exponent (or the number of spaces that need to be accounted for).**

Now that we have decided that

- write down the original number:

#38000# - place the decimal point where we put it in
#3.8# :

#3.8000# - count the number of places after the decimal point (or count the number of numbers after the decimal point):

3./8/0/0/0#larr# there are 4 numbers after the decimal point.

So the exponent is four.

Now to the writing part...

**C. Write it in Scientific Notation.**

So this is kind of the easiest step because you just put together all you did. So get your number from Step A (

- First, put down 3.8:

#3.8# - Then, write out a multiplication symbol right next to it:

#3.8 times# - Next, write out a ten next to the multiplication symbol. The ten symbolizes each space that we need to account for. (However, the exponent determines the number of spaces):

#3.8 times 10# - Now, add your exponent raised by the ten:

#3.8 times 10^4#

And that's how you get your answer! :)

Hope this helps!