How do you write #38000# in scientific notation?
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
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:
- place the decimal point where we put it in
- count the number of places after the decimal point (or count the number of numbers after the decimal point):
#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:
- Then, write out a multiplication symbol right next to it:
- 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!