# How do you convert 3,400 into scientific notation?

##### 1 Answer
Apr 17, 2018

$3.4 \cdot {10}^{3}$

#### Explanation:

First determine how many digits there are (in this case 4). Now, if you want to shorten a large number, change them into a simpler form, like this:
3400 -> 3.4
52000 -> 5.2
0.00032 -> 3.2
Find out how many digits did you move the digits. To get to 3.4 from 3400, I moved the 34 to the right 3 times.
3400 -> 340.0 -> 34.00 -> 3.400
Now, take the simpler form and add "$\cdot {10}^{n}$", where n is the number of digits moved. If original number is moved right, n will be positive, and if it's moved to the left, n will be negative.