# How do I use scientific notation to write 15,800?

##### 1 Answer
Oct 11, 2014

Please check my answer to this question, especially my preliminary discussion.

http://socratic.org/questions/how-do-i-convert-scientific-notation-to-decimal

The one we need for this problem is to reverse the process.

Think of 15,800 as

$15 , 800.0 \cdot {10}^{0}$

Since we are reversing the process, moving the decimal place to the left will increase $10$'s power while moving to the right will reduce it.

We want to reduce 15800 to single digits. Hence, we need to move the decimal place 4 places to the left. Correspondingly, we need to increase $10$'s power by 4.

So, we have

$1.58 \cdot {10}^{4}$