# GRE Math : How to convert decimals to scientific notation

## Example Questions

### Example Question #31 : Decimals

Write  in scientific notation.

Explanation:

We want to move the decimal point to the place just after the first non-zero number, in this case 6, and then drop all of the non-significant zeros. We need to move the decimal point five spaces to the right, so our exponent should be negative.  If the decimal had moved left, we would have had a positive exponent.

In this case we get 6.009 * 105.

### Example Question #2 : How To Convert Decimals To Scientific Notation

is equal to which of the following?

Explanation:

We need to convert  into a number of the form .

The trick is, however, figuring out what  should be. When you have to move your decimal point to the right, you need to make the decimal negative. (Note, though, when you multiply by a negative decimal, you move to the left. We are thinking in "reverse" because we are converting.)

Therefore, for our value, . So, our value is:

### Example Question #2 : How To Convert Decimals To Scientific Notation

is equal to which of the following?

Explanation:

The easiest way to do this is to convert each of your answer choices into scientific notion and compare it to .

For each of the answer choices, this would give us: