# Scientific notation

Updated: 06/21/2017 by Computer Hope

A method of writing a very large or small numbers, **scientific notation** is an integer between 1 and 10 multiplied by the power of 10. For example, 987,000,000 could be written in scientific notation as 9.87 * 10^{8}, 9.87 * 10^8, or 9.87e+8.

## To convert a real number into a scientific notation, follow the steps below.

- Place a decimal point after the first digit. If we were using the same number we used above, the decimal point would be placed after the nine.
- Complete the remainder of the number excluding the trailing zeros. In our example, 9.87 is known as the coefficient.
- To find the exponent, count all the digits up to the decimal point. Because our number was nine digits long, this would mean we have an exponent of eight.

## To convert a scientific notation into a real number, follow the steps below.

- Assuming our scientific notation was 8.01+E5.
- Calculate 8.01 * 10 * 10 * 10 * 10 * 10 or move the decimal five places to the right.
- The answer for this scientific notation should be 801000

or

- Open the calculator on your computer.
- Enter 8.01
- Press the 'e' key for exponent.
- Enter 5 and press enter.