# Scientific Notation Tutorial

## The Standard Form for Scientific Notation

 7e-05 7 X 0.00001 7 X 10-5 0.027 27 X 0.001 27 X 10-3 3e-13 3 X 0.0000000000001 3 X 10-13

There are many different ways to write a number in scientific notation. All of the following are correct ways to write 570,000:

• 570 X 1,000 = 570 X 103

• 57 X 10,000 = 57 X 104

• 5.7 X 100,000 = 5.7 X 105

The last version is called the standard form, and is the easiest form to use for computations. This is how the standard form look in general:

(single digit).(rest of digits) X 10(exponent)

Therefore the coefficient in the standard form is a number between 1 and 10. You should try to place a number in the standard form for most computations.

How did we get 570,000 into the standard form? Here's one way:

570,000 = 570 X 1000 = 570 X 103= 570 X 10 X 10 X 10

570 = 57 X 10 = 5.70 X 10 X 10

So 570,000 = 5.7 X 10 X 10 X 10 X 10 X 10 = 5.7 X 105

Which of the numbers below is the expression in the standard form for the number 3,930,000?

 393 X 104 39.3 X 105 3.93 X 106 3.93 X 104

Questions? Ask the designer, Jim Heath