Scientific Notation

210,000,000,000,000,000,000,000 miles(22 zeros)

This number is written in standard form. When numbers get this large, it is easier to write them in scientific

notation.

How wide is our universe?

Scientific Notation

A number is expressed in scientific notation when it is in the form

a x 10n

where a is between 1 and 10and n is an integer

Partner Talk Determine which ones are in

Scientific Notation.

0.4 x 106

1.3 x 103

10 x 107

7.45 x 108 1 x 10-3

5.0 x 10-

5

Writing Numbers in Scientific Notation

a. 40,000 b. .000137 c. 4,030

d. 0.028 e. 78 f. 0.548

a. 6.73 x 106

Is this going to be a big or small number?

b. 5.925 x 102 c. 5.0 x 108

Express in Standard Form

Is this going to be a big or small number?

d. 2.4 x 10-3

e. 6.832 x 10-5 f. 3.2 x 10-1

Express in Standard Form

g. Multiply

3 x 10-7 and 9 x 103

Multiply With Scientific Notation

g. Multiply

3 x 10-7 and 9 x 103

Multiply With Scientific Notation

You try…4 x 104 and 6 x 106