Scientific notation and Standard Notation

3 � 10�

300

5.72 � 10?

5,720,000,000

3 � 10�

30

5.72 � 10�

572

3 � 10?

300000

2.4327 � 10?

24,327

2.4327 � 10?

24,327,000

5.3 � 10?�

0.053

5.3 � 10??

0.0000053

7.8 � 10?�

0.0078

7.8 � 10?�

0.78

5.72 � 10?�

0.572

5.72 � 10??

0.000572

Scientific Notation

An easier way to write a very large or very small number.

Standard Form

A number written out in expanded form.

Exponent

The power to which a given number or expression is to be raised.

Base

The number that is going to be raised to a power.

Scientific Notation with a negative exponent means...

The number will be smaller than one.

Scientific Notation with a positive exponent means...

The number will be greater than one.

4 � 10??

0.0004

5.72 � 10?

57,200