Scientific Notation

Scientific Notation

Allows us to write very big and very small numbers

Scientific Notation

Every number written in scientific notation has two basic parts.  The first part is always a decimal number

between 1.00 and 9.99… The second part is 10 times some exponent

Scientific Notation

3.42 x 106 or

8.005 x 10-3

Notice that in each of these, the first part is a decimal number between 1.00 and 9.99…

Scientific Notation

3.42 x 106 means

3.42 x (10 x 10 x 10 x 10 x 10 x 10)  

or 3420000

Scientific Notation

8.005 x 10-3 means

8.005 x (0.1 x 0.1 x 0.1)

 or 0.008005

Practice Problems!!!

Scientific Notation: True or False

1)3.45 x 103

2)42.6 x 10-6

3)8.32 x 42

Be prepared to explain why or why not

Scientific Notation

the exponent on the 10 tells you which direction to move the decimal and how many times it should be moved. POSITIVE EXPONENT means move RIGHT NEGATIVE EXPONENT means move LEFT

Scientific Notation

Can I change standard notation to scientific notation? Let's say you wanted to convert the

following number to scientific notation:

0.00000782

Scientific Notation

The first part has to be between 1.00 and 9.99...

Move your decimal until you have a number that qualifies

7.82

Scientific Notation

Remember that the exponent tells you the number of spaces that you moved it. How many spaces did we move it? Did we move it left or right?

7.82 X 106 or 7.82 X 10-6

Scientific Notation

A standard notation number LOWER than 1 means NEGATIVE exponent

A standard notation number GREATER than 1 means POSITIVE exponent

Scientific Notation

1) 3,400

2) 0.000023

3) 101,000

4) 0.010

Scientific Notation

5) 45.01

6) 1,000,000

7) 0.00671

8) 4.50