1. Scientific Notation

2.  Allows us to write very big and very small numbers

3. 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

4. Scientific Notation 3.42 x 10 6 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…

5. Scientific Notation 3.42 x 10 6 means 3.42 x (10 x 10 x 10 x 10 x 10 x 10) or 3420000

6. Scientific Notation 8.005 x 10 -3 means 8.005 x (0.1 x 0.1 x 0.1) or 0.008005

7. 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

8. 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

9. 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

10. Scientific Notation  Remember that the exponent tells you the number of spaces that you moved it. So the answer is either 7.82 X 10 6 or 7.82 X 10 -6

11. Scientific Notation  A standard notation number LOWER than 1 means NEGATIVE exponent  A standard notation number GREATER than 1 means POSITIVE exponent

12. Scientific Notation 1) 3,400 2) 0.000023 3) 101,000 4) 0.010

13. Scientific Notation 5) 45.01 6) 1,000,000 7) 0.00671 8) 4.50