1. Scientific Notation

2. Allows a very large or small number to be expressed as a smaller number x power of 10.

3. Scientific notation for a large number.
Example: 125
Move the decimal so that there is one number to the left of the decimal.
Multiply by the power of 10 the number of spaces moved.
1.25 x 102

4. Example: 1700 Move the decimal. 1700 1.7 Multiply by power of 10.
Multiply by power of 10.
1.7 x 103

5. Scientific Notation for a very small number
Ex:
Move the decimal so that there is only one number to the left of it.
2. Multiply by a negative power of 10 for the number of places moved.
5.8 X 10-4

6. Example:
7.4 x 10-5

7. Practice problems (do in your comp book)
Convert the following numbers to scientific notation.
56400
6,300,000
98224
0.0068
(4 zeros)
(9 zeros)

8. Convert from scientific notation to an ordinary number.
Ex: 5.73 x 103 For positive powers of 10, move the decimal to the right that many places Notice that you have to add a zero to get the right number of spaces.

9. Ex: 8.32 x 10-2
Move the decimal to the left when the exponent is negative

10. Practice problems Convert the follow numbers into ordinary numbers.
x 102
4.2 x 104
8.930 x 106
2.66 x 10-2
9.200 x 10-5
6.7 x 10-1

11. Multiplying in scientific notation
Ex: 5.0 x 105 x 7.0 x 104 Multiply the numbers and add the exponents. 5.0 x 7.0 = = x 109

12. To divide in scientific notation.
Ex: 6.0 x 102/ 2.0 x 103 Divide the number and subtract the exponent 6.0/2.0 = = x 10-1

13. Practice Problems 5.8 x 102 x 4.5 x 104 7.33 x 106 x 8.6 x 105

14. Homework p 148:1, 2, 3, 5,6, 8