1. Section5.1(b) Scientific Notation

2. Def: A number is in scientific notation when it is in the form: a x 10 n Where: 1 < a < 10 Example: 3.68 x 10 -6

3. 0. 010081. 008 x 10 -2 To find the exponent, just count the number of times you have to move the decimal in order to have only 1 number remaining on the left side of the decimal. 1.) Write the number 0.01008 in scientific notation Move decimal left: + exponent Move decimal right: - exponent

4. 2.) Express the number 2,000,000 in scientific notation. Remember that each time you move the decimal by 1 place it represents a factor of 10 2,000,000 6 decimal places = 2 x 10 6

5. 3.) Express 436,000 in scientific notation 436,000 5 decimal places 4.36 x 10 5 4.) Express 0.0000173 in scientific notation 0.0000173 If you move the decimal place to the right, use a negative exponent = 1.73 x 10 -5 5 decimal places right

6. 5.) Express in decimal and scientific notation

7. To set your calculator to show numbers in scientific mode use the procedure on the following screen

8. Screen Key stroke(s) Screen Key stroke(s) Home Screen

9. Homework Page 259 Problems: 46-55 all