1. SWBAT…change numbers from scientific notation to standard notation and vice versa. Agenda 1. Warm-up (5 min) 2. Cornell notes on scientific notation (25 min) 3. OYO Problems (20 min) Warm-Up 1. What do you know about scientific notation? 2. Why do we use scientific notation? 3. 10 3 = HW#1: Scientific Notation Tues, 10/5/09

2. Announcements You may use your calculators! When you come to class, place your binder, notebook, homework, pencil and calculator on desk

3. Scientific Notation A method for expressing and working with, very large or very small numbers Short hand method for writing numbers Numbers in scientific notation are made up of three parts:  Coefficient  Base  Exponent 5.67 x 10 3 coefficient base exponent

4. Following conditions must be true 1. The coefficient’s decimal must be after the first non-zero number For example: 04.5 Not: 53.6 2. The base must be 10 3. The exponent shows the number of decimal places that the decimal needs to be moved

5. Change to scientific notation Ex 1: 56,700 The coefficient’s decimal is after the 5 The coefficient will then read 5.67 Remember, the decimal is at the end of the final zero The decimal will move 4 places to the right, making the exponent equal to 4. Answer equals 5.67 x 10 4

6. Change to scientific notation Ex 2: 194 (HW Problem #6) The coefficient decimal is after the 1 The coefficient will then read 1.94 Remember, the decimal is at the end of the four The decimal will move 2 places to the right, making the exponent equal to 2. Answer equals 1.94 x 10 2

7. Change to scientific notation Ex 3: 0.0000159 (HW Problem #9) The coefficient’s decimal is after the 1 The coefficient will then read 1.59 The decimal will move 5 places to the left, making the exponent equal to -5. Answer equals 1.59 x 10 -5

8. Change to standard notation Ex 1: 5.67 x 10 3 = The exponent tells us to move the decimal three places to the right from where it’s currently at Remember, 10 3 = 10 * 10 * 10 = 1,000 So, 5.67 x 1,000 = 5,670 5,670

9. Change to standard notation Ex 2: 7 x 10 4 (HW Problem #10) The exponent tells us to move the decimal four places to the right from where it’s currently at So, 7 x 10 4 = 70,000

10. Change to standard notation Ex 3: 5.3 x 10 -4 The exponent tells us to move the decimal four places to the left (from where it’s currently at) so, 5.3 x 10 -4 = 0.00053

11. Change to standard notation Ex 4: 42 x 10 4 = The exponent tells us to move the decimal four places to the right (from where it’s currently at) So, 42 x 1 0 4 = 420,000

12. What do you notice about the sign of exponents and the size of the number? AHA!

13. On Your Own (OYO) Problems Change to scientific notation 1) 195 2) 0.00067 3) 709,000,000 Change to standard notation: 1) 7 x 10 3 2) 80 x 10 -5 3) 31.3 x 10 6

14. On Your Own (OYO) Problems Change to scientific notation 1) 195 = 1.95 x 10 2 2) 0.00067 = 6.7 x 10 -4 3) 709,000,000 = 7.09 x 10 8 Change to standard notation: 1) 7 x 10 3 = 7,000 2) 80 x 10 -5 = 0.00080 = 0.0008 3) 31.3 x 10 6 = 31,300,000

15. Highlight the five most important words from your notes. Complete a 3 or 4 sentence summary of what you wrote in your notes using your highlighted words