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? = HW#1: Scientific Notation Tues, 10/5/09

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

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

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

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

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

Change to scientific notation Ex 3: (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

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

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

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

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 = 420,000

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

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

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

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