1. 5.4 Scientific Notation Goals: 1.) To write numbers in scientific notation 2.) To multiply and divide scientific notation

2. Scientific Notation a shortcut for very large/small numbers The distance from earth to the north star is 10,000,000,000,000,000,000 meters. Fewer errors if we write as 1.0 x 10 19 ?

3. Given a # in Standard Notation write it in Scientific Notation 1.Move decimal until the # is 1 ≤X <10 2.Then mult. that # by 10 to a power 3.The power will be the # of times you moved the decimal (if u moved to the rt it’s a neg. exp. If u moved to the lft it is a positive exp.)

4. Scientific Notation Write an equivalent expression using scientific notation: 3,200 3.2  10 3 Must be at least 1.0 and no more than 9.9999…

5. Scientific Notation Write an equivalent expression using scientific notation: 0.0307 3.07  10 -2 Must be at least 1.0 and no more than 9.9999…

6. Change from scientific notation to standard form: move the decimal the same amt of times as the exp. (if the exp + move to the right and if the exp is – move to the left) 1.25 x 10 3 1250

7. Change from scientific notation to standard form: 7.0 x 10 5 700,000

8. Change from scientific notation to standard form: 4.8 x 10 -3 0.0048

9. Change from scientific notation to standard form: 1.8 x 10 -4 0.00018

10. Multiply Using Properties (3.0 x 10 5 )(4.1 x 10 -3 ) 12.3 x 10 2 1.23 x 10 3

11. Divide Using Properties. Show your answer in scientific notation 0.5 x 10 -13 5.0 x 10 -14

12. Divide Using Properties. Show your answer in scientific notation 2.0 x 10 3

13. Divide Using Properties. Show your answer in scientific notation 0.3 x 10 7 3.0 x 10 6

14. Homework Page 219 (2-40) even