1. Scientific Notation

2. Bubbles The brilliant colors observed in soap bubbles occur as a result of light reflecting from the inner and outer surfaces of the bubble. The thickness of a soap bubble is about 0.000004 meter. In the Real World Scientific Notation How can you use the powers of 10 to write 0.000004 ? You will see how to solve this problem in Example 1.

3. Bubbles The brilliant colors observed in soap bubbles occur as a result of light reflecting from the inner and outer surfaces of the bubble. The thickness of a soap bubble is about 0.000004 meter. In the Real World Scientific Notation How can you use the powers of 10 to write 0.000004 ? You will see how to solve this problem in Example 1. One way to write very small or very large numbers is to use scientific notation.

4. NOTE BOOK Using Scientific Notation Scientific Notation Standard FormProduct FormScientific Notation 325,000 3. 25  100,0003. 25  10 5 0. 0005 5  0. 0001 5  10 – 4 A number is written in scientific notation if it has the form c  10 n where 1 ≤ c < 10 and n is an integer.

5. Writing Numbers in Scientific Notation The thickness of a soap bubble is about 0.000004 meter. Scientific Notation Standard FormProduct FormScientific Notation 0.000004 4  0. 000001 4  10 –6. Move decimal point 6 places to the right. Exponent is –6.

6. Writing Numbers in Scientific Notation The thickness of a soap bubble is about 0.000004 meter. Scientific Notation Standard FormProduct FormScientific Notation 0.000004 4  0. 000001 4  10 –6 There are about 300,000,000,000 stars in the Andromeda Galaxy. Standard FormProduct FormScientific Notation 3 00,000,000,000 3  100,000,000,000 3  10 11 Exponent is 11... Move decimal point 6 places to the right. Exponent is –6. Move decimal point 11 places to the left.

7. Writing Numbers in Standard Form Scientific Notation Standard FormProduct FormScientific Notation 7.20000 7. 2  100,000 7. 2  10 5. Exponent is 5. Move decimal point 5 places to the right. 720,000

8. Writing Numbers in Standard Form Scientific Notation Standard FormProduct FormScientific Notation 7.20000 7. 2  100,000 7. 2  10 5. Standard FormProduct FormScientific Notation 0 000000465 4. 65  0. 00000014. 65  10 –7. Exponent is 5. Move decimal point 5 places to the right. Exponent is –7. Move decimal point 7 places to the left. 720,000

9. Writing Numbers in Scientific Notation Scientific Notation…. YOU TRY IT!!! Write 0.000000415 in Scientific Notation Writing Numbers in Scientific Notation Write 8,100,000,000 in Scientific Notation

10. Writing Numbers in Standard Form Scientific Notation…. YOU TRY IT!!! Write 8.71 x 10 -2 in Standard Form Writing Numbers in Standard Form Write 2.83 x 10 12 in Standard Form

11. Day 2 Operations using Scientific Notation

12. Scientific Notation A number is expressed in scientific notation when it is in the form a x 10 n where a is between 1 and 10 and n is an integer

13. Addition and Subtraction

14. Addition

15. Subtraction

16. Multiplication

17. Try These

18. Division

19. Try These

20. 7) Use a calculator to evaluate (3,600,000,000)(23). On the calculator, the answer is: 8.28 E +10 The answer in scientific notation is 8.28 x 10 10 The answer in decimal notation is 82,800,000,000