1. Learning Goals: 1. State whether or not a number is in Scientific Notation….and why. 2. Write a given number in Scientific Notation.

2. What does it mean??

3. Do you know this number? 300,000,000 m/sec.

4. It's the speed of light ! (The speed at which light travels.)

5. Do you know this number? 120,000 km

6. It's the diameter of Saturn!

7. Scientists have developed a shorter method to express very large or very small numbers. This method is called scientific notation.

8. Scientific Notation is made of two factors: A coefficient and a power of 10. _____ x 10 

10. Standard NotationScientific Notation 123,000,000,0001.23 x 10 11 56,000,0005.6 x 10 7 387,000,0003.87 x 10 8 7,0007.0 x 10 3 Discuss with a partner and share out.

11. 1.23 x 10 11 5.6 x 10 7 3.87 x 10 8 7.0 x 10 3 Discuss with a partner and share out.

12. 1.23 x 10 11 5.6 x 10 7 3.87 x 10 8 7.0 x 10 3

13. Discuss with a partner and share out. 123,000,000,000 1.23 x 10 11 56,000,000 5.6 x 10 7 387,000,000 3.87 x 10 8 7,000 7.0 x 10 3

14. 1.324 x 10 11 13.24 x 10 10 OR

15. 8.9 x 10 6 OR 8.9 x 10 7

16. 3.875 x 10 0 OR 3.875 x 10 3

18. Let’s take a look at some very small numbers!

19. Do you recognize this number? 0.000000000753 kg.

20. It is the mass of a single dust particle!

21. Do you recognize this number? 0.000017 m

22. It is the width of a single human hair!

24. Standard NotationScientific Notation 0.0000000787.8 x 10 -8 0.00004564.56 x 10 -5 0.00000000949.4 x 10 -9 0.00077.0 x 10 -4 Discuss with a partner and share out.

25. 7.8 x 10 -8 4.56 x 10 -5 9.4 x 10 -9 7.0 x 10 -4

26. Discuss with a partner and share out. 7.8 x 10 -8 4.56 x 10 -5 9.4 x 10 -9 7.0 x 10 -4

27. Discuss with a partner and share out. 0.0000000787.8 x 10 -8 0.00004564.56 x 10 -5 0.00000000949.4 x 10 -9 0.00077.0 x 10 -4

28. 49 x 10 -8 OR 4.9 x 10 -8

29. 3 x 10 -5 OR 0.3 x 10 -4

30. 7.7 x 10 -10 OR 7.07 x 10 -9

32. Sarah vs. Stacy There’s a correct way to write Scientific Notation, just like the Order of Operations. Without a set standard, several answers could actually be correct. Using the standards you just learned, decide which student is correctly writing the numbers.

33. Sarah vs. Stacy Problem #1 831,000 Sarah thinks the answer is Stacy thinks the answer is 8.31 X 10 5 8.31 X 10 -5 Who is correct? And how do you know? What mistake did the incorrect student make?

34. Sarah vs. Stacy Problem #2 0.00345 Sarah thinks the answer is Stacy thinks the answer is 3.45 X 10 -2 3.45 X 10 -3 Who is correct? And how do you know? What mistake did the incorrect student make?

35. Sarah vs. Stacy Problem #3 0.0000006 Sarah thinks the answer is Stacy thinks the answer is 0.6 X 10 6 6.0 X 10 -7 Who is correct? And how do you know? What mistake did the incorrect student make?

36. On Your Own!! A. 8.24 x 3 -5 B. 9.71 x 10 8 C. 0.4 x 10 2 D. 39.13 x 10 -4 1. Which number below is written in Scientific Notation? 2. Write the following numbers in Scientific Notation: 480,0000.000734