2. OBJECTIVE/WARM-UP Students will be able to distinguish between accuracy and precision. Students will be able to use scientific notation. How many sig figs in each number? 3.400 0.00304 0.34090 0.0030 4500

3. NOTES-ACCURACY Word/Phrase:Definition: Hints or diagram:Meaning in My own words: accuracy How close the measurement is to the real, true, or correct value correctness

4. NOTES-PRECISION Word/Phrase:Definition: Hints or diagram:Meaning in My own words: precisionHow close measurements are to each other repeatable

5. On the TV show “The Biggest Loser”, weight loss is reported in whole pounds, but percentage weight loss is given with two decimal places. For example, if a 210 lb. person lost 4 pounds, the percent weight loss is reported as 1.90% weight loss. Write a letter to the producers of the show to explain how this is unfair and not correct precision in reporting the percentage weight loss. Suggest a way to correct this for future shows.

6. Scientific Notation A short-hand way of writing large numbers without writing all of the zeros.

7. The Distance From the Sun to the Earth 93,000,000

8. Large Numbers

9. Step 1 Move decimal left Leave only one number in front of decimal

10. Step 2 Write number without zeros

11. Step 3 Count how many places you moved decimal Make that your power of ten

12. The power of ten is 7 because the decimal moved 7 places.

13. 93,000,000 --- Standard Form 9.3 x 10 7 --- Scientific Notation

14. Practice Problem 1) 98,500,000 = 9.85 x 10 ? 2) 64,100,000,000 = 6.41 x 10 ? 3) 279,000,000 = 2.79 x 10 ? 4) 4,200,000 = 4.2 x 10 ? Write in scientific notation. Decide the power of ten. 9.85 x 10 7 6.41 x 10 10 2.79 x 10 8 4.2 x 10 6

15. More Practice Problems 1) 734,000,000 = ______ x 10 8 2) 870,000,000,000 = ______x 10 11 3) 90,000,000,000 = _____ x 10 10 On these, decide where the decimal will be moved. 1)7.34 x 10 8 2) 8.7 x 10 11 3) 9 x 10 10

16. Complete Practice Problems 1) 50,000 2) 7,200,000 3) 802,000,000,000 Write in scientific notation. 1) 5 x 10 4 2) 7.2 x 10 6 3) 8.02 x 10 11

17. Scientific Notation to Standard Form Move the decimal to the right 3.4 x 10 5 in scientific notation 340,000 in standard form 3.40000 --- move the decimal

18. Write in Standard Form 6.27 x 10 6 9.01 x 10 4 6,270,000 90,100

19. Small Numbers

20. Step 1 Move decimal right Leave only one number in front of decimal

21. Step 2 Write number without zeros

22. Step 3 Count how many places you moved decimal Make that your power of ten

23. The power of ten is -4 because the decimal moved 4 places.

24. 0.000324 --- Standard Form 3.24 x 10 -4 --- Scientific Notation

25. Practice Problem 1) 0.000000985 = 9.85 x 10 ? 2) 0.641 = 6.41 x 10 ? 3) 2.79 = 2.79 x 10 ? 4) 0.042 = 4.2 x 10 ? Write in scientific notation. Decide the power of ten. 9.85 x 10 -7 6.41 x 10 -1 2.79 x 10 0 4.2 x 10 -2

26. Complete Practice Problems 1) 0.005 2) 0.000072 3) 0.000802 Write in scientific notation. 1) 5 x 10 -3 2) 7.2 x 10 -5 3) 8.02 x 10 -4

27. Scientific Notation to Standard Form Move the decimal to the left 3.4 x 10 -5 in scientific notation 0.000034 in standard form 000034 --- move the decimal

28. Write in Standard Form 6.27 x 10 -6 9.01 x 10 -4 0.00000627 0.000901

29. Scientific Notation Examples Change from scientific notation a) the distance from Pluto to the Sun is 5.9×10 12 meters b) the Milky Way disk radius is 3.9×10 20 meters. c) The speed of light is 3 x 10 8 meters/second. d) the sun is 1.5x 10 11 meters from earth e) Mass of proton : 1.6726 x 10 -27 kg f) Mass of neutron: 1.6749 x 10 -27 kg g) Mass of electron: 9.10939 × 10 -31 kg Change into scientific notation h) 0.000 000 000 753 kg. is the mass of a dust particle! i) A proton has a diameter of approximately 0.000000000001 mm

30. Quick Review When adding or subtracting: Make sure the exponents are the same and line up the decimal points. When multiplying: Add the exponents When dividing: Subtract the exponents