2. Catalyst – August (6 2 -5), 2010 HOMEWORK OUT PLEASE!  Describe the pattern/trend you see in the first 4. After, fill in the 5 th and 6 th answers. 1) 3,450,000.0 = 3.45 x 10 6 2) 1,240,000,000.0 = 1.24 x 10 9 3) 0.00000837 = 8.37 x 10 -6 4) 8370000.0 = 8.37 x 10 6 5) 0.000072 = _______________________ 6) 273000.0 = _______________________

3. Today’s Agenda  Catalyst  Go over yesterday’s Exit Question/HW  Scientific Notation Practice  Intro to Dimensional Analysis  Practice!  Exit Question SCIENTIFIC NOTATION HW! UNIT TEST ON FRIDAY!

4. Today’s Objectives  SWBAT write numbers like a scientist/G.  SWBAT convert units like it’s hot…because that’s what Gs do.

5. Exit Question Describe the accuracy (A) and precision (P) of 1 & 2. What prefix/unit would you use to measure the volume of cold drink in a can? What prefix/unit would you use to measure the length of your pinky?

6. Problem  When scientists are talking about light wavelengths, they are usually discussing nanometers, which is 10 -9 meters or 0.00000001 meters.  When scientists are talking about distances in space, they are usually discussing astronomical units (AU). 1 AU is 93,000,000 miles.

7. Problem  I don’t know about you, but I ain’t about to write all them zeros.  If only there was a way to fix this… SCIENTIFIC NOTATION!!!!

8. Notes – Scientific Notation Key Point #1 : Scientific notation is a way of abbreviating very large or very small numbers. 3.03 x 10 6 3 Parts! NumberPower of 10 Exponent

9. Scientific Notation Key Point #2: A number in correct scientific notation has only one non-zero number to the left of the decimal. 3.03 x 10 6

10. How to write numbers in scientific notation Move it to the left or move it to the right Add your exponent Then it’s aaaaaalright!

11. Big Numbers  Scientific Notation Let’s get rid of them zeroes at the end!  To do this, move the decimal point to the LEFT (to the left) 3 2 4 0 0 0 0 0.

12. Big Numbers  Scientific Notation How many times do we move the decimal to the LEFT (to the left)? 3 2 4 0 0 0 0 0.

13. Big Numbers  Scientific Notation …the decimal moves SEVEN times to the LEFT. 3.2 4 0 0 0 0 0

14. Big Numbers  Scientific Notation So, how do we use that number 7??? 3.2 4 0 0 0 0 0x 10 7

15. Big Numbers  Scientific Notation How many times do we move the decimal to the LEFT (to the left)? 3 2 4 0 0 0 0 0.

16. Small Numbers  Scientific Notation Let’s get rid of them zeroes at the front!  To do this, move the decimal point to the RIGHT (to the right) 0 0 0 0 0 0 2 6.

17. Small Numbers  Scientific Notation How many times did we move the decimal to the RIGHT (to the right)? 0 0 0 0 0 0 2 6.

18. Small Numbers  Scientific Notation …the decimal moves SIX times to the RIGHT (to the right). 0 0 0 0 0 0 2 6.

19. Small Numbers  Scientific Notation So how do we use that number 6???.0 0 0 2 6x 10 -6

20. Positive and Negative Exponents  Key Point #3: If the number is BIG then the exponent is POSITIVE; if the number is small then the exponent is NEGATIVE.

21. Positive Exponent 5 6 x 10 3 2. Every time you move the decimal to the RIGHT, exponent DECREASES by 1.

22. Positive Exponent 5 6 x 10 2. 1 0

23. Positive Exponent 5 6 x 10 1 0. 0 0 Final answer: 5600

24. Negative Exponent 3 8. 0 x 10 Final answer: 0.38 Every time you move the decimal to the LEFT, exponent INCREASES by 1.

25. Scientific Notation 2250000

26. Scientific Notation 2.250000 2.25 x 10 6

27. Scientific Notation 10 300 000 000

28. Scientific Notation 1.0300000000 1.03 x 10 10

29. Scientific Notation 0.000055

30. Scientific Notation 00005.5 5.5 x 10 -5

31. Scientific Notation 9870000 0.00000987

32. Scientific Notation 98700009.87 x 10 6 0.000009879.87 x 10 -6

33. Scientific Notation 8.1 x 10 3 9.4 x 10 -2

34. Scientific Notation 8.1 x 10 3 8100 9.4 x 10 -2 0.094

35. CONVERSIONS  GET READY FOR AWESOME!

36. Convert it like it’s hot  Key Point #1: A conversion factor shows the same value with two different units.  YOU ALREADY KNOW THIS STUFF!  Examples: 10 dimes= 1 dollar 20 nickels= 1 dollar 4 quarters= 1 dollar

37. Dimensional Analysis  Key Point #2: Dimensional analysis is a tool used to convert from one unit to another.

38. Working on the Railroad  Step 1:  What to what?  Step 2:  Write conversion factor(s)  Step 3:  Train tracks

39. Practice! One-step problems.  How many meters are in 10 centimeters?  How many centimeters are in 327 meters?

40. Practice! On your own!  The distance from New Orleans to Miami is 1387 kilometers (862 miles). Convert 1387 kilometers to meters!

41. Exit Question  In July 2008, it was estimated that the world’s population is about 6,707,000,000. The United States’ population was estimated to be 304,060,000. The coldest temperature ever created by man is 0.000000005°K. Write these 3 numbers in scientific notation.