2. Catalyst – January (6 2 -(2*5), 2010  Describe the pattern you see in the first 5. After, fill in the 6 th answer. 1) 3,450,000.= 3.45 x 10 6 2) 1,240,000,000.= 1.24 x 10 9 3) 0.000072 = 7.2 x 10 -5 4) 0.00000837 = 8.37 x 10 -6 5) 8370000.= 8.37 x 10 6 6) 273000. = _________________________

3. Today’s Agenda  Catalyst  Scientific Notation Practice  Intro to Dimensional Analysis  Practice!  Exit Question

4. Today’s Objectives  SWBAT write numbers like a scientist/G.  SWBAT convert units like a scientist/G.

5. 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.

6. 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!!!!

7. 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

8. 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

9. 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!

10. 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.

11. 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.

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

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

14. 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.

15. 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.

16. 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.

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

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

19. 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.

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

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

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

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

24. Scientific Notation 2250000

25. Scientific Notation 2.250000 2.25 x 10 6

26. Scientific Notation 10 300 000 000

27. Scientific Notation 1.0300000000 1.03 x 10 10

28. Scientific Notation.000055

29. Scientific Notation 00005.5 5.5 x 10 -5

30. Scientific Notation Think of a number-line: -10 -5 0 510 Adding/taking 0’s on right is + Adding/taking 0’s on left is -

31. Scientific Notation 9870000.00000987

32. Scientific Notation 98700009.87 x 10 6.000009879.87 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 -2.094

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 Denver is 2258 kilometers. Convert this to meters!

41. Always remember…  Key Point #3:  In two step problems, always convert to the unit without a prefix first.  Mass: grams  Distance: meters  Volume: liters  Temperature: degrees Celsius

42. Practice…  Chris Paul has a mass of 79.4 kg, convert this to mg.  *Bonus: If a standard basketball has a mass of 620, 000 mg, how many basketballs would equal the mass of Chris Paul?

43. Practice  There are 1135 decaliters (daL) in a pool. Convert to liters (cL).  10 L = 1 daL

44. Practice!  The average human eye blink is 300 milliseconds. Convert this to hectoseconds.

45. 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.000000005°K. Write these 3 numbers in scientific notation.