2. Catalyst HOMEWORK OUT, PLEASE!  In complete sentences, describe the pattern 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! QUIZ TOMORROW! UNIT TEST ON TUESDAY!

4. 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?

5. Accuracy and Precision  William measures the mass of five different blocks on a triple-beam balance. His results are in the table to the right.  Are his measurements precise?  (Are they close to one another?)  Are his measurements accurate?  (Are they close to the true values?) Block Actual Mass of Block (g) Measured Mass of Block (g) 15649 26750 38953 410264 54951

6. HW 2.What is conversion between centimeters and meters?  1 meter = 100 centimeters 3.What is the conversion between milliliters and liters?  1 liter = 1000 milliliters 4.What is the conversion between grams and dekagrams?  10 dekagram = 1 gram 5.What is the conversion between decigrams and grams?  1 gram = 10 decigrams 6.What is the conversion between nanograms and grams?  1,000,000,000 nanograms = 1 gram 7.What is the conversion between liters and gigaliters?  1,000,000,000 Liters = 1 gigaliter 8.What is the conversion between meters and hectometers?  100 hectometers = 1 meter 9.What is the conversion between centigrams and grams?  100 centigrams = 1 gram 10.What is the conversion between megaliters and liters?  1,000,000 liters = 1 megaliter

7. The Power of Pesewas  1 Pesewa – Raffle Ticket (Put your name on the back and place it in your class’s jar)  5 Pesewas – Point on a test  10 Pesewas – College Pencil  15 Pesewas – Homework Pass  75 Pesewas – Lunch with Ms. Sanacore (She buys it, too!)  400 Pesewas – Pie Ms. Sanacore in the face

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

9. 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.

10. 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!!!!

11. 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

12. 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

13. 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!

14. 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.

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

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

18. 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.

19. 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.

20. 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.

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

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

23. 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.

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

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

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

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

28. Scientific Notation 2250000

29. Scientific Notation 2.250000 2.25 x 10 6

30. Scientific Notation 10 300 000 000

31. Scientific Notation 1.0300000000 1.03 x 10 10

32. Scientific Notation 0.000055

33. Scientific Notation 00005.5 5.5 x 10 -5

34. Scientific Notation 9870000 0.00000987

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

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

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

38. CONVERSIONS  GET READY FOR AWESOME!

39. 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

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

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

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

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

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

45. 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?

46. Practice  There are 1135 decaliters (daL) in a pool. Convert to centiliters (cL).  10 L = 1 daL  100 cL = 1 L

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

48. Independent Practice DO IT TO IT! We CAN; therefore, we WILL. “Practice as if you are the worst. Perform as if you are the best.” 1. What to what? 2. Conversion Factors 3. Train Tracks! Choo choo!

49. 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.