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Catalyst – January (6 2 -(2*5), 2010

Catalyst – January (6 2 -(2*5), 2010. Describe the pattern you see in the first 4. After, fill in the 5 th and 6 th answers. HOMEWORK OUT PLEASE! 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

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Catalyst – January (6 2 -(2*5), 2010

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  1. Catalyst – January (62-(2*5), 2010 • Describe the pattern you see in the first 4. After, fill in the 5th and 6th answers. HOMEWORK OUT PLEASE! 1) 3,450,000.0 = 3.45 x 106 2) 1,240,000,000.0 = 1.24 x 109 3) 0.00000837 = 8.37 x 10-6 4) 8370000.0 = 8.37 x 106 5) 0.000072 = _______________________ 6) 273000.0 = _______________________

  2. 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!

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

  4. Projector Front Door 2nd Period Group 1 Chris, Johneisha, Rodneisha K., Keiara Group 3 Annquinette, J’Nae, Josh T., Kayla Group 2 Jeremiah, Montronquie, LaRatio, Sedric Group 5 Quincy, Angel, Rodneisha O., Heidi Group 6 Tierra, Tracy, Tyler, Brandi Group 4 Akiya, Johnika, Howard, Jacob Group 9 Group 7 Josh D., Taylor, Lashannia, [Johnathan] Group 8 Ashley, Marlon, Durand, Agelica

  5. Projector Front Door 4th Period Group 3 Celeste, Hannah, Treshon, Darneisha Group 1 Mankisha, Desmond, Wilbert, Taylor Group 2 Brittney, Jarion, Jemeca, Kendall Group 4 Deston, Selena, Quoc, Thuy Group 6 Tatiyaan, Katie, Holloway, Cornell Group 5 Haley, Adam, Arthur, Stephen Group 7 Raven, Chasity, Frank Group 8 Kenisha, Jamal, Jeanette Group 9 Brhea, Martha, Kevin

  6. Projector Front Door 5th Period Group 2 Gina, Breonne, Granville, Tyler Group 3 Chyna, Qiana, Ida, Dominique Group 1 J’Don, Felix, Desman, Erica Group 5 Natosha, James, De’Jonel, Jandolyn Group 4 Aujuan, Stephon, Jasmine, Mikell Group 6 Timberly, Jesse, Breionna, Nathan Group 7 Rikki, Justin, Mario, Chassidy Group 9 Group 8 Mason, Brianna, DeJonel Paul

  7. 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?

  8. 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.

  9. 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!!!!

  10. Notes – Scientific Notation Key Point #1 : Scientific notation is a way of abbreviating very large or very small numbers. Exponent 3.03 x 106 3 Parts! Number Power of 10

  11. Key Point #2: A number in correct scientific notation has only one non-zero number to the left of the decimal. Scientific Notation 3.03 x 106

  12. 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!

  13. 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 .

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

  16. Big Numbers  Scientific Notation So, how do we use that number 7??? 3.2 4 0 0 0 0 0 x 107

  17. 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 .

  18. 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 .

  19. 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 .

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

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

  22. Positive and Negative Exponents • Key Point #3:If the number isBIG then the exponent is POSITIVE; if the number is small then the exponent isNEGATIVE.

  23. Positive Exponent Every time you move the decimal to the RIGHT, exponent DECREASES by 1. 5 6 x 103 . 2

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

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

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

  27. 2250000 Scientific Notation

  28. 2.250000 2.25 x 106 Scientific Notation

  29. 10 300 000 000 Scientific Notation

  30. 1.0300000000 1.03 x 1010 Scientific Notation

  31. 0.000055 Scientific Notation

  32. 00005.5 5.5 x 10-5 Scientific Notation

  33. 9870000 0.00000987 Scientific Notation

  34. 9870000 9.87 x 106 0.00000987 9.87 x 10-6 Scientific Notation

  35. 8.1 x 103 9.4 x 10-2 Scientific Notation

  36. 8.1 x 103 8100 9.4 x 10-2 0.094 Scientific Notation

  37. CONVERSIONS • GET READY FOR AWESOME!

  38. 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

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

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

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

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

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

  44. 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?

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

  46. Practice! • The average human eye blink is 300 milliseconds. Convert this to hectoseconds.

  47. 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.

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