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SCIENTERRIFIC NOTATION

SCIENTERRIFIC NOTATION. Scientific Notation. a x 10 b a = a real number greater than or equal to 1 and less than 10 b = an exponent or power of 10 that indicates the magnitude of the measurement; positive (+) exponent is larger than 1; negative (-) exponent in smaller than 1.

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SCIENTERRIFIC NOTATION

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  1. SCIENTERRIFIC NOTATION

  2. Scientific Notation a x 10b a= a real number greater than or equal to 1 and less than 10 b= an exponent or power of 10 that indicates the magnitude of the measurement; positive (+) exponent is larger than 1; negative (-) exponent in smaller than 1

  3. Scientific Notation 5,236 20 695,403 3 0.000741 12,054,055.4 4.54 x 109 13.82 x 109

  4. Scientific Notation 5.236 x 103 2.0 101 6.95403 x 105 3 x 100 7.41 x 10-4 1.20540554 x 107 4.54 x 109 1.382 x 1010

  5. HOW TO MEASURESCIENTERRIFICALLY

  6. 100 miles vs. 96.7 miles One of your parents tells you that Grandma’s house is 100 miles from your house. You and your family drive to Grandma’s house and your car’s odometer measures the trip to be 96.7 miles. Is your parent wrong?

  7. Precision vs. Accuracy Consistency Bull’s Eye A B C D

  8. The Unit of Uncertainty 14.78

  9. The Unit of Uncertainty 14.78

  10. 1.2? 1.3?

  11. 1.24? 1.25? 1.26?

  12. 1.43? 1.44?

  13. SIGNIFICANT FIGURES

  14. SIGNIFICANT FIGURES Significant Figures (i.e. sig figs) are digits of quantitative data that contribute to the precision of the measurement. Insignificant figures are digits that play no role in the precision of the measurement. Insignificant figures will be absent when the measurement is written in Scientific Notation.

  15. THE METRIC SYSTEM

  16. The Metric System!!! What can we measure? Awkward USA Measuring • Distance/Length • Mass • Force • Volume • Temperature • Time Inches, Feet, miles Ounces, pounds Ounces, pounds Pints, quarts, gallons Fahrenheit Seconds, minutes, hour Meters Grams Newtons Liters Celsius Seconds

  17. How old is the Earth in metric years? • 4.54 megayears • 4.54 nanoyears • 4.54 terayears • 4.54 gigayears • 4.54 dekayears

  18. Break the Code! 10-2 pedes 106 phones 101 cards 10-12 boo 10-6 scope iPod 10-9 1012 bull 106 n poor 10-1sion 109ntic 103 be killed 102 heaven 101 monster 10-1 mate 10-2 candles 10-3vanilli

  19. Convert the following to meters, grams, or liters • 186 milligrams • 200 megameters • 86.6 deciliters • 1.25 x 103 kilograms • 807.987 feet • 8.2 US gallons • 282.3 US pints • 287.6789 miles • 8.7 x 104 feet • 62 stones • 1.8 nautical miles • 2.5 tablespoons • 100 yards • 10 feet • 5 kilometers • 9.7 x 10-7 milligrams • 72.3 inches • 1.89 x 1012 short tons

  20. Convert the following to meters, grams, or liters • 1.86 x 10-1 grams • 2.00 x 108 meters • 8.66 liters • 1.25 x 106 grams • 2.46274 x 102 meters • 3.10404 x 101 liters • 1.33578 x 102 liters • 4.62974 x 105meters • 2.65176 x 104 meters • 3.93718 x 105 grams • 3.3336 x 103 meters • 3.69669 x 10-2 liters • 9.144 x 101 meters • 3.048 meters • 5 x 103meters • 9.7 x 10-10 grams • 1.83642 meters • 1.71458 x 1018grams

  21. Convert the following to meters, grams, or liters • 1.86 x 10-1 grams • 2 x 108 meters • 8.66 liters • 1.25 x 106 grams • 2.46274 x 102 meters • 3.1 x 101 liters • 1.336 x 102 liters • 4.629740 x 105meters • 2.7 x 104 meters • 3.9 x 105 grams • 3.3 x 103 meters • 3.7 x 10-2 liters • 9 x 101 meters • 3 meters • 5 x 103meters • 9.7 x 10-10 grams • 1.84 meters • 1.71 x 1018grams

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