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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.

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Presentation on theme: "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."— Presentation transcript:

1 SCIENTERRIFIC NOTATION

2 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

3 Scientific Notation 5,23620695,40330.00074112,054,055.4 4.54 x 10 9 13.82 x 10 9

4 Scientific Notation 5.236 x 10 3 2.0 10 1 6.95403 x 10 5 3 x 10 0 7.41 x 10 -4 1.20540554 x 10 7 4.54 x 10 9 1.382 x 10 10

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7 HOW TO MEASURE SCIENTERRIFICALLY

8 100 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?

9 Precision vs. Accuracy A B DC Consistency Bull’s Eye

10 The Unit of Uncertainty 14.78

11 The Unit of Uncertainty 14.78

12 1.2? 1.3?

13 1.24? 1.25? 1.26?

14 1.43? 1.44?

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21 SIGNIFICANT FIGURES

22 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.

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28 THE METRIC SYSTEM

29 The Metric System!!! What can we measure? Distance/LengthDistance/Length MassMass ForceForce VolumeVolume TemperatureTemperature TimeTime Inches, Feet, miles Ounces, pounds Ounces, pounds Pints, quarts, gallons Fahrenheit Seconds, minutes, hour Meters Grams Newtons Liters Celsius Seconds Awkward USA Measuring

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31 How old is the Earth in metric years? A. 4.54 megayears B. 4.54 nanoyears C. 4.54 terayears D. 4.54 gigayears E. 4.54 dekayears

32 Break the Code! 10 -2 pedes 10 6 phones 10 1 cards 10 -12 boo 10 -6 scope iPod 10 -9 10 12 bull 10 6 n poor 10 -1 sion 10 9 ntic 10 3 be killed 10 2 heaven 10 1 monster 10 -1 mate 10 -2 candles 10 -3 vanilli

33 Convert the following to meters, grams, or liters 1.186 milligrams 2.200 megameters 3.86.6 deciliters 4.1.25 x 10 3 kilograms 5.807.987 feet 6.8.2 US gallons 7.282.3 US pints 8.287.6789 miles 9.8.7 x 10 4 feet 10. 62 stones 11. 1.8 nautical miles 12. 2.5 tablespoons 13. 100 yards 14. 10 feet 15. 5 kilometers 16. 9.7 x 10 -7 milligrams 17. 72.3 inches 18. 1.89 x 10 12 short tons

34 Convert the following to meters, grams, or liters 1.1.86 x 10 -1 grams 2.2.00 x 10 8 meters 3.8.66 liters 4.1.25 x 10 6 grams 5.2.46274 x 10 2 meters 6.3.10404 x 10 1 liters 7.1.33578 x 10 2 liters 8.4.62974 x 10 5 meters 9.2.65176 x 10 4 meters 10. 3.93718 x 10 5 grams 11. 3.3336 x 10 3 meters 12. 3.69669 x 10 -2 liters 13. 9.144 x 10 1 meters 14. 3.048 meters 15. 5 x 10 3 meters 16. 9.7 x 10 -10 grams 17. 1.83642 meters 18. 1.71458 x 10 18 grams

35 Convert the following to meters, grams, or liters 1.1.86 x 10 -1 grams 2.2 x 10 8 meters 3.8.66 liters 4.1.25 x 10 6 grams 5.2.46274 x 10 2 meters 6.3.1 x 10 1 liters 7.1.336 x 10 2 liters 8.4.629740 x 10 5 meters 9.2.7 x 10 4 meters 10. 3.9 x 10 5 grams 11. 3.3 x 10 3 meters 12. 3.7 x 10 -2 liters 13. 9 x 10 1 meters 14. 3 meters 15. 5 x 10 3 meters 16. 9.7 x 10 -10 grams 17. 1.84 meters 18. 1.71 x 10 18 grams


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