SCIENTERRIFIC NOTATION. Scientific Notation a x 10 b a = a real number greater than or equal to 1...
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Transcript of SCIENTERRIFIC NOTATION. Scientific Notation a x 10 b a = a real number greater than or equal to 1...
SCIENTERRIFIC NOTATION
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
Scientific Notation
5,236
20
695,403
3
0.000741
12,054,055.4
4.54 x 109
13.82 x 109
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
HOW TO MEASURE
SCIENTERRIFICALLY
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?
Precision vs. Accuracy
A B
DC
Consistency Bull’s Eye
The Unit of Uncertainty
14.78
The Unit of Uncertainty
14.78
1.2? 1.3?
1.24? 1.25? 1.26?
1.43? 1.44?
SIGNIFICANT FIGURES
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.
THE METRIC SYSTEM
The Metric System!!!What can we measure?
• 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
Awkward USA Measuring
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
Break the Code!10-2 pedes
106 phones
101 cards
10-12 boo
10-6 scope
iPod 10-9
1012 bull
106 n
poor 10-1 sion
109 ntic
103 be killed
102 heaven
101 monster
10-1 mate
10-2 candles
10-3 vanilli
Convert the following to meters, grams, or liters
1. 186 milligrams
2. 200 megameters
3. 86.6 deciliters
4. 1.25 x 103 kilograms
5. 807.987 feet
6. 8.2 US gallons
7. 282.3 US pints
8. 287.6789 miles
9. 8.7 x 104 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 1012 short tons
Convert the following to meters, grams, or liters
1. 1.86 x 10-1 grams
2. 2.00 x 108 meters
3. 8.66 liters
4. 1.25 x 106 grams
5. 2.46274 x 102 meters
6. 3.10404 x 101 liters
7. 1.33578 x 102 liters
8. 4.62974 x 105 meters
9. 2.65176 x 104 meters
10. 3.93718 x 105 grams
11. 3.3336 x 103 meters
12. 3.69669 x 10-2 liters
13. 9.144 x 101 meters
14. 3.048 meters
15. 5 x 103 meters
16. 9.7 x 10-10 grams
17. 1.83642 meters
18. 1.71458 x 1018 grams
Convert the following to meters, grams, or liters
1. 1.86 x 10-1 grams
2. 2 x 108 meters
3. 8.66 liters
4. 1.25 x 106 grams
5. 2.46274 x 102 meters
6. 3.1 x 101 liters
7. 1.336 x 102 liters
8. 4.629740 x 105 meters
9. 2.7 x 104 meters
10. 3.9 x 105 grams
11. 3.3 x 103 meters
12. 3.7 x 10-2 liters
13. 9 x 101 meters
14. 3 meters
15. 5 x 103 meters
16. 9.7 x 10-10 grams
17. 1.84 meters
18. 1.71 x 1018 grams