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