1. Conversions & Scientific Notation
Dimensional Analysis
Conversions
&
Scientific Notation

2. Quantity – is something that has magnitude, size, or amount (length, mass, volume) “something that is measured”
Unit – a standard of measurement (meter, kilogram, liter) “how something is measured”

3. Conversion Factor – ratio or fraction equating two different units; used to convert from one unit to the other

4. International System of Units (or SI units) –measurement system used by the scientific community worldwide Base Units are: meters, kilograms, seconds,and kelvins

5. Page 13

6. Length Conversions 1000 millimeters (mm) = 1 meter (m)
Metric to Metric
1000 millimeters (mm) = 1 meter (m)
100 centimeters (cm) = 1 meter (m)
1000 meters (m) = 1kilometer(km)

7. Metric to English
2.54 cm = 1 in

8. Practice
Convert 70 inches to centimeters Convert 1235 centimeters to feet

9. Mass – the amount of matter in a
substance
doesn’t change
Weight – a force due to gravity
-- can change depending on
location

10. Mass & Weight Conversions
Metric to Metric
1000 milligrams (mg) = 1 gram (g)
100 centigrams (cg) = 1 gram (g)
1000 grams (g) = 1 kilogram (kg)

11. Metric to English
g = 1 lb

12. Practice
Convert 4 pounds to grams Convert 13.5 kilograms to pounds

13. Volume Conversions 1000 milliliters (mL) = 1 liter (L)
Metric to Metric
1000 milliliters (mL) = 1 liter (L)
1000 liters (L) = 1 kiloliter (kL)
1 cubic centimeter (cm3) = 1 milliliter (mL)

14. Metric to English
1 L = 1.06 qt

15. Practice
Convert 15 liters to quarts Convert 6.75 quarts to milliliters

16. Time Conversions 60 seconds (sec) = 1 minute (min)
Universal Units
60 seconds (sec) = 1 minute (min)
60 minutes (min) = 1 hour (hr)
24 hours (hr) = 1 day
365 days = 1 year (yr)

17. Practice
Convert 35.6 days to hours Convert seconds to days

18. Density Mass divided by volume for any substance
Often used to identify a substance
More dense objects sink to the bottom
Common conversion factor M
D = V

19. Scientific Notation Convenient way to express long numbers
Rule #1 – only one non-zero digit to left of decimal Rule #2 – Large numbers have positive exponent, small numbers have negative exponent Rule #3 – move decimal right, subtract from exponent Rule #4 – move decimal left, add to exponent

20. Practice
Convert to Scientific Notation: = = Convert to regular numbers: 6.97 x 10-7 = 3.21 x 108 =

21. Correct the following Scientific Notation: 0
Correct the following Scientific Notation: x = 5635 x 10-9 = x 105 = x 1035 =

22. Multiplying
Multiply numbers, add exponents, correct Sci. Not. (3.1 x 103) (5.01 x 104)

23. Multiplying
Multiply numbers, add exponents, correct Sci. Not. (3.1 x 103) (5.01 x 104) (3.1 x 5.01) x 103+4

24. Multiplying
Multiply numbers, add exponents, correct Sci. Not. (3.1 x 103) (5.01 x 104) (3.1 x 5.01) x x 107

25. Multiplying
Multiply numbers, add exponents, correct Sci. Not. (3.1 x 103) (5.01 x 104) (3.1 x 5.01) x x x 108

26. Try These: (5.13 x 103) (9.87 x 1017) (6.58 x108) (1.32 x1014)
Multiplying
Try These: (5.13 x 103) (9.87 x 1017) (6.58 x108) (1.32 x1014)

27. Dividing
Divide numbers, subtract exponents, correct Sci. Not x 103 = 8.62 x 104

28. Dividing
Divide numbers, subtract exponents, correct Sci. Not x 103 = 7.63 x x

29. Dividing
Divide numbers, subtract exponents, correct Sci. Not x 103 = 7.63 x = x x

30. Dividing
Divide numbers, subtract exponents, correct Sci. Not x 103 = 7.63 x = x x x 10-1 = 8.85 x 10-2

31. Dividing
Try These
5.32 x x x 107
1.25 x x x 1011

32. Conversions with Sci. Not.
Convert 3.24 x 108 kilometers per hour to feet per second
(3.24 x 108 km/hr ? ft/sec )