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Dimensional Analysis

Dimensional Analysis. Conversions & Scientific Notation. 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”.

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Dimensional Analysis

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  1. 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 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 453.59 g = 1 lb

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

  13. VolumeConversions 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 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 15000 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 NotationConvenient 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: 7538000 = 0.0000000000000896 = Convert to regular numbers: 6.97 x 10-7 = 3.21 x 108 =

  21. Correct the following Scientific Notation: 0.0235 x 10-13 = 5635 x 10-9 = 32569 x 105 = 0.000054 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 103+4 15.531 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 103+4 15.531 x 107 1.5531 x 108

  26. 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. 7.63 x 103= 8.62 x 104

  28. Dividing Divide numbers, subtract exponents, correct Sci. Not. 7.63 x 103=7.63x 103-4 8.62 x 104 8.62

  29. Dividing Divide numbers, subtract exponents, correct Sci. Not. 7.63 x 103=7.63x 103-4= 0.885 x 10-1 8.62 x 104 8.62

  30. Dividing Divide numbers, subtract exponents, correct Sci. Not. 7.63 x 103=7.63x 103-4= 0.885 x 10-1 8.62 x 104 8.62 0.885 x 10-1 = 8.85 x 10-2

  31. Dividing Try These 5.32 x 10471.49 x 1093.21 x 107 1.25 x 1013 7.25 x 1056.11 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 )

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