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Dimensional analysis and Units of Measurements
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Dimensional analysis Dimensional analysis uses conversion factors to convert from one unit to another. Also called Factor Label (and railroad tracks) You do this in your head all the time – How many quarters are in 4 dollars?
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Dimensional analysis practice 3 Big Mac = 7 salads 9 salads = 2 slices of pepperoni pizza 22 slices of pepperoni pizza = 27 Sonic cokes Ex. 1) What number of Big Macs equal 365.4 salads? Ex. 2) How many sonic cokes do you have to drink to equal 11 salads?
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Units of Measurement Meter m Liter L Celsius C
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Mass is the amount of matter, weight is a measure of the gravitational pull on matter
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SI Units PrefixSymbolScientific notationExample TeraT1 x 10 -12 Terasecond (Ts)1 s = 1 x 10 -12 Ts MegaM1 x 10 -6 megajoule (MJ)1 J = 1 x 10 -6 MJ Kilok1 x 10 -3 kilometer (km)1 m = 1 x 10 -3 km HectoH or h1 x 10 -2 hectoliter (hL)1 L = 1 x 10 -2 hL Dekada or D1 x 10 -1 dekagram (Dg)1 g = 1 x 10 -1 Dg BASE UNIT1 x 10 0 Look at base unitsSee chart below Decid1 x 10 1 decimole (dmol)1mol = 1 x 10 1 dmol Centic1 x 10 2 centimeter (cm)1 m = 1 x 10 2 cm Millim1 x 10 3 millimole (mmol)1 mol = 1 x 10 3 mmol Microu1 x 10 6 microgram (ug)1 g = 1 x 10 6 ug Nanon1 x 10 9 nanosecond (ns)1 s = 1 x 10 9 ns Picop1 x 10 12 picojoule (pJ)1 J = 1 x 10 12 pJ Attoa1 x 10 18 attoliter (aL)1 L = 1 x 10 18 aL
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Practice In each pair below, circle the larger MillimeterCentimeter picometerMicrometer kilogramHectogram decilitermillileter
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Practice In each pair below, circle the larger MillimeterCentimeter picometerMicrometer kilogramHectogram decilitermillileter
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Practice In each pair below, circle the larger MillimeterCentimeter picometerMicrometer kilogramHectogram decilitermillileter
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Practice In each pair below, circle the larger MillimeterCentimeter picometerMicrometer kilogramHectogram decilitermillileter
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Practice In each pair below, circle the larger MillimeterCentimeter picometerMicrometer kilogramHectogram decilitermillileter
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Basic SI Units QuantityBase unit Lengthmeter (m) Massgram (g) Timesecond (s) VolumeLiter (L) TemperatureKelvin (K) or Celsius (C) Amount of substancemole (mol) Heat & Energyjoule (J)
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Metric Conversions Practice Ex. 3) 2.435 g __________________cg Ex. 4) 23.8 mL = ________________kL Ex. 5) 23.5 cs = ________________ns
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Some Useful Conversions Length: 1 in = 2.54 cm 1 mi = 5280 ft Volume: 1 cm 3 = 1 mL 1 L = 1.06 qt Weight: 1 kg = 2.2 lb 16 oz = 1 lb 1 ton = 2000 lb
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Temperature 20°C = K Use both the Kelvin and Celsius scale, to convert Celsius + 273 = Kelvin Kelvin -273 = Celsius
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Temperature 20°C = 293 K Use both the Kelvin and Celsius scale, to convert Celsius + 273 = Kelvin Kelvin -273 = Celsius
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Temperature 20°C = 293 K 373 K = °C Use both the Kelvin and Celsius scale, to convert Celsius + 273 = Kelvin Kelvin -273 = Celsius
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Temperature 20°C = 293 K 373 K = 100 °C Use both the Kelvin and Celsius scale, to convert Celsius + 273 = Kelvin Kelvin -273 = Celsius
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