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Arithmetic with units

# Arithmetic with units - factors 5 check the result does the...

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Arithmetic with units addition and subtraction: units don't change 2 kg + 3 kg = 5 kg 412 m - 12 m = 400 m o consequence: units must be the same before adding or subtracting! 3.001 kg + 112 g = 3.001 kg + 0.112 kg = 3.113 kg 4.314 Gm - 2 Mm = 4.314 Gm - 0.002 Gm = 4.312 Gm multiplication and division: units multiply & divide too 3 m × 3 m = 9 m 2 10 kg × 9.8 m/s 2 = 98 kg m/s 2 o consequence: units may cancel 5 g / 10 g = 0.5 (no units!) 10.00 m/s × 39.37 in/m = 393.7 in/s Converting Units 5 step plan for converting units 1. identify the unknown, including units 2. choose a starting point 3. list the connecting conversion factors 4. multiply starting measurement by conversion
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Unformatted text preview: factors 5. check the result: does the answer make sense? • Common variations 1. series of conversions example: Americium (Am) is extremely toxic; 0.02 micrograms is the allowable body burden in bone. How many ounces of Am is this? 2. converting powers of units 3. converting compound units 4. starting point must be constructed • using derived units as conversion factors 1. mass fractions (percent, ppt, ppm) convert mass of sample into mass of component 2. density converts mass of a substance to volume 3. velocity converts distance traveled to time required 4. concentration converts volume of solution to mass of solute...
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