METRIC SYSTEM There are two reasons why the metric system is used in the lab: The unit measurements are standardized in such a way that they will never change. The units are based on powers of 10 which make the conversions between units simple and easier than our English system. There are 7 fundamental measurements: MEASUREMENT mass length temperature time amount of substance electric current luminous intensity S.I. BASE UNIT kilogram meter Kelvin second mole ampere candela SYMBOL kg m K s mol A cd All measurements are either a fundamental measurement or a derived measurement (consist of 2 or more fundamental measurements). In the lab, the commonly used units are: MEASUREMENT mass length temperature time volume UNIT gram centimeter Celsius second liter SYMBOL g cm °C s L The metric system uses prefixes to obtain the different magnitudes of the base units. Each prefix represents a power of 10 and has a symbol to go along with it. PREFIX exa peta tera giga mega kilo hecto deka base unit deci centi milli micro nano pico femto atto SYMBOL E P T G M k h da d c m μ n p f a POWER 18 10 15 10 12 10 9 10 6 10 3 10 2 10 1 10 0 10 −1 10 −2 10 −3 10 −6 10 −9 10 −12 10 −15 10 −18 10 By using the symbol for the prefix and base unit, one can get the symbol for the different units. centimeter → cm milliliter → mL microsecond → μs megameter → Mm Since each prefix represents a power of 10, by knowing what the prefix means you can convert from one metric unit to another by just moving the decimal the right number of places in the correct direction. There are 2 basic rules to follow in doing this: Number of Places to Move Decimal: Find the difference between the powers of 10 for the prefixes involved. Direction to Move Decimal: Move the decimal in such a way so that the smaller unit (lower power of 10) ends up with the larger number. Examples: change 150 mL to L change 2.56 kg to cg −3 0 Since milli is 10 and L is the base unit it is 10 . Therefore the difference between the two units is 3 decimal places. Since mL is smaller than L, the decimal will move to the left to get a smaller number for the L (thus mL ends up the larger number). 3 −2 Since kilo is 10 and centi is 10 , the difference between the two units is 5 decimal places. Since cg is smaller than kg, the decimal will move to the right so cg gets a larger number than kg 2.56 kg = 256000 cg 150 mL = 0.15 L Some other equivalences to note: 3 1 mL = 1 cm 3 1 L = 1 dm −10 1 Å = 10 m (Å is angstrom, a common length measurement used for extremely small particles) 1 nm = 10 Å