The SI System of Measurement
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Transcript of The SI System of Measurement
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The SI System of Measurement
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The Nature of Measurement
Part 1 - numberPart 2 - scale (unit)
Examples:20 grams
6.63 x 10-34 Joule·seconds
A Measurement is a quantitative observation consisting of TWO parts
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Derived SI UnitsCombinations of SI base units form derived units.pressure is measured in kg/m•s2, or pascals
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SI PrefixesCommon to Chemistry
Prefix Unit Abbr. ExponentKilo k 103
Deci d 10-1
Centi c 10-2
Milli m 10-3
Micro 10-6
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Metric ConversionsgmL 10-1 10-2 10-3101102103
Baseunit
deci centi millidekahectokilo
Conversions in the metric system are merely a matter of moving a decimal point. The “base unit” means the you have a quantity (grams, meters, Liters, etc without a prefix.
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Metric ConversionsgmL 10-1 10-2 10-3101102103
Baseunit
deci centi millidekahectokilo
Example #1: Convert 18 liters to milliliters
18 L1 2 3
18 liters = 18 000 milliliters
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Metric ConversionsgmL 10-1 10-2 10-3101102103
Baseunit
deci centi millidekahectokilo
Example #2: Convert 450 milligrams to grams
123450 mg450 mg = 0.450 g
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Metric ConversionsgmL 10-1 10-2 10-3101102103
Baseunit
deci centi millidekahectokilo
Example #3: Convert 20 kilograms to milligrams
20 kg 1 2 3 4 5 6
20 kg = 20 000 000 mg
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Conversion Factors
A conversion factor is a ratio derived from the equality between two different units that can be used to convert from one unit to the other. example: How quarters and dollars are related
4 quarters 1 dollar1 11 dollar 4 quarters
0.25 dollar 1 quarter1 11 quarters 0.25 dollar
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Conversion Factors, continued
Dimensional analysis is a mathematical technique that allows you to use units to solve problems involving measurements.
4 quarter? quarters 12 dollars 48 quarters1 dollar
quantity sought = quantity given × conversion factor
example: the number of quarters in 12 dollars
number of quarters = 12 dollars × conversion factor
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Factor Name Symbol1024 Yotta Y1021 Zetta Z1018 Exa E1015 Peta P1012 Tera T109 Giga G106 Mega M103 Kilo k102 Hecto h101 Deka da
Factor Name Symbol10-1 Deci d10-2 Centi c10-3 Milli m10-6 Micro μ10-9 Nano n10-12 Pico p10-15 Femto f10-18 Atto a10-21 Zepto z10-24 Yocto y
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Using Conversion Factors
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Conversion Factors, continuedSample Problem B Express a mass of 5.712 grams in milligrams and in kilograms.
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Conversion Factors, continuedSample Problem B SolutionExpress a mass of 5.712 grams in milligrams and in kilograms.
Given: 5.712 gUnknown: mass in mg and kgSolution: mg
1 g = 1000 mg
Possible conversion factors:
1000 mg 1 gand
g 1000 mg
1000 mg5 5. 7712 g mg
12 g
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1 kg5.712 g1000
0.005g
712 kg
Sample Problem B Solution, continuedExpress a mass of 5.712 grams in milligrams and in kilograms.
Given: 5.712 gUnknown: mass in mg and kgSolution: kg
1 000 g = 1 kg
Possible conversion factors:
Conversion Factors, continued
1000 g 1 kgandkg 1000 g