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FACTOR LABEL METHOD
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In math you use numbers, in chemistry we use quantities. A quantity is described by a number and a unit. 100 is a number : 100 Kg is a quantity
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Sometimes You Have to Convert Between Different Units How many seconds are in a day? How many inches are in a centimeter? If you are going 50 miles per hour,how many meters per second are you traveling? To answer these questions you need to change (convert) from one unit to another.
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What is dimensional analysis? The converting from one unit system to another. If this is all that it is, why make such a fuss about it? Very simple. Wrong units lead to wrong answers. Scientists have thus evolved an entire system of unit conversion.
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How does it work? It will involve some easy math (Multiplication & Division) To perform any conversion, you need a conversion factor. Conversion factors are made from any two terms that describe the same or equivalent “amounts” of what we are interested in. For example, we know that: 1 dozen = 12 12 inches= 1 foot 1 mile= 5280 ft 1 inch = 2.54 centimeters
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Look at the formula above you will use this solve the problem 60 inches=__________ ft Step one what’s your Starting unit? Inches What’s your Desired unit? Feet What conversion factor are you going to use to convert inches to feet? 1 foot= 12 inches Now plug it in!! 60 inches X 1 foot = 5ft 12 inches
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Now Use the formula and Solve these 73 inches ___________cm 1779 sec ___________minutes
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This is a DIFFERENT FORMULA LOOK!! 3.5 miles = ________m Step 1 what’s the starting unit? Correct==miles What’s the Desired? feet What are the conversion factors you will use? Look at your conversion sheet? How can we get from miles to Meters? 1 mile= 5280ft AND 1 ft = 0.3048 m Now set it up …..remember Feet will be our linking unit because it’s linking our starting to desired
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3.5 miles = ________m 3.5 miles X _______feet X ________meters = meters mile feet Now fill it in with the conversion factors 3.5 miles X 5280feet X _0.3048meters = 5632.7 meters 1 mile 1 ft 1 mile= 5280ft AND 1 ft = 0.3048 m
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3 m= ______in
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6 gal= _____ fl oz (1 gal = 4qts) (1 qt = 32 fl oz) What is Qts going to be? Correct Linking !! Now set it up like the top formula?
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7 hrs=_______seconds our conversion factors are going to be Hours to min then minutes to seconds 1 hr= 60 min AND 1 min =60 seconds Set it up
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PRACTICE How many grams in 150 pounds given the conversion factors 1 pound = 0.454 kg and 1 kg = 1000 grams
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. How many basketballs can be carried by 5 buses? · 1 bus = 12 cars · 3 cars = 1 truck · 1000 basketballs = 1 truck
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30 oranges = ______pineapples 1 pear = 2 melons 2 pineapples= 3 melons 5 pears= 4 oranges
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