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Dimensional Analysis Math technique used for conversion problems.
Factor Label Method Dimensional Analysis Math technique used for conversion problems.
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Factor Label Method Not the same as the proportion technique.
More powerful in multistep problems. In the factor-label method, you use a conversion factor to express the quantity in the desired units. Set up your calculation so the units cancel out.
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Factor Label Method If you have 8 dozen eggs, how many eggs do you have? That’s the given information. 8 Doz eggs X 12 eggs = 96 eggs 1 Doz eggs That’s the answer That’s the conversion factor.
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Another Example of the Factor-Label Method
How many quarts are in 3.5 gallons? Equality you know: 1 gallon = 4 quarts. Format = Given X Conversion Factor = Ans Conversion Factor is a fraction built from the equalities. You put it together so the units cancel out. The value of the fraction is “one.”
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Gallons to Quarts 3.5 Gallons X 4 Quarts = 14 Quarts 1 Gallon
Identify the given, the conversion factor, and the answer.
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Conversion factors Write conversion factors with the following relationships: 100 centimeters = 1 meter 1 dozen = 12 3 feet = 1 yard 5280 feet = 1 mile 1 km = .621 miles
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Practice Problems How many liters are in milliliters?
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Practice Problem 9.85 meters are equal to how many centimeters?
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