Conversions with Factor Label

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Presentation transcript:

Conversions with Factor Label How to change Faces into Turtles

Practice Sig Figs How many sig figs in: 100 11010 11.010 0.000540 0.0004444 104,000 104,000. 1 4 5 3 4 3 6

Factor Label Method Line up the units so they cancel out Example problem How many feet in 120 inches? There are 12in in a foot This can be written 12in or 1 foot 1 foot 12 in So the problem looks like 120 inches x 1 foot = 12 inches 120 ft = 10. ft 12

Conversions Use conversion “factors” to trade from one type of unit to the other. Just make sure the desired units are in the right place

Convert 300.9 grams to pounds How many sig figs in data? 4 How many sig figs in answer? What are units of answer? pounds What are the units of the conversion factor? Grams x pounds = pounds grams Put in numbers 300.9 grams x 1 pounds = 0.6628 pounds 454 grams

Convert 1.02 lbs to grams 454g = 1.000 lbs How many sig figs in answer? What are the units of the answer? What are the units of the conversion factor? lbs x grams = grams lbs Put in numbers 1.013 lbs x 454 grams = 459.9 grams 1.00 lbs

How About Other Practice How many sig figs in answer? What are the units of the answer? What are the units of the conversion factor? 12.509 Liters to gallons There are 3.785 L in a gallon _______ x _______ = gallons

How many joules in 3.57 kilojoules? How many megapascals in 3.78 x 104 centipascals? 3.57 x 103 3.78 x 10-4 Use agenda for conversion factors

Derived Units More than one unit in a number Density is a great example Grams per milliliter g/ml Two units How about lbs / gal to g / ml 454g / lbs and 3875 ml / gal Just do two conversions Ready for another problem

How about lbs/gal to g/ml ? X 454 g 1 lbs X 1 gal 3785 ml = 1.02 g ml

How about lbs/gal to g/ml ? X g ? X 454 g 1 lbs X 1 gal 3785 ml X 1 ? ? = 1.02 g ml

Convert mpg to kpl 100.0 miles to Km gallon liter 100.0 mpg = ? Km per l Data 3.85 liters in a gallon 1.61 km in a mile Answer Is …… 100.0 miles X 1.61 Km x 1 gallon = 41.8 km gallon 1 mile 3.85 liter liter

How many milliliters in 3.52 gallons? How many teaspoons in 13 cups? 3.85 liters in a gallon 16 cups in a gallon 2.54 cm in an inch 16 oz in a pound 0.454kg in a pound 16 tablespoons in a cup 3 teaspoons in a tablespoon How many liters in 4.98 cups? How many cm’s in 3.56 x 103 feet? How grams in 2.05 pounds? How many milliliters in 3.52 gallons? How many teaspoons in 13 cups? How many Tons in 1.53 x 106 oz.? How many Kilograms in 1.53 x 106 oz?