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SCH4C - FACTOR LABEL PACKET NAME: ___________________________________ HR: _________ PAGE 1 Factor Label Worksheet #1: Factor Label # what you want to find = what you know x the fraction(s) you need to get your answer Example: what you want to find = hours what you know = the movie is 101 minutes the fraction (or definition) you need to get your answer = 1 hour = 60 minutes The set-up would look like: # hours = 101 min x 1 hour = 1.6833333 = 1.68 hours 60 min Notice the cancelled out the units and the circled final answer. You will be expected to be able to use and memorize several metric units. Generally speaking grams are used to measure mass, liters and cm3 are used for volume and meters are used for length. For length: For mass: 1 meter = 1000 millimeter 1 gram = 1000 milligrams 1 meter = 100 centimeter 1 gram = 100 centigrams 1 meter = .001 kilometer 1 gram = .001 kilograms (or you may use 1000 m = 1 km) (or you may use 1000 g = 1 kg) For volume: 1 liter = 1000 milliliter 1 liter = 100 centiliter 1 liter = .001 kiloliter (or you may use 1000L = 1 kL) 1 milliliter = 1 cubic centimeter (cm3) For time: 1 year = 365 days 1 leap year = 366 days 1 day = 24 hours 1 hour = 60 minutes 1 minute = 60 seconds 1 second = 1000 milliseconds Use the factor label method shown above to solve the following problems neatly and on a separate sheet of paper. I realize that many of you can solve these in your head. I am giving you easy problems to learn the problem solving method you will be expected to use for the entire year. Find the number of: 1. grams in 355 milligrams 6. seconds in 101 minutes 2. centimeters in 245 meters 7. meters are in 12 kilometers 3. liters in 885 milliliters 8. milliseconds are in 45 seconds (1000ms = 1s) 4. kilograms in 352 grams 9. centiliters in 6.72 liters 5. minutes in 24 hours 10. millimeters there are in 0.25 meters SCH4C - FACTOR LABEL PACKET NAME: ___________________________________ HR: _________ PAGE 2 Factor Label Worksheet # 2: Multi-Step Factor Label Problems In worksheet #1 you learned how to do simple one step factor label problems. Most of the problems will not be that easy. Problems will involve two, three, and even four steps. The only difference between this type of problem and the other is that you need to use more than one conversion or definition. Example: For some reason you need to find out how many days the above movie will last. The new problem will need to be sorted out: what you want to find = days what you know = the movie is 101 minutes the definitions you need to get your answer = 1 hour = 60 minutes = 1 day = 24 hours The set-up for the new problem: # days = 101 minutes x 1 hour x 1 day = 0.070138 = 0.0701 days 60 min 24 hr Using the factor-label method, solve the following problem. Take what you know to the base unit and then convert again to get the desired unit. Find the number of: 1. seconds in a hour 6. kiloliters in 54.8 centiliters 2. millimeters in 0.025 kilometer 7. milligrams in 85.1 centigrams 3. kilograms are in 345 milligrams 8. centimeters in 42.5 kilometers 4. kilometers in 785 centimeter 9. seconds in 4 days 5. centiliters in 35.4 milliliters 10. milliseconds in one chemistry class (assume 88 minutes class) 1000 ms = 1 s