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Metric and Non-Metric Conversion Problems Metric to Metric Conversions Q 1) Convert 5 meters to centimeters. Conversion Factor(s): 1 m = 100 cm 3 Step Solution: 1. Start with the given, in this example it’s 5 m. 2. Use the conversion factor and make a fraction from it such that it cancels out the known unit. 3. Cancel out numbers and units to get the unknown. You can make two fractions from the conversion factor (1m = 100cm). 1m 100 cm OR 100 cm 1m Our aim is to cancel out the meters and retain the Cm in the final answer. So setup the problem by using the second fraction. Metric to Metric Conversions Q 1) Convert 5 meters to centimeters. Conversion Factor(s): 1 m = 100 cm Solution: 100 cm 5m 500 cm 1m Metric to Metric Conversions Q 2) Convert 0.5 meters to millimeters. Conversion Factor(s): 1 m = 100 cm 1 cm = 10 mm Solution: Metric to Metric Conversions Q 3) Convert 750 meters to kilometers. Conversion Factor(s): 1 km = 1000 m Solution: 1km 750m 1000m 750 km 0.75km 1000 1000 m 750 m ? 1km Metric to Metric Conversions Q 4) Convert 50 milligrams to kilograms. Conversion Factor(s): 1 kg = 1000 g 1 g = 1000 mg Solution: Mixed Conversions Q 5) Convert 175 centimeters to feet. Conversion Factor(s): 1 ft = 30 cm Solution: 1 ft 175cm 30cm 5.83 ft Mixed Conversions Q 6) Convert 80 kilograms to pounds. Conversion Factor(s): 1 kg = 2.2 lb Solution: Mixed Conversions Solution: Q 7) Convert 1mile to yards. Conversion Factor(s): 1 mile = 1609 m 1 m = 1.1 yards 1609m 1.1yards 1m ile 1m ile 1m 1769.9 yards Mixed Conversions Q 8) You paid $62 to fill a tank at $3.95 per gallon. Your car gives 28 miles/gallon. How far can you drive? Conversion Factor(s): Solution: Mixed Conversions Q 9) Convert 60 ounces to kilograms. Conversion Factor(s): 1 oz = 28 g 1kg = 1000 g Solution: 28g 1kg 60oz 1oz 1000g 1.68kg Mixed Conversions Q 10) Convert 100 mph to kmph. Conversion Factor(s): 5 miles = 8 km Solution: Mixed Conversions Q 11) Convert 100 mph to meters per second. Conversion Factor(s): 1 mile = 1609 m 1 h = 3600 s Solution: 100miles 1609m 1h 1h 1mile 3600s 44.69m / s Mixed Conversions Q 12) Convert 6 feet 3 inches to meters. Conversion Factor(s): 1 m = 3.3 ft 1 inch = 2.54 cm 1 m = 100 cm Solution: Mixed Conversions Q 13) How many seconds are there in a day? Conversion Factor(s): Solution: 24h 60 min 60s 1d 1d 1h 1 min 86,400s Mixed Conversions Q 14) Calculate the number of days a person of age 16 years, 3 months, and 2 weeks has lived so far. Conversion Factor(s): As usual Solution: Mixed Conversions Q 15) If a persons’ heart beats 72 times per minute, how many times does his heart beat in one day? Conversion Factor(s): As usual Solution: 72beats 60 min 24h 1 min 1h 1d 103,680beats/ day