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FACTOR-LABEL METHODWrite the number and the units you are starting with (the “given” information) as a fraction with a one (1) as the denominator (1st fraction)Find the appropriate conversion factor (relationship between the starting units and the finishing units)Set up the conversion factor (2nd fraction):-The units you are starting out with go on the bottom (denominator) so that they cross-off4743450178435-The units you want to end up with go on the top (numerator)Multiply the numerators28860758890Multiply the denominators31337257175500Divide the numerator by the denominatorWrite your answer including the unitsGUIDED PRACTICE PROBLEMS: Convert 20.33 m to kmKnown (given)= 20.33 mUnknown (answer)= _________ kmConversion factor 1000 m = 1.00 km20.33 m11 km1000 m= ?kmIn your calculator: (20.33)(1) ÷ (1)(1000) = ?Convert 13.05 mL to LKnown (given) = 13.05 mLUnknown (answer)= _________ LConversion factor 1000 mL = 1.00 L13.05 mL11 L1000 mL= ?LIn your calculator: (13.05)(1) ÷ (1)(1000) = ? Convert 32.27 kg to gKnown (given)= 32.27 kgUnknown (answer)= _________ gConversion factor1000 g = 1.00 kg32.27 kg11000 g1 kg= ?gIn your calculator: (32.27)(1000) ÷ (1)(1) = ? Convert 13.09 mm to mKnown (given)= 13.09 mmUnknown (answer)= _________ mConversion factor1000 mm = 1.00 m13.09 mm11 m1000 mm= ?mIn your calculator: (13.09)(1) ÷ (1)(1000) = ?Convert 3.47 mg to g Known (given)= 3.47 mgUnknown (answer)= _________ gConversion factor1000 mg = 1.00 g3.47 mg1 g mg= ?gConvert 33.81 kg to gKnown (given)= _________ kgUnknown (answer)= _________ gConversion factor1000 g = 1.00 kg33.81 kg1 kg= Convert 9.92 L to mLConversion factor: 1000 mL = 1.00 L9.92 L1 mL L=Convert 2.61 g to mgConversion factor: 2.61 g1 =Convert 24.37 km to mConvert 28.77 L to mLConvert 22.04 kg to gConvert 9.42 L to mLConvert 20.03 m to mmINTEGRATED PRACTICE: Show all of your work using the factor-label methodConversion Factors:1 kg = 2.2 lbs1 inch = 2.54 cm1 km = 0.6215 miles2.5 kg = _______ lbs1.0 lb = _______ kg100.0 cm =________ inches12.0 in = ________ cm1.0 mi = ________ km5.0 km = ________ mi36 in = ________ m250 m = ________ miWrite the prefixes for the metric system in order, left to right (smallest largest).MORE METRIC CONVERSIONS:SHOW ALL WORKSHOW ALL WORKSHOW ALL WORK2. 4 m = _____mm 3. 49 cm = _____m 4. 16 kg = _____g5. 97 cm = _____mm 6. 25 L = _____mL 7. 437 mg = _____g8. 4.3 km = _____m 9. 5 mm = _____cm 10. 1.6 L = _____mL11. 87.5 cm = _____m 12. 9762 g = ______kg 13. 8.9 cm = _____mm14. 3.42 m = _____cm 15. 576 L = _____kL 16. 56 g = _____mg17. 97.62kg = ______g 18. 2.5 kL = _____L 19. 4.37 mg = _____g20. 5.5 cL = ______ mL21. 8.47 kg = ____ cg22. 253 mm = ____ kmLearn the meaning of the SI prefixes listed below. These prefixes can be used with any SI base measure. For example, 1 kg = 103 g, 1 km = 103 m, 1 kL = 103 LSI PREFIXES:PrefixSymbolMultipliergiga- G× 109mega-M× 106kilo-k× 103SI BASE UNITS:Lengthmeters (m)Masskilograms (kg)Volumecubic meters (m3)Timeseconds (s)Temperaturekelvins (K)PrefixSymbolMultiplierdeci-d× 10-1centi-c× 10-2milli-m× 10-3micro-?× 10-6nano-n× 10-9OTHER COMMON UNIT CONVERSIONS:Volume: 1 liter (L) = 1 dm3 = 103 cm31 mL = 1 cm3Make the following calculations and conversions. Show work. Include units throughout the problem. Circle your final answer. Report answers rounded to the correct number of significant figures. Present neat and organized solutions (show your work and record your answers on a separate sheet of paper).Convert 0.058 grams to centigrams.Convert 2.45 × 10-7 meters to nanometers.Convert 1.5 kilograms to milligrams.Trent Cole is a defensive end for the Philadelphia Eagles. According to the Philadelphia Eagles homepage, he stands 6’3” tall. Convert 6’3” to centimeters. Exactly 2.54 cm equals 1 in.According to the same source, Trent Cole weighs 270 lb. Calculate Trent’s mass in kilograms. Assume 1 lb equals 454 grams. Convert 250 cubic centimeters to liters.Convert 0.00000083 milligrams to micrograms.Convert 2.5 gigahertz to megahertz.A car travels at a speed of 140 kilometers per hour. Convert this speed to meters per second.A car travels at a speed of 35 mi/h. Convert this speed to m/s. Assume that 1.609 km = 1 mi.How many kilometers will light travel in one year? The measured speed of light in a vacuum is 3.00 × 108 m/s.It takes Eagles’ tailback LeSean McCoy 4.5 seconds to run 100 yards. How long will it take LeSean to run 100 meters? (2.54 cm = 1 in.)Gold has a density of 19.3 grams per cubic centimeter. Convert this density to kilograms per liter.What is the mass of a 50.0 mL sample of lead? The density of lead is 11.4 g/cm3.A box measures 25 centimeters by 33 millimeters by 4.5 × 104 micrometers. Calculate the volume of the box in liters.A cube has a volume of 1.95 liters. Calculate the length of an edge of the cube in centimeters.Convert the volume of the box from question 16 to cubic inches. ................
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