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Factor label method

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1. Conversion factors are fractions that relate units of the same kind and allow conversions between units. 2. To use a conversion factor, write the quantity and original units, then write a fraction with the desired unit in the numerator or denominator to cancel out the original unit. 3. Examples are provided for converting between meters and kilometers, kilometers per hour to meters per second, and grams per milliliter to kilograms per cubic meter using appropriate conversion factors.

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Factor – Label Method To convert units we need what we call a conversion factor. Conversion factors are valid relations between units of the same kind or equities expressed as a fraction. Steps to be followed for each conversion factor (fraction): 1. Write down the quantity and the units you want to be converted. The symbol for the unit that we want to obtain will be placed in the place of the fraction where we want it to be (denominator or numerator). The symbol for the unit that we want to cancel (eliminate) will be placed in the remaining space of the fraction (numerator or denominator). 2. In the conversion factor: Write 1 before the highest unit and the equivalent quantity before the other unit in the conversion factor..
Factor label method
Examples: 1. 1200 m to km 2. 72 km/h to m/s 3. 1,6 g/ml to kg/m3 Finalizar
Factor label method
1200 m to km 1 km 1200 · 1 1200 m x km 1,2 km 1000 m 1000 Unit we want to obtain Write 1 before the hightest unit (km are higher than m) Unit we want to eliminate goes in the denominator to cancel it . Here we will write the equivalent: 1 km equals1000 m End Other examples
Factor label method
72 km/h to m/s km 1000 m 1 h 72 · 1000 · 1 m m 72 x x 20 h 1 km 3600 s 1 · 3600 s s This conversion This conversion factor factor leaves m leaves permite s in the in numerator y denominator and allows us and km are to cance the h (numerator) cancelled (denominator) End More examples
Factor label method
1,6 g/ml to kg/m3 g 1 kg 1000000 cm3 1,6·1·1000000 kg kg 1,6 x x 1600 cm3 1000 g 1 m3 1000 · 1 m3 m3 This conversion This conversion factor leaves permite factor leaves kg m3 in the denominator and allows us in numerator y to cancel the cm3 (numerator) and g are cancelled (denominator) End More examples

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Factor label method

  • 1. Factor – Label Method To convert units we need what we call a conversion factor. Conversion factors are valid relations between units of the same kind or equities expressed as a fraction. Steps to be followed for each conversion factor (fraction): 1. Write down the quantity and the units you want to be converted. The symbol for the unit that we want to obtain will be placed in the place of the fraction where we want it to be (denominator or numerator). The symbol for the unit that we want to cancel (eliminate) will be placed in the remaining space of the fraction (numerator or denominator). 2. In the conversion factor: Write 1 before the highest unit and the equivalent quantity before the other unit in the conversion factor..
  • 3. Examples: 1. 1200 m to km 2. 72 km/h to m/s 3. 1,6 g/ml to kg/m3 Finalizar
  • 5. 1200 m to km 1 km 1200 · 1 1200 m x km 1,2 km 1000 m 1000 Unit we want to obtain Write 1 before the hightest unit (km are higher than m) Unit we want to eliminate goes in the denominator to cancel it . Here we will write the equivalent: 1 km equals1000 m End Other examples
  • 7. 72 km/h to m/s km 1000 m 1 h 72 · 1000 · 1 m m 72 x x 20 h 1 km 3600 s 1 · 3600 s s This conversion This conversion factor factor leaves m leaves permite s in the in numerator y denominator and allows us and km are to cance the h (numerator) cancelled (denominator) End More examples
  • 9. 1,6 g/ml to kg/m3 g 1 kg 1000000 cm3 1,6·1·1000000 kg kg 1,6 x x 1600 cm3 1000 g 1 m3 1000 · 1 m3 m3 This conversion This conversion factor leaves permite factor leaves kg m3 in the denominator and allows us in numerator y to cancel the cm3 (numerator) and g are cancelled (denominator) End More examples