Dimensional Analysis

Every measurement must have a unit Without units nothing makes sense If I said I was 12 tall. What would that mean to you?

Sometimes when working with numbers with different units, you have to convert so the units are the same. We use dimensional analysis. (aka factor label method) Essentially you multiply by a fraction that is equal to 1 The value of the number is not changed…only the units

The numerator and the denominator of the fraction must be equal. 6ft =______ in

1in= 2.54cm 5280ft= 1mi 13.5in =_______cm 8,241ft =______ mi

1in= 2.54cm 5280ft= 1mi 1yard= 3ft Sometimes it takes more than one factor to get to the correct unit. 300yards = ________mi 2.1mi =______cm

Sometimes you have compound units and both must change. Arrange the factor so that what you want to get rid of will cancel out. 12 mi/hr =_______ mi/min 360ft/s =______mi/hr

It doesn’t even matter if you understand what the units mean 1 gluk = 2.5zip 1 blag= 7mulk 1 zip = 5 mulk 23gluk =_____ blag 15blag/hr=_______zip/min