Dimensional AnalysisDimensional Analysis The process of solving problems using conversion factors to convert measurements from givens to usable quantities.This process is sometimes called the Factor-Label method.

Dimensional AnalysisThe Factor-Label method requires us to use ratios equal to one. These are called Conversion Factors

EX. 24 hrs = 1 day 12 inches = 1 foot 6.02 x 1023 atoms = 1 mole

Dimensional AnalysisThe Main Rule Always deal with the units 1st then the numbers that match the units.Steps 1. Determine the Given or Starting Value.

2 Write the given (include units) as fraction (Place over 1)

3. Determine the unit that needs to be cancelled and place in the appropriate location in the factor- label table.

4. Use the matching conversion factor to get to desired units. 5. Repeat until you reach your answer with the correct units.

Dimensional AnalysisExample 1. 20,000. ft = _______________ miles= 3.7879 miles

20,000 ft1 mile 15,280 ft

Dimensional Analysis2. How many days are in 1.00 seconds?= 1.16 x 10-5 days

1.00 second 1 minute1 hour1 day 160 seconds60 minutes24 hours

Dimensional AnalysisConversion Factors English to Metric English to English 1 inch = 2.54 cm 12 inch = 1 ft 1 lbs = 454 g 5280 ft = 1 mile 2.2 lbs = 1 kg2000 lbs = 1 ton 1 gal = 3.79 L16 oz = 1 lbs 365.24 days = 1 y4 qts = 1 gal3600 s = 1 hr 4 cups = 2 pints = 1 qt

Factor Label and the metric systemUse of the metric line (king hecto Died drinking chocolate milk) is the easiest conversion technique, however, we can use factor label just as easy.Convert the following in your notes using the factor label method. (Complete them before the song is over.) 100 cm ____m 0.001 m ____mm 1000 g ____ Mg 342 s ____ s ____ hours 264.77 ml _____ dl