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

2. Dimensional Analysis The 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 10 23 atoms = 1 mole

3. Dimensional Analysis The 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.

4. Dimensional Analysis Example 1. 20,000. ft = _______________ miles 20,000 ft1 mile 15,280 ft = 3.7879 miles

5. Dimensional Analysis 1.00 second1 minute1 hour1 day 160 seconds60 minutes24 hours 2. How many days are in 1.00 seconds? = 1.16 x 10 -5 days

6. Dimensional Analysis Conversion 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 y 365.24 days = 1 y4 qts = 1 gal 3600 s = 1 hr 3600 s = 1 hr 4 cups = 2 pints = 1 qt

7. Factor Label and the metric system Use 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. ) 1) 100 cm  ____m 2) 0.001 m  ____mm 3) 1000 g  ____ Mg 4) 342 μs  ____ s  ____ hours 5) 264.77 ml  _____ dl