Instructions: Conversions can be done with proportions or dimensional analysis. On this worksheet. you will practice both. Part A: Setting up dimensional analysis for basic conversions 1] 4 miles = feet [1 mile = 5.25:) feet} Dimensional Analysis 4 \""55 . M :- Dimensional analysis uses a 1 1 mile multiplication symbol. n The rst ratio is what is given with a denominator of 1. e The second ratio is the conversion rate. a The second ratio is set up so the giyen label cancels and the desired label remains. 2] 5ouarts= gallons [1 gallon =4quarts} Dimensional Analysis 5 quarts 1 ' e Dimensional analysis uses a multiplication symbol. n The rst ratio is what is given with a denominator of 1. e The second ratio is the conversion rate. a The second ratio is set up so the giyen label cancels and the desired label remains. Part B: More complex conversions Sometimes more than one conversion is needed to get to the desired result. It might help to rst make a plan of attack. 31 45.0110 ounces = tons [15 ounces = 1 pound. ZDDD pounds = 1 ton} The plan: ounces to pounds to tons 45,000 ounces . 1 pound . 1 ton 1 16 ounces EDGE:- pounds 4] 1E- [rards = inches [12 inches = 1 foot, 3 feet = 1 yard] The plan: yards to feet to inches 15 [la rds 3 feet . 1 1 yard 51 Epounds = grams [1 ouncea==c1335 grams} The plan: pounds to ounces to 2 pounds . 16 ounces '- 1 1 pound 51 mo: centimeters = miles [1 inch = 2.54 centimeters] The plan: to to