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# UM CHEM 1110 - Numbers, Units, & Conversions Worksheet

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Chemistry 1110 Numbers, Units, & Conversions I. Convert each of the following to scientific notation or to ‘normal’ notation. 93,000,000 0.3841 0.00000007241 0.005219 6184538 1.393x105 0.00321x104 5.892x10-3 4.9x10-8 9.43x106 II. Answer each of the following questions based on unit conversions. What power of 10 corresponds to each of the following metric system prefixes? Centi Mega Giga Tera Milli Micro The hepatitis virus is 45 nm in diameter. How big is this in meters? A typical dose of clonidine for children is approximately 0.0000013 g clonidine/kg body weight. What would be a more convenient way to express this value using SI prefixes? III. Perform the following conversions using Dimensional Analysis. Be sure to clearly set up appropriate conversion factors in each case! 150 lb to kg 26.2 mi to km 7 ft 2 in to cm 14.4 mcL to mLIV. Perform each of the following conversions by using Dimensional Analysis. A doctor orders a patient to take 100 mg persantine (a blood thinner) daily. The available formulation is 25 mg persantine/tablet. How many tablets should be given daily? Polycyllin is available as a solution containing 250 mg/5 mL. How many mL would you administer to give a dose of 400 mg polycyllin? In a typical person, the level of glucose is about 85 mg/100 mL of blood. If the average body contains about 5.5 L of blood, how many grams of glucose are present in the blood of a typical person? Drug dosages are often given as mass of drug per body mass, for instance mg/kg or mcg/kg. What is the daily dosage in milligrams per kilogram of body weight for a child weighing 23 kg who takes 2 qty 50 mg tablets of gentamycin? How many 100 mg tablets of gentamycin should be administered to a 140 lb woman to achieve the same drug dosage? A doctor orders a 50 lb child to take 75 mg garamycin every 8 hours. How does this amount compare to the recommended dosage of 2.0-2.5 mg/kg administered every 8 hours for patients with normal renal

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