I.Definition A.Way to solve problems using the units, or dimensions, of a measurement

II.Conversion Factors A. Ratio of equivalent measurements B. Do not count when determining sig. figs. C. Written as fractions D. Reciprocals are also true

E.Examples i. 4 quarters = 1 dollar 4 quarters 1 dollar 4 quarters 1 yard 3 feet 1 yard ii.1 yd = 3 ft

III.Metric Conversion Factors PropertyBase UnitPrefixSymbolRelationship Lengthmeter (m) kilok1 km = 10 3 m centic1 cm = 10 −2 m millim1 mm = 10 −3 m nanon1 nm = 10 −9 m Mass kilogram (kg) kilok1 kg = 10 3 g millim1 mg = 10 −3 g VolumeLiter (L) millim1 mL = 10 −3 L micro mc or μ 1 μ L = 10 −6 L ** l mL = 1 cm 3 (cubic centimeter or cc) 1 mg = 1000 mcg (microgram)

IV.Problem solving steps A.Identify the given B.Draw your table C.Identify what your trying to find D.Find and insert conversion factors (cancel as you go) E.Multiply across numerators F.Divide by the denominators (individually) G.Round answer to correct sig figs!

V.Examples A.How milligrams are in 750 grams.

B.How many kilograms are in 10.5 grams.

C.How many teaspoons of Tylenol would a child take if the doctor prescribed 12 milliliters for their body weight? (1tsp = 5 mL)

D.If a bottle of Ibuprofen has 100 tablets and each tablet is 200 mg, how many micrograms are there in the bottle?

E.If a person drinks 2.00 liters of water per day, how many cups is that? (1 fl oz = 30mL, 1 cup = 8 fl oz)