Conversions How do we make conversions? Many equivalent measurements 1 m = 10 dm = 100 cm = 1000 mm

Conversion Factors Make a ratio of equivalent measurements It is equal to one 100 cm = 1 1000 mm = 1 1 m 1 m Read as 100 cm per meter or 1000 mm per meter

Use conversion factors in problems where units need to be changed When a number is multiplied by a conversion factor, the number may change but the size remains the same.

Conversion factors are defined as exact quantities and have unlimited sig figs Can be written 2 ways: 1 l or 1000 ml 1000 ml 1 l

Dimensional Analysis Best way to solve problems How many quarters are in a roll of quarters worth $10? $10 4 quarters = 40 quarters 1 $1

Convert 157 cs to s 157 cs 1 sec = 1 100cs 1.57 sec

Convert 42.7 l to ml 42.7 l 1000 ml = 1 1l 42,700 ml = 4.27 x 104 ml

Convert 8.25 x 102 g to ng 8.25 x 102 g 109 ng = 1 1 g 8.25 x 1011 ng

Complex Problems Easier to do in several smaller steps Convert 261 nm to mm 261 nm 1 m 1000 mm = 1 109 nm 1 m 2.61 x 10-4 nm

Convert 0.065 km to dm 0.065 km 1000 m 10 dm = 1 1 km 1m 6.5 x 102 dm

Convert 642 cg to kg 642 cg 1 g 1 k = 1 100 cg 1000 g 6.42 x 10-3 kg

Convert 0.44 ml/ min to µl/sec 0.44ml 1 min 1 l 100 µl = 1min 60 sec 1000 ml 1 l 7.3 µl / sec

Convert 7.86 g/cm2 to mg/mm2 7.86g 1000mg 1cm2 = cm2 1 g 100mm2 78.6 mg /mm2 1 cm = 10 mm 1 cm= 10mm

Convert 1.54 kg /l to g/ cm3 1.54 kg 1000 g 1 l 1 ml = l 1 kg 1000ml 1cm3 1.54 g /cm3

A watch loses 0.15 s/min. How many minutes will the watch lose in 1 day? 0.15s 60 min 24 hr 1 min = min 1 hr 1 day 60 sec 3.6 min /day