Prefix | Symbol | Power | Prefix | Symbol | Power |

mega- | 10^{6} | centi- | 10^{-2} | ||

kilo- | 10^{3} | milli- | 10^{-3} | ||

hecto- | 10^{2} | micro- | 10^{-6} | ||

deca- | 10^{1} | nano- | 10^{-9} | ||

deci- | 10^{-1} | pico- | 10^{-12} |

__Metric - Metric Conversions__

Notice how the units cancel to give grams. I've shown the conversion factor numerator as 1 x 10

^{-3}because on most calculators, it must be entered in this fashion, not as just 10

^{-3}. If you don't know how to use the scientific notation on your calculator, try to find out as soon as possible. Look in your calculator's manual, or ask someone who knows. Also, notice how the unit, mg is assigned the value of 1, and the prefix, milli-, is applied to the gram unit. In other words, 1 mg literally means 1 x 10

^{-3}g.

__English - Metric Conversions__

^{o}C = (

^{o}F - 32)/1.8

All of the above conversions are to three significant figures, except length, which is an exact number. As before, let the units help you set up the conversion.

^{2}to g/cm

^{2}. When setting up the conversion, worry about one unit at a time, for example, convert the pound units to gram units, first:

Next, convert in

^{2}to cm

^{2}. Set up the conversion without the exponent first, using the conversion factor, 1 in = 2.54 cm. Since we need in

^{2}and cm

^{2}, raise everything to the second power:

Notice how the units cancel to the units sought. Always check your units because they indicate whether or not the problem has been set up correctly.