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Conversions 1

The central issue in converting units in the SI system is to figure out how many small units equal one big unit. Here is how to do it:

Take a conversion from millimeters to kilometers. Look at
the power of ten next to kilo- in the chart:
10^{3}. Now look at the power of ten next to
milli- in the chart: 10^{-3}. Divide the power of
ten next to the larger unit by the power of ten next to
the smaller unit:

10^{3}———— = 10^{6}(when dividing numbers raised 10^{-3}to an exponent, subtract exponents) 1 x 10^{6}mm 1 x 10^{6}mm = 1 km or ———————— 1 km

This result says that there are 10^{6} (1,000,000) millimeters in 1 kilometer. Try another one: how many nanometers (the smaller unit) are there in 1 centimeter (the larger unit)? Nano- is 10^{-9} and centi- is 10^{-2}.

10^{-2}———— = 10^{7}or 10,000,000 So there are 1 x 10^{7}(10,000,000) nm in 1 cm. 10^{-9}

Examples:

How many mL are there in one L? base 10^{0}————— = 10^{3}which means 1 L = 1,000 mL milli- 10^{-3}How many pg are in one μg? μ- 10^{-6}————— = 10^{6}which means 1 μg = 1,000,000 pg pico- 10^{-12}Now convert 5,897,000 pg to μg: 1 μg 5,897,000 pg × —————————— = 5.897 μg 1,000,000 pg

- How many pico-units are in one nano-unit?
- How many pico-units are in one milli-unit?
- How many nanometers are in one meter?
- How many milliliters are in one kiloliter?
- How many centimeters are in one megameter?
- How many decimeters are in one kilometer?
- How many femtometers are in one nanometer?
- How many kilobytes are in one gigabyte?

- Convert 54 nL to pL
- Convert 42,000,000 pL to mL
- Convert 4,009,450,000 nm to m
- Convert 12 kL to mL
- Convert 14 Mm to cm
- Convert 4 km to dm
- Convert 12 nm to fm
- Convert 42,000,000 kB to GB