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SI Prefixes
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SI prefix
An SI prefix is a prefix which can be applied to any unit of the International System of Units (SI) to give subdivisions and multiples of that unit.
For example, the prefix "kilo" multiplies by one thousand, so a kilometre is 1,000 metres, and a kilowatt is 1,000 watts. The prefix "milli" subdivides by a thousand, so a millimetre is one thousandth of a metre (1,000 millimetres in a metre), and a millilitre is one thousandth of a litre. The ability to apply the same prefixes to any SI unit is one of the key strengths of the SI, since it considerably simplifies the system's learning and use.
The most commonly used prefixes include:

giga = 10^{9}, US billion or European milliard, a thousand million

mega = million

kilo = thousand

centi = one hundredth

milli = one thousandth
The full table follows below.
(Sub)multiple  Prefix  Symbol  Name (Americas)  Name (European) 

10^{24}  yotta  Y  Septillion  Quadrillion 
10^{21}  zetta  Z  Sextillion  Thousand trillion (Trilliard) 
10^{18}  exa  E  Quintillion  Trillion 
10^{15}  peta  P  Quadrillion  Thousand billion (Billiard) 
10^{12}  tera  T  Trillion  Billion 
10^{9}  giga  G  Billion  Thousand million (Milliard) 
10^{6}  mega  M  Million  
10^{3}  kilo  k  Thousand  
10^{2}  hecto  h  Hundred  
10^{1}  deca or deka  da  Ten  
10^{1}  deci  d  Tenth  
10^{2}  centi  c  Hundredth  
10^{3}  milli  m  Thousandth  
10^{6}  micro  μ  Millionth  
10^{9}  nano  n  Billionth  Milliardth 
10^{12}  pico  p  Trillionth  Billionth 
10^{15}  femto  f  Quadrillionth  Billiardth 
10^{18}  atto  a  Quintillionth  Trillionth 
10^{21}  zepto  z  Sextillionth  Trilliardth 
10^{24}  yocto  y  Septillionth  Quadrillionth 
Examples:

5 cm = 5 × 10^{2} m = 5 × 0.01 m = 0.05 m

3 MW = 3 × 10^{6} W = 3 × 1 000 000 W = 3 000 000 W
The prefix always takes precedence over any exponentiation; thus km^{2} means square kilometre and not kilo  square metre. For example, 3 km^{2} is equal to 3,000,000 m^{2} and not to 3,000 m^{2} (nor to 9,000,000 m^{2}).
Prefixes where the exponent is divisible by three are recommended. Hence '100 metres' rather than 'one hectometre'. Notable exceptions include centimetre, hectare (hectoare), centilitre, and 1 dm^{3} (equivalent to one litre).
The accepted pronunciation of the initial G of "giga" was once soft, /ˈdʒaɪgə/ (like "gigantic"), but now the hard pronunciation, /ˈgɪgə/, is probably more common.
Note that the formal SI metric prefix for 1000 is lower case "k".
Table of contents 
Use outside SI
The abbreviation "k" is often used to mean a multiple of a thousand, so one may talk of "a 40K salary" (40,000), or the Y2K problem.
NonSI units
SI prefixes rarely appear coupled with imperial units except in some specialised cases (e.g. megaton). They are often used with cgs units in situations where these are still found (e.g. millitorr). They are also used with "natural" units in some fields (e.g. megaelectron volt, gigaparsec).
Computing
k and greater are common in computing, where they are applied to information and storage units like the bit and the byte. Since these often naturally come in powers of two, the prefixes' meaning changes:

K = 2^{10} = 1,024

M = 2^{20} = 1,048,576

G = 2^{30} = 1,073,741,824

T = 2^{40} = 1,099,511,627,776

P = 2^{50} = 1,125,899,906,842,624.
However, these prefixes usually retain their powersof1000 meanings when used to describe rates of data communication (bit rates): 10 Mb/s Ethernet runs at 10,000,000 b/s, not 10,485,760 b/s.
This inconsistency did not seem relevant when computers had little storage and communication links were relatively slow, but the increasing capacity of computing systems and speed of network links began making this inconsistency a more serious problem.
Accordingly, the International Electrotechnical Commission adopted new binary prefixes in 1998, formed from the first syllable of the decimal prefix plus 'bi' (pronounced 'bee'). The symbol is the decimal symbol plus 'i'. So now, one kilobyte (1 kB) equals 1000 bytes, whereas one kibibyte (1 KiB) equals 2^{10} = 1024 bytes. Likewise mebi (2^{20}), gibi (2^{30}), tebi (2^{40}), pebi (2^{50}), and exbi (2^{60}). For example, at 1 MB/s = 10^{6} bytes per second, it would take slightly longer than one second to transfer an object 1 MiB = 2^{20} bytes in size. The adoption of these prefixes has been very limited.
^{†} Britain, Ireland and Australia previously used the European number name conventions, but have now largely switched to US usage. Note in particular that above a million and below a millionth, the same name has different values in the two naming systems, so billion and trillion (for example) become unfortunately potentially ambiguous terms internationally. Using the SI prefixes can circumvent this problem. See number names for the details.
This article (or an earlier version of it) contains material from FOLDOC, used with permission.
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This guide is licensed under the GNU Free Documentation License. It uses material from the Wikipedia.
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