# 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 *kilo*metre is 1,000 metres, and a *kilo*watt is 1,000 watts. The prefix "milli" subdivides by a thousand, so a *milli*metre is one thousandth of a metre (1,000 millimetres in a metre), and a *milli*litre 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}, (Americas, UK, Ireland, Australia) billion or (Continental European) milliard, a thousand million - mega = million
- kilo = thousand
- centi = one hundredth
- milli = one thousandth

(Sub)multiple | Prefix | Symbol | Name (Americas, UK, Ireland, Australia) | Name (Continental 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 | 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

*km*means

^{2}*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 (hecto-are), centilitre, 1 dm^{3} (equivalent to one litre), and decibel (one-tenth of a bel, a measure of sound loudness).

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.

Table of contents |

2 See also 3 External links |

## Use outside SI

The symbol "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. Note that in these cases an upper case K is often used, although it should be noted that using an uppercase K is never correct when writing under the rules of the SI, since the K stands for the Kelvin. Also, it is often used as a prefix to designate the binary prefix kilo = 2^{10}= 1024.

### Non-SI 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 2^{10}= 1024, and 10

^{3}= 1000, this led to the SI prefix letters being used approximately to denote "binary" prefixes as follows:

- 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.

Consequently, the International Electrotechnical Commission (IEC) 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 (Mi; 2^{20}), gibi (Gi; 2^{30}), tebi (Ti; 2^{40}), pebi (Pi; 2^{50}), and exbi (Ei; 2^{60}). Although the IEC standard does not mention them, the sequence can be readily extended to zebi (Zi; 2^{70}) and yobi (Yi; 2^{80}). 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.*

## See also

## External links