There are 20 internationally accepted prefixes to denote 10n multiples of units. 10 of these prefixes denote (n>0) multiples, and other 10 denote (n<0) submultiples:
Number | Factor | Name | Symbol |
---|---|---|---|
1 000 000 000 000 000 000 000 000 | 1024 | yotta | Y |
1 000 000 000 000 000 000 000 | 1021 | zetta | Z |
1 000 000 000 000 000 000 | 1018 | exa | E |
1 000 000 000 000 000 | 1015 | peta | P |
1 000 000 000 000 | 1012 | tera | T |
1 000 000 000 | 109 | giga | G |
1 000 000 | 106 | mega | M |
1 000 | 103 | kilo | k |
100 | 102 | hecto | h |
10 | 101 | deca | da |
0.1 | 10-1 | deci | d |
0.01 | 10-2 | centi | c |
0.001 | 10-3 | milli | m |
0.000 001 | 10-6 | micro | µ |
0.000 000 001 | 10-9 | nano | n |
0.000 000 000 001 | 10-12 | pico | p |
0.000 000 000 000 001 | 10-15 | femto | f |
0.000 000 000 000 000 001 | 10-18 | atto | a |
0.000 000 000 000 000 000 001 | 10-21 | zepto | z |
0.000 000 000 000 000 000 000 001 | 10-24 | yocto | y |
Each prefix is represented by its own symbol. The symbols are case sensitive. Thus, m means milli and M means mega.
Prefixes ranging from milli to kilo were first introduced in 1793 by the French Academy of Sciences under direction of French National Assembly as part of the Metric System. Greek prefixes were used for multiples of 10 and Latin prefixes for submultiples of 10. In 1874 BAAS adapted these prefixes as part of their CGS system, and added prefixes micro and mega. Later, 12 prefixes ranging from pico to tera were defined as part of the International System of Units — SI, which was adopted in 1960. SI is maintained by BIPM under exclusive supervision of CIPM and resolutions made by CGPM. Further 8 prefixes were added to SI in years 1964 (femto, atto), 1975 (peta, exa) and 1991 (zetta, zepto, yotta, yocto).
The prefixes have the following etymology:
The names zepto and zetta are derived from septo, from Latin septem which means seven (the seventh power of 103) and the letter ‘z’ is substituted for the letter ‘s’ to avoid the duplicate use of the letter ‘s’ as a symbol in SI. The names yocto and yotta are derived from Latin octo which means eight (the eighth power of 103); the letter ‘y’ is added to avoid the use of the letter ‘o’ as a symbol because it may be confused with the number zero. The CGPM has decided to name the prefixes, starting with the seventh power of 103, with the letters of the Latin alphabet, but starting from the end. Therefore the choice of letters ‘z’ and ‘y’. The initial letter ‘h’ of the word hexa in standard French is silent, so it was removed in order to simplify things.