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This article lists and discusses the usage and derivation of '''names of small [[decimal number|numbers]]'''.<ref>{{cite web |url=http://turing.cs.camosun.bc.ca/COMP166/resources/floatingpoint.html |title=Binary Numbers - Floating Point |publisher=Turing.cs.camosun.bc.ca |date=1997-02-24 |accessdate=2014-07-07 |deadurl=yes |archiveurl=https://web.archive.org/web/20120321074006/http://turing.cs.camosun.bc.ca/COMP166/resources/floatingpoint.html |archivedate=2012-03-21 |df= }}</ref>
{{Page numbers needed|date=February 2024}}
This is a list of the names of small [[decimal number]]s in [[English language|English]].


==Table of names==
==Table==
The following table lists [[English language]] names of small numbers used in the [[long and short scales]], along with the [[power of 10]], [[engineering notation]], and [[International System of Units]] (SI) symbols and prefixes.<ref>''[[American Heritage Dictionary]]'', 4th edition, {{isbn|0-395-82517-2}}. {{cite web |url=http://www.bartleby.com/61 |title=Archived copy |accessdate=2004-05-29 |deadurl=yes |archiveurl=https://web.archive.org/web/20070112021354/http://www.bartleby.com/61/ |archivedate=2007-01-12 |df= }}</ref><ref>''Oxford English Dictionary'', New Edition, Oxford, UK: Oxford University Press. [http://www.oed.com] (subscription required)</ref><ref>[http://www.bipm.fr/en/home/ Bureau International des Poids et Mesures] (BIPM)</ref><ref>[http://physics.nist.gov/cuu/Units/prefixes.html US NIST ''Definitions of the SI units: The twenty SI prefixes'']</ref><ref name="Essex">{{cite web|archiveurl=https://web.archive.org/web/20130724035607/http://www.essex1.com/people/speer/large.html |url=http://www.essex1.com/people/speer/large.html |archivedate=2013-07-24 |title=Large and Small Numbers - Metric Prefixes |publisher= |date=2012-08-26 |accessdate=2014-07-07}}</ref><ref>{{cite web |url=http://library.thinkquest.org/5427/numbers.html |title=ThinkQuest |publisher=Library.thinkquest.org |date=2013-07-01 |accessdate=2014-07-07 |deadurl=yes |archiveurl=https://web.archive.org/web/20121111014856/http://library.thinkquest.org/5427/numbers.html |archivedate=2012-11-11 |df= }}</ref><ref name="Manske">{{cite web|archiveurl=https://web.archive.org/web/20110903083159/http://www.uni-bonn.de/~manfear/numbers_names.php |url=http://www.uni-bonn.de/~manfear/numbers_names.php |archivedate=2011-09-03 |title=Names of large and small numbers |publisher= |author=Manske, Magnus |date=2011-05-02 |accessdate=2014-07-07}}</ref>
The following table lists the names of small numbers used in the [[long and short scales]], along with the [[power of 10]], [[engineering notation]], and [[International System of Units]] (SI) symbols and prefixes.<ref>''[[American Heritage Dictionary]]'', 4th edition, {{isbn|0-395-82517-2}}. {{cite web |url=http://www.bartleby.com/61 |title=The American Heritage Dictionary of the English Language, Fourth Edition. 2000 |access-date=2004-05-29 |url-status=dead |archive-url=https://web.archive.org/web/20070112021354/http://www.bartleby.com/61/ |archive-date=2007-01-12 }}</ref>{{page needed|date=February 2024}} <ref>''Oxford English Dictionary'', New Edition, Oxford, UK: Oxford University Press. [http://www.oed.com] (subscription required)</ref>{{page needed|date=February 2024}} <ref>[http://www.bipm.org/en/home/ Bureau International des Poids et Mesures] ([[BIPM]])</ref>{{page needed|date=February 2024}} <ref>{{cite web |url=https://www.nist.gov/pml/owm/metric-si-prefixes |website=[[NIST]] |title=Metric (SI) Prefixes |language=en |date=13 January 2010}}</ref><ref name="Essex">{{cite web|archive-url=https://web.archive.org/web/20130724035607/http://www.essex1.com/people/speer/large.html |url=http://www.essex1.com/people/speer/large.html |archive-date=2013-07-24 |title=Large and Small Numbers - Metric Prefixes |date=2012-08-26 |access-date=2014-07-07}}</ref><ref>{{cite web |url=http://library.thinkquest.org/5427/numbers.html |title=Big & Small Numbers |author=Savidtra |publisher=[[ThinkQuest]] |date=2013-07-01 |access-date=2014-07-07 |url-status=dead |archive-url=https://web.archive.org/web/20121111014856/http://library.thinkquest.org/5427/numbers.html <!-- If the content doesn't appear, try closing the Wayback Machine toolbar, then closing the Oracle ThinkQuest toolbar, then refreshing the page. --> |archive-date=2012-11-11 }}</ref><ref name="Manske">{{cite web|archive-url=https://web.archive.org/web/20110903083159/http://www.uni-bonn.de/~manfear/numbers_names.php |url=http://www.uni-bonn.de/~manfear/numbers_names.php |archive-date=2011-09-03 |title=Names of large and small numbers |author=Manske, Magnus |date=2011-05-02 |access-date=2014-07-07}}</ref>


{|class="wikitable"
{|class="wikitable sortable"
|-
|-
! Power<br>of<br>ten
! Power<br>of<br>ten
! [[Engineering notation|Engineering<br>notation]]
! [[Engineering notation|Engineering<br>notation]]<br>{{cn|date=February 2024}}
! [[long and short scales|Short scale]]<br />(U.S. and<br />modern British)
! [[long and short scales|Short scale]]<br />(U.S. and<br />modern British)
! [[long and short scales|Long scale]]<br />(continental Europe,<br /> archaic British, and India)
! [[long and short scales|Long scale]]<br />(continental Europe,<br /> archaic British, and India)
⚫
![[SI prefix|SI<br />prefix]]
! SI<br/>symbol
! SI<br/>symbol
⚫
! [[SI prefix|SI<br/>prefix]]
|-
|-
|10<sup>0</sup> || 1 ||[[One]] || One || ||
|10<sup>0</sup> || 1 || colspan=2 |[[One]] || ||
|-
|-
|10<sup>−1</sup> || 100×10<sup>−3</sup> || colspan=2 |One Tenth ||[[deci-]]|| style="text-align:center" | [[d]]
|-
|10<sup>−2</sup> || 10×10<sup>−3</sup> || colspan=2 |One One-[[Hundredth]] ||[[centi-]]|| style="text-align:center" | [[c]]
|-
|10<sup>−3</sup> || 1×10<sup>−3</sup> || colspan=2 |One One-[[Thousandth]] ||[[milli-]]|| style="text-align:center" | [[m]]
|-
|10<sup>−6</sup> || 1×10<sup>−6</sup> || colspan=2 |One One-[[Millionth]] ||[[micro-]]|| style="text-align:center" |[[Mu (letter)|μ]]
|-
|10<sup>−9</sup> || 1×10<sup>−9</sup> ||One One-[[Billionth]]||One One-[[wikt:milliardth|Milliardth]]||[[nano-]]|| style="text-align:center" | [[n]]
|-
|10<sup>−12</sup> || 1×10<sup>−12</sup> ||One One-[[Trillionth]]||One One-Billionth ||[[pico-]]|| style="text-align:center" | [[p]]
|-
|10<sup>−15</sup> || 1×10<sup>−15</sup> ||One One-[[Quadrillionth]]||One One-[[wikt:billiardth|Billiardth]]||[[femto-]]|| style="text-align:center" | [[f]]
|-
|10<sup>−18</sup> || 1×10<sup>−18</sup> ||One One-[[Quintillionth]]||One One-Trillionth ||[[atto-]]|| style="text-align:center" | [[a]]
|-
|10<sup>−21</sup> || 1×10<sup>−21</sup> ||One One-[[Sextillionth]]||One One-[[wikt:trilliard#Derived terms|Trilliardth]]||[[zepto-]]|| style="text-align:center" | [[z]]
|-
|10<sup>−24</sup> || 1×10<sup>−24</sup> ||One One-[[Septillionth]]||One One-Quadrillionth ||[[yocto-]]|| style="text-align:center" | [[y]]
|-
|10<sup>−27</sup> || 1×10<sup>−27</sup> ||One One-[[Octillionth]]||One One-Quardilliardth ||[[ronto-]] || style="text-align:center" | [[r]]
|-
|10<sup>−30</sup> || 1×10<sup>−30</sup> ||One One-[[Nonillionth]]||One One-Quintillionth || [[quecto-]]|| style="text-align:center" | [[q]]
|-
|10<sup>−33</sup> || 1×10<sup>−33</sup> ||One One-Decillionth||One One-Quintilliardth || {{N/A}} || {{N/A}}
|-
|10<sup>−36</sup> || 1×10<sup>−36</sup> ||One One-Undecillionth||One One-Sextillionth || {{N/A}} || {{N/A}}
|-
|0
|1×10<sup>−∞</sup>
| colspan=2 |Zero
|
|
|-
|–1
|–1
| colspan=2 | Negative One
|
|
|-
|−∞
|''undefined''
| colspan=2 |Negative Infinity
|
|
|}


==See also==
==See also==
{{Portal|Mathematics}}
{{Portal|Mathematics}}
* [[Names of large numbers]]
* [[Names of large numbers]]
* [[Numeral (linguistics)|Number names]]
* [[Orders of magnitude (numbers)]]
* [[Numeral prefix]]
* [[List of numbers#Small numbers|List of numbers § Small numbers]]
* [[Metric prefix]]
* [[List of arbitrary-precision arithmetic software]]


==References==
==References==

Latest revision as of 22:00, 16 May 2024

This is a list of the names of small decimal numbers in English.

Table

[edit]

The following table lists the names of small numbers used in the long and short scales, along with the power of 10, engineering notation, and International System of Units (SI) symbols and prefixes.[1][page needed] [2][page needed] [3][page needed] [4][5][6][7]

Power
of
ten 		Engineering
notation
[citation needed] 		Short scale
(U.S. and
modern British) 		Long scale
(continental Europe,
archaic British, and India) 		SI
prefix 		SI
symbol
100 1 One
10−1 100×10−3 One Tenth deci- d
10−2 10×10−3 One One-Hundredth centi- c
10−3 1×10−3 One One-Thousandth milli- m
10−6 1×10−6 One One-Millionth micro- μ
10−9 1×10−9 One One-Billionth One One-Milliardth nano- n
10−12 1×10−12 One One-Trillionth One One-Billionth pico- p
10−15 1×10−15 One One-Quadrillionth One One-Billiardth femto- f
10−18 1×10−18 One One-Quintillionth One One-Trillionth atto- a
10−21 1×10−21 One One-Sextillionth One One-Trilliardth zepto- z
10−24 1×10−24 One One-Septillionth One One-Quadrillionth yocto- y
10−27 1×10−27 One One-Octillionth One One-Quardilliardth ronto- r
10−30 1×10−30 One One-Nonillionth One One-Quintillionth quecto- q
10−33 1×10−33 One One-Decillionth One One-Quintilliardth — —
10−36 1×10−36 One One-Undecillionth One One-Sextillionth — —
0 1×10−∞ Zero
–1 –1 Negative One
−∞ undefined Negative Infinity

See also

[edit]

References

[edit]
  1. ^ American Heritage Dictionary, 4th edition, ISBN 0-395-82517-2. "The American Heritage Dictionary of the English Language, Fourth Edition. 2000". Archived from the original on 2007-01-12. Retrieved 2004-05-29.
  2. ^ Oxford English Dictionary, New Edition, Oxford, UK: Oxford University Press. [1] (subscription required)
  3. ^ Bureau International des Poids et Mesures (BIPM)
  4. ^ "Metric (SI) Prefixes". NIST. 13 January 2010.
  5. ^ "Large and Small Numbers - Metric Prefixes". 2012-08-26. Archived from the original on 2013-07-24. Retrieved 2014-07-07.
  6. ^ Savidtra (2013-07-01). "Big & Small Numbers". ThinkQuest. Archived from the original on 2012-11-11. Retrieved 2014-07-07.
  7. ^ Manske, Magnus (2011-05-02). "Names of large and small numbers". Archived from the original on 2011-09-03. Retrieved 2014-07-07.
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