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Mongolian numerals - Wikipedia
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class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Numerals used in Mongolian scripts</div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Mongolian_numerals_2013.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Mongolian_numerals_2013.jpg/250px-Mongolian_numerals_2013.jpg" decoding="async" width="250" height="188" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Mongolian_numerals_2013.jpg/375px-Mongolian_numerals_2013.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Mongolian_numerals_2013.jpg/500px-Mongolian_numerals_2013.jpg 2x" data-file-width="2448" data-file-height="1836" /></a><figcaption>Numerals reading "2013" in <a href="/wiki/Ulaanbaatar" title="Ulaanbaatar">Ulaanbaatar</a></figcaption></figure> <style 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href="mw-data:TemplateStyles:r1246091330"><table class="sidebar sidebar-collapse nomobile nowraplinks hlist"><tbody><tr><td class="sidebar-pretitle">Part of <a href="/wiki/Category:Numeral_systems" title="Category:Numeral systems">a series</a> on</td></tr><tr><th class="sidebar-title-with-pretitle"><a href="/wiki/Numeral_system" title="Numeral system">Numeral systems</a></th></tr><tr><td class="sidebar-content-with-subgroup"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><div class="sidebar-list-title-c"><a href="/wiki/Positional_notation" title="Positional notation">Place-value notation</a></div></div><div class="sidebar-list-content mw-collapsible-content"><table class="sidebar-subgroup"><tbody><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><div class="sidebar-list-title-c"><a href="/wiki/Hindu%E2%80%93Arabic_numeral_system" title="Hindu–Arabic numeral system">Hindu–Arabic numerals</a></div></div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/Arabic_numerals" title="Arabic numerals">Western Arabic</a></li> <li><a href="/wiki/Eastern_Arabic_numerals" title="Eastern Arabic numerals">Eastern Arabic</a></li></ul> <hr /> <ul><li><a href="/wiki/Bengali_numerals" title="Bengali numerals">Bengali</a></li> <li><a href="/wiki/Devanagari_numerals" title="Devanagari numerals">Devanagari</a></li> <li><a href="/wiki/Gujarati_numerals" title="Gujarati numerals">Gujarati</a></li> <li><a href="/wiki/Gurmukhi_numerals" class="mw-redirect" title="Gurmukhi numerals">Gurmukhi</a></li> <li><a href="/wiki/Odia_numerals" title="Odia numerals">Odia</a></li> <li><a href="/wiki/Sinhala_numerals" title="Sinhala numerals">Sinhala</a></li> <li><a href="/wiki/Tamil_numerals" title="Tamil numerals">Tamil</a></li> <li><a href="/wiki/Malayalam_numerals" title="Malayalam numerals">Malayalam</a></li> <li><a href="/wiki/Telugu_script#Numerals" title="Telugu script">Telugu</a></li> <li><a href="/wiki/Kannada_script#Numerals" title="Kannada script">Kannada</a></li> <li><a href="/wiki/Dzongkha_numerals" title="Dzongkha numerals">Dzongkha</a></li></ul> <hr /> <ul><li><a href="/wiki/Tibetan_numerals" title="Tibetan numerals">Tibetan</a></li> <li><a href="/wiki/Balinese_numerals" title="Balinese numerals">Balinese</a></li> <li><a href="/wiki/Burmese_numerals" title="Burmese numerals">Burmese</a></li> <li><a href="/wiki/Javanese_numerals" title="Javanese numerals">Javanese</a></li> <li><a href="/wiki/Khmer_numerals" title="Khmer numerals">Khmer</a></li> <li><a href="/wiki/Lao_script#Numerals" title="Lao script">Lao</a></li> <li><a class="mw-selflink selflink">Mongolian</a></li> <li><a href="/wiki/Sundanese_numerals" title="Sundanese numerals">Sundanese</a></li> <li><a href="/wiki/Thai_numerals" title="Thai numerals">Thai</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><div class="sidebar-list-title-c">East Asian systems</div></div><div class="sidebar-list-content mw-collapsible-content"> <dl><dt>Contemporary</dt></dl> <ul><li><a href="/wiki/Chinese_numerals" title="Chinese numerals">Chinese</a> <ul><li><a href="/wiki/Suzhou_numerals" title="Suzhou numerals">Suzhou</a></li></ul></li> <li><a href="/wiki/Hokkien_numerals" title="Hokkien numerals">Hokkien</a></li> <li><a href="/wiki/Japanese_numerals" title="Japanese numerals">Japanese</a></li> <li><a href="/wiki/Korean_numerals" title="Korean numerals">Korean</a></li> <li><a href="/wiki/Vietnamese_numerals" title="Vietnamese numerals">Vietnamese</a></li></ul> <hr /> <dl><dt>Historic</dt></dl> <ul><li><a href="/wiki/Counting_rods" title="Counting rods">Counting rods</a></li> <li><a href="/wiki/Tangut_numerals" title="Tangut numerals">Tangut</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><div class="sidebar-list-title-c">Other systems</div></div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/History_of_ancient_numeral_systems" title="History of ancient numeral systems">History</a></li></ul> <hr /> <dl><dt><a href="/wiki/Ancient_history" title="Ancient history">Ancient</a></dt></dl> <ul><li><a href="/wiki/Babylonian_cuneiform_numerals" title="Babylonian cuneiform numerals">Babylonian</a></li></ul> <hr /> <dl><dt><a href="/wiki/Post-classical_history" title="Post-classical history">Post-classical</a></dt></dl> <ul><li><a href="/wiki/Cistercian_numerals" title="Cistercian numerals">Cistercian</a></li> <li><a href="/wiki/Maya_numerals" title="Maya numerals">Mayan</a></li> <li><a href="/wiki/Muisca_numerals" title="Muisca numerals">Muisca</a></li> <li><a href="/wiki/Pentadic_numerals" title="Pentadic numerals">Pentadic</a></li> <li><a href="/wiki/Quipu" title="Quipu">Quipu</a></li> <li><a href="/wiki/Rumi_Numeral_Symbols" title="Rumi Numeral Symbols">Rumi</a></li></ul> <hr /> <dl><dt>Contemporary</dt></dl> <ul><li><a href="/wiki/Cherokee_syllabary#Numerals" title="Cherokee syllabary">Cherokee</a></li> <li><a href="/wiki/Kaktovik_numerals" title="Kaktovik numerals">Kaktovik</a> (Iñupiaq)</li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><div class="sidebar-list-title-c">By <a href="/wiki/Radix" title="Radix">radix/base</a></div></div><div class="sidebar-list-content mw-collapsible-content"> <dl><dt>Common radices/bases</dt></dl> <ul><li><a href="/wiki/Binary_number" title="Binary number">2</a></li> <li><a href="/wiki/Ternary_numeral_system" title="Ternary numeral system">3</a></li> <li><a href="/wiki/Quaternary_numeral_system" title="Quaternary numeral system">4</a></li> <li><a href="/wiki/Quinary" title="Quinary">5</a></li> <li><a href="/wiki/Senary" title="Senary">6</a></li> <li><a href="/wiki/Octal" title="Octal">8</a></li> <li><a href="/wiki/Decimal" title="Decimal">10</a></li> <li><a href="/wiki/Duodecimal" title="Duodecimal">12</a></li> <li><a href="/wiki/Hexadecimal" title="Hexadecimal">16</a></li> <li><a href="/wiki/Vigesimal" title="Vigesimal">20</a></li> <li><a href="/wiki/Sexagesimal" title="Sexagesimal">60</a></li></ul> <hr /> <dl><dt><a href="/wiki/Non-standard_positional_numeral_systems" title="Non-standard positional numeral systems">Non-standard radices/bases</a></dt></dl> <ul><li><a href="/wiki/Bijective_numeration" title="Bijective numeration">Bijective</a><span class="nowrap"> </span>(<a href="/wiki/Unary_numeral_system" title="Unary numeral system">1</a>)</li> <li><a href="/wiki/Signed-digit_representation" title="Signed-digit representation">Signed-digit</a><span class="nowrap"> </span>(<a href="/wiki/Balanced_ternary" title="Balanced ternary">balanced ternary</a>)</li> <li><a href="/wiki/Mixed_radix" title="Mixed radix">Mixed</a><span class="nowrap"> </span>(<a href="/wiki/Factorial_number_system" title="Factorial number system">factorial</a>)</li> <li><a href="/wiki/Negative_base" title="Negative base">Negative</a></li> <li><a href="/wiki/Complex-base_system" title="Complex-base system">Complex</a><span class="nowrap"> </span>(<a href="/wiki/Quater-imaginary_base" title="Quater-imaginary base">2<i>i</i></a>)</li> <li><a href="/wiki/Non-integer_base_of_numeration" title="Non-integer base of numeration">Non-integer</a><span class="nowrap"> </span>(<a href="/wiki/Golden_ratio_base" title="Golden ratio base">φ</a>)</li> <li><a href="/wiki/Asymmetric_numeral_systems" title="Asymmetric numeral systems">Asymmetric</a></li></ul></div></div></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="color: var(--color-base)"><div class="sidebar-list-title-c"><a href="/wiki/Sign-value_notation" title="Sign-value notation">Sign-value notation</a></div></div><div class="sidebar-list-content mw-collapsible-content"> <dl><dt>Non-alphabetic</dt></dl> <ul><li><a href="/wiki/Aegean_numerals" title="Aegean numerals">Aegean</a></li> <li><a href="/wiki/Attic_numerals" title="Attic numerals">Attic</a></li> <li><a href="/wiki/Aztec_script#Numerals" title="Aztec script">Aztec</a></li> <li><a href="/wiki/Brahmi_numerals" title="Brahmi numerals">Brahmi</a></li> <li><a href="/wiki/Chuvash_numerals" title="Chuvash numerals">Chuvash</a></li> <li><a href="/wiki/Egyptian_numerals" title="Egyptian numerals">Egyptian</a></li> <li><a href="/wiki/Etruscan_numerals" title="Etruscan numerals">Etruscan</a></li> <li><a href="/wiki/Kharosthi_numerals" class="mw-redirect" title="Kharosthi numerals">Kharosthi</a></li> <li><a href="/wiki/Prehistoric_counting" title="Prehistoric counting">Prehistoric counting</a></li> <li><a href="/wiki/Proto-cuneiform" title="Proto-cuneiform">Proto-cuneiform</a></li> <li><a href="/wiki/Roman_numerals" title="Roman numerals">Roman</a></li> <li><a href="/wiki/Tally_marks" title="Tally marks">Tally marks</a></li></ul> <hr /> <dl><dt><a href="/wiki/Alphabetic_numeral_system" title="Alphabetic numeral system">Alphabetic</a></dt></dl> <ul><li><a href="/wiki/Abjad_numerals" title="Abjad numerals">Abjad</a></li> <li><a href="/wiki/Armenian_numerals" title="Armenian numerals">Armenian</a></li> <li><a href="/wiki/Alphasyllabic_numeral_system" title="Alphasyllabic numeral system">Alphasyllabic</a> <ul><li><a href="/wiki/Aksharapalli" title="Aksharapalli">Akṣarapallī</a></li> <li><a href="/wiki/%C4%80ryabha%E1%B9%ADa_numeration" title="Āryabhaṭa numeration">Āryabhaṭa</a></li> <li><a href="/wiki/Katapayadi_system" title="Katapayadi system">Kaṭapayādi</a></li></ul></li> <li><a href="/wiki/Coptic_numerals" class="mw-redirect" title="Coptic numerals">Coptic</a></li> <li><a href="/wiki/Cyrillic_numerals" title="Cyrillic numerals">Cyrillic</a></li> <li><a href="/wiki/Ge%CA%BDez_script#Numerals" title="Geʽez script">Geʽez</a></li> <li><a href="/wiki/Georgian_numerals" title="Georgian numerals">Georgian</a></li> <li><a href="/wiki/Glagolitic_numerals" title="Glagolitic numerals">Glagolitic</a></li> <li><a href="/wiki/Greek_numerals" title="Greek numerals">Greek</a></li> <li><a href="/wiki/Hebrew_numerals" title="Hebrew numerals">Hebrew</a></li></ul></div></div></td> </tr><tr><td class="sidebar-below" style="border-top:1px solid #aaa;border-bottom:1px solid #aaa;"> <a href="/wiki/List_of_numeral_systems" title="List of numeral systems">List of numeral systems</a></td></tr><tr><td class="sidebar-navbar"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Numeral_systems" title="Template:Numeral systems"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Numeral_systems" title="Template talk:Numeral systems"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Numeral_systems" title="Special:EditPage/Template:Numeral systems"><abbr title="Edit this template">e</abbr></a></li></ul></div></td></tr></tbody></table> <div class="thumb tleft"> <div class="thumbinner" style="width: 95px;"> <div class="thumbimage" style="width: 93px; height: 141px; overflow: hidden;"> <div style="position: relative; top: -172px; left: -3px; width: 132px"><div class="noresize"><span typeof="mw:File"><a href="/wiki/File:SwanStallyBrassJohn316.jpg" class="mw-file-description"><img alt="Example use of the number 16 on the first line of John 3:16" src="//upload.wikimedia.org/wikipedia/en/5/55/SwanStallyBrassJohn316.jpg" decoding="async" width="132" height="1097" class="mw-file-element" data-file-width="132" data-file-height="1097" /></a></span></div></div> </div> <div class="thumbcaption"> <div class="magnify"><a href="/wiki/File:SwanStallyBrassJohn316.jpg" title="File:SwanStallyBrassJohn316.jpg"> </a></div>Example use of the number 16 on the first line of <a href="/wiki/John_3:16" title="John 3:16">John 3:16</a> </div> </div> </div> <p><b>Mongolian numerals</b> are numerals developed from <a href="/wiki/Tibetan_numerals" title="Tibetan numerals">Tibetan numerals</a> and used in conjunction with the <a href="/wiki/Mongolian_script" title="Mongolian script">Mongolian</a> and <a href="/wiki/Clear_script" class="mw-redirect" title="Clear script">Clear script</a>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page / location: 28">: 28 </span></sup> They are still used on <a href="/wiki/Mongolian_t%C3%B6gr%C3%B6g" title="Mongolian tögrög">Mongolian tögrög</a> banknotes. </p><p>The main sources of reference for Mongolian numerals are mathematical and philosophical works of Janj khutugtu A.Rolbiidorj (1717-1766) and D.Injinaash (1704-1788). Rolbiidorj exercises with numerals of up to 10<sup>66</sup>, the last number which he called “setgeshgui” or “unimaginable” referring to the concept of <a href="/wiki/Infinity" title="Infinity">infinity</a>. Injinaash works with numerals of up to 10<sup>59</sup>. Of these two scholars, the Rolbiidorj’s numerals, their names and sequencing are commonly accepted and used today, for example, in the calculations and documents pertaining to the Mongolian Government budget. </p> <div class="mw-heading mw-heading2"><h2 id="Base_numbers">Base numbers</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mongolian_numerals&action=edit&section=1" title="Edit section: Base numbers"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Numbers from 1 to 9 are referred to as "dan", meaning "simple". </p> <table class="wikitable" border="1" style="text-align: center"> <tbody><tr> <th rowspan="2"># </th> <th colspan="2">Mongolian numerals</th> <th rowspan="2"><a href="/wiki/Tibetan_numerals" title="Tibetan numerals">Tibetan numerals</a> </th></tr> <tr> <th>Upright<sup id="cite_ref-Poppe1974_3-0" class="reference"><a href="#cite_note-Poppe1974-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page: 54">: 54 </span></sup><sup id="cite_ref-Skorodumova2000_4-0" class="reference"><a href="#cite_note-Skorodumova2000-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page: 9">: 9 </span></sup><sup id="cite_ref-Kara2005_5-0" class="reference"><a href="#cite_note-Kara2005-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page: 103">: 103 </span></sup> </th> <th>Rotated<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </th></tr> <tr> <td>0 </td> <td><style data-mw-deduplicate="TemplateStyles:r1237794275">.mw-parser-output .font-mong{font-family:"Menk Hawang Tig","Menk Qagan Tig","Menk Garqag Tig","Menk Har_a Tig","Menk Scnin Tig","Oyun Gurban Ulus Tig","Oyun Qagan Tig","Oyun Garqag Tig","Oyun Har_a Tig","Oyun Scnin Tig","Oyun Agula Tig","Mongolian Baiti","Noto Sans Mongolian","Mongolian Universal White","Mongol Usug","Mongolian White","MongolianScript","Code2000","Menksoft Qagan"}.mw-parser-output .font-mong-mnc,.mw-parser-output .font-mong:lang(mnc-Mong),.mw-parser-output .font-mong:lang(dta-Mong),.mw-parser-output .font-mong:lang(sjo-Mong){font-family:"Abkai Xanyan","Abkai Xanyan LA","Abkai Xanyan VT","Abkai Xanyan XX","Abkai Xanyan SC","Abkai Buleku","Daicing White","Mongolian Baiti","Noto Sans Mongolian","Mongolian Universal White"}</style><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; ; vertical-align:middle;">᠐</span></td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; -webkit-writing-mode: vertical-lr; -o-writing-mode: vertical-lr; -ms-writing-mode: tb-lr; writing-mode: tb-lr; writing-mode: vertical-lr;; text-orientation: sideways; vertical-align:text-top;">᠐</span></td> <td><span style="font-size:140%;"><style data-mw-deduplicate="TemplateStyles:r1106655535">.mw-parser-output .uchen{font-family:"Jomolhari","Uchen","Noto Serif Tibetan Medium","Noto Serif Tibetan","BabelStone Tibetan Slim","Yagpo Tibetan Uni","Noto Sans Tibetan","Microsoft Himalaya","Kailash","DDC Uchen","TCRC Youtso Unicode","Tibetan Machine Uni","Qomolangma-Uchen Sarchen","Qomolangma-Uchen Sarchung","Qomolangma-Uchen Suring","Qomolangma-Uchen Sutung","Qomolangma-Title","Qomolangma-Subtitle","DDC Rinzin","Qomolangma-Woodblock","Qomolangma-Dunhuang"}.mw-parser-output .ume{font-family:"Qomolangma-Betsu","Qomolangma-Chuyig","Qomolangma-Drutsa","Qomolangma-Edict","Qomolangma-Tsumachu","Qomolangma-Tsuring","Qomolangma-Tsutong","TibetanSambhotaYigchung","TibetanTsugRing","TibetanYigchung"}</style><span class="uchen" style="font-size:1.25em; vertical-align:middle; word-wrap:break-word;">༠</span></span> </td></tr> <tr> <td>1 </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; ; vertical-align:middle;">᠑</span></td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; -webkit-writing-mode: vertical-lr; -o-writing-mode: vertical-lr; -ms-writing-mode: tb-lr; writing-mode: tb-lr; writing-mode: vertical-lr;; text-orientation: sideways; vertical-align:text-top;">᠑</span></td> <td><span style="font-size:140%;"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1106655535"><span class="uchen" style="font-size:1.25em; vertical-align:middle; word-wrap:break-word;">༡</span></span> </td></tr> <tr> <td>2 </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; ; vertical-align:middle;">᠒</span></td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; -webkit-writing-mode: vertical-lr; -o-writing-mode: vertical-lr; -ms-writing-mode: tb-lr; writing-mode: tb-lr; writing-mode: vertical-lr;; text-orientation: sideways; vertical-align:text-top;">᠒</span></td> <td><span style="font-size:140%;"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1106655535"><span class="uchen" style="font-size:1.25em; vertical-align:middle; word-wrap:break-word;">༢</span></span> </td></tr> <tr> <td>3 </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; ; vertical-align:middle;">᠓</span></td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; -webkit-writing-mode: vertical-lr; -o-writing-mode: vertical-lr; -ms-writing-mode: tb-lr; writing-mode: tb-lr; writing-mode: vertical-lr;; text-orientation: sideways; vertical-align:text-top;">᠓</span></td> <td><span style="font-size:140%;"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1106655535"><span class="uchen" style="font-size:1.25em; vertical-align:middle; word-wrap:break-word;">༣</span></span> </td></tr> <tr> <td>4 </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; ; vertical-align:middle;">᠔</span></td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; -webkit-writing-mode: vertical-lr; -o-writing-mode: vertical-lr; -ms-writing-mode: tb-lr; writing-mode: tb-lr; writing-mode: vertical-lr;; text-orientation: sideways; vertical-align:text-top;">᠔</span></td> <td><span style="font-size:140%;"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1106655535"><span class="uchen" style="font-size:1.25em; vertical-align:middle; word-wrap:break-word;">༤</span></span> </td></tr> <tr> <td>5 </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; ; vertical-align:middle;">᠕</span></td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; -webkit-writing-mode: vertical-lr; -o-writing-mode: vertical-lr; -ms-writing-mode: tb-lr; writing-mode: tb-lr; writing-mode: vertical-lr;; text-orientation: sideways; vertical-align:text-top;">᠕</span></td> <td><span style="font-size:140%;"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1106655535"><span class="uchen" style="font-size:1.25em; vertical-align:middle; word-wrap:break-word;">༥</span></span> </td></tr> <tr> <td>6 </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; ; vertical-align:middle;">᠖</span></td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; -webkit-writing-mode: vertical-lr; -o-writing-mode: vertical-lr; -ms-writing-mode: tb-lr; writing-mode: tb-lr; writing-mode: vertical-lr;; text-orientation: sideways; vertical-align:text-top;">᠖</span></td> <td><span style="font-size:140%;"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1106655535"><span class="uchen" style="font-size:1.25em; vertical-align:middle; word-wrap:break-word;">༦</span></span> </td></tr> <tr> <td>7 </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; ; vertical-align:middle;">᠗</span></td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; -webkit-writing-mode: vertical-lr; -o-writing-mode: vertical-lr; -ms-writing-mode: tb-lr; writing-mode: tb-lr; writing-mode: vertical-lr;; text-orientation: sideways; vertical-align:text-top;">᠗</span></td> <td><span style="font-size:140%;"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1106655535"><span class="uchen" style="font-size:1.25em; vertical-align:middle; word-wrap:break-word;">༧</span></span> </td></tr> <tr> <td>8 </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; ; vertical-align:middle;">᠘</span></td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; -webkit-writing-mode: vertical-lr; -o-writing-mode: vertical-lr; -ms-writing-mode: tb-lr; writing-mode: tb-lr; writing-mode: vertical-lr;; text-orientation: sideways; vertical-align:text-top;">᠘</span></td> <td><span style="font-size:140%;"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1106655535"><span class="uchen" style="font-size:1.25em; vertical-align:middle; word-wrap:break-word;">༨</span></span> </td></tr> <tr> <td>9 </td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; ; vertical-align:middle;">᠙</span></td> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1237794275"><span class="font-mong" style="display:inline-block; font-weight:normal; font-size: 2em; line-height: 1.2em; -webkit-writing-mode: vertical-lr; -o-writing-mode: vertical-lr; -ms-writing-mode: tb-lr; writing-mode: tb-lr; writing-mode: vertical-lr;; text-orientation: sideways; vertical-align:text-top;">᠙</span></td> <td><span style="font-size:140%;"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1106655535"><span class="uchen" style="font-size:1.25em; vertical-align:middle; word-wrap:break-word;">༩</span></span> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Extended_numbers">Extended numbers</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mongolian_numerals&action=edit&section=2" title="Edit section: Extended numbers"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1251242444">.mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid #36c;background-color:#fbfbfb;box-sizing:border-box}.mw-parser-output .ambox+link+.ambox,.mw-parser-output .ambox+link+style+.ambox,.mw-parser-output .ambox+link+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+style+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+link+.ambox{margin-top:-1px}html body.mediawiki .mw-parser-output .ambox.mbox-small-left{margin:4px 1em 4px 0;overflow:hidden;width:238px;border-collapse:collapse;font-size:88%;line-height:1.25em}.mw-parser-output .ambox-speedy{border-left:10px solid #b32424;background-color:#fee7e6}.mw-parser-output .ambox-delete{border-left:10px solid #b32424}.mw-parser-output .ambox-content{border-left:10px solid #f28500}.mw-parser-output .ambox-style{border-left:10px solid #fc3}.mw-parser-output .ambox-move{border-left:10px solid #9932cc}.mw-parser-output .ambox-protection{border-left:10px solid #a2a9b1}.mw-parser-output .ambox .mbox-text{border:none;padding:0.25em 0.5em;width:100%}.mw-parser-output .ambox .mbox-image{border:none;padding:2px 0 2px 0.5em;text-align:center}.mw-parser-output .ambox .mbox-imageright{border:none;padding:2px 0.5em 2px 0;text-align:center}.mw-parser-output .ambox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ambox .mbox-image-div{width:52px}@media(min-width:720px){.mw-parser-output .ambox{margin:0 10%}}@media print{body.ns-0 .mw-parser-output .ambox{display:none!important}}</style><table class="box-Unreferenced plainlinks metadata ambox ambox-content ambox-Unreferenced" role="presentation"><tbody><tr><td class="mbox-image"><div class="mbox-image-div"><span typeof="mw:File"><a href="/wiki/File:Question_book-new.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/50px-Question_book-new.svg.png" decoding="async" width="50" height="39" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/75px-Question_book-new.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/100px-Question_book-new.svg.png 2x" data-file-width="512" data-file-height="399" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">This section <b>does not <a href="/wiki/Wikipedia:Citing_sources" title="Wikipedia:Citing sources">cite</a> any <a href="/wiki/Wikipedia:Verifiability" title="Wikipedia:Verifiability">sources</a></b>.<span class="hide-when-compact"> Please help <a href="/wiki/Special:EditPage/Mongolian_numerals" title="Special:EditPage/Mongolian numerals">improve this section</a> by <a href="/wiki/Help:Referencing_for_beginners" title="Help:Referencing for beginners">adding citations to reliable sources</a>. Unsourced material may be challenged and <a href="/wiki/Wikipedia:Verifiability#Burden_of_evidence" title="Wikipedia:Verifiability">removed</a>.<br /><small><span class="plainlinks"><i>Find sources:</i> <a rel="nofollow" class="external text" href="https://www.google.com/search?as_eq=wikipedia&q=%22Mongolian+numerals%22">"Mongolian numerals"</a> – <a rel="nofollow" class="external text" href="https://www.google.com/search?tbm=nws&q=%22Mongolian+numerals%22+-wikipedia&tbs=ar:1">news</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?&q=%22Mongolian+numerals%22&tbs=bkt:s&tbm=bks">newspapers</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?tbs=bks:1&q=%22Mongolian+numerals%22+-wikipedia">books</a> <b>·</b> <a rel="nofollow" class="external text" href="https://scholar.google.com/scholar?q=%22Mongolian+numerals%22">scholar</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.jstor.org/action/doBasicSearch?Query=%22Mongolian+numerals%22&acc=on&wc=on">JSTOR</a></span></small></span> <span class="date-container"><i>(<span class="date">October 2022</span>)</i></span><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1251242444"><table class="box-Missing_information plainlinks metadata ambox ambox-content" role="presentation"><tbody><tr><td class="mbox-image"><div class="mbox-image-div"><span typeof="mw:File"><a href="/wiki/File:Wiki_letter_w.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/en/thumb/6/6c/Wiki_letter_w.svg/44px-Wiki_letter_w.svg.png" decoding="async" width="44" height="44" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/6/6c/Wiki_letter_w.svg/66px-Wiki_letter_w.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/6/6c/Wiki_letter_w.svg/88px-Wiki_letter_w.svg.png 2x" data-file-width="44" data-file-height="44" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">This section <b>is missing information</b> about these numerals. For each of them, there are up to three different forms (old Monoglian; Inner Monglian, i.e. perhaps under Chinese influence; Outer Mongolian, under European influence), see e.g. Chinggaltai 1963 p. 64.<span class="hide-when-compact"> Please expand the section to include this information. Further details may exist on the <a href="/wiki/Talk:Mongolian_numerals" title="Talk:Mongolian numerals">talk page</a>.</span> <span class="date-container"><i>(<span class="date">October 2022</span>)</i></span></div></td></tr></tbody></table> <table class="wikitable"> <tbody><tr> <th>Name </th> <th>Power Notation </th> <th><a href="/wiki/Long_and_short_scale" class="mw-redirect" title="Long and short scale">Short scale</a> Western </th></tr> <tr> <td>аравт (aravt) </td> <td>10 </td> <td>ten </td></tr> <tr> <td>зуут (dzuut) </td> <td>10<sup>2</sup> </td> <td>hundred </td></tr> <tr> <td>мянгат (myangat) </td> <td>10<sup>3</sup> </td> <td>1 thousand </td></tr> <tr> <td>түмт (tümt) </td> <td>10<sup>4</sup> </td> <td>10 thousand </td></tr> <tr> <td>бумт (bumt) </td> <td>10<sup>5</sup> </td> <td>100 thousand </td></tr> <tr> <td>саят (sayat) </td> <td>10<sup>6</sup> </td> <td>1 million </td></tr> <tr> <td>живаа (jivaa) </td> <td>10<sup>7</sup> </td> <td>10 million </td></tr> <tr> <td>дүнчүүр (dünchüür) </td> <td>10<sup>8</sup> </td> <td>100 million </td></tr> <tr> <td>тэрбум (terbum) </td> <td>10<sup>9</sup> </td> <td>1 billion </td></tr> <tr> <td>их тэрбум (ikh terbum) </td> <td>10<sup>10</sup> </td> <td>10 billion </td></tr> <tr> <td>наяд (nayad) </td> <td>10<sup>11</sup> </td> <td>100 billion </td></tr> <tr> <td>их наяд (ikh nayad) </td> <td>10<sup>12</sup> </td> <td>1 trillion </td></tr> <tr> <td>маш дэлгэмэл (mash delgemel) </td> <td>10<sup>13</sup> </td> <td>10 trillion </td></tr> <tr> <td>их маш дэлгэмэл (ikh mash delgemel) </td> <td>10<sup>14</sup> </td> <td>100 trillion </td></tr> <tr> <td>тунамал (tunamal) </td> <td>10<sup>15</sup> </td> <td>1 quadrillion </td></tr> <tr> <td>их тунамал (ikh tunamal) </td> <td>10<sup>16</sup> </td> <td>10 quadrillion </td></tr> <tr> <td>ингүүмэл (ingüümel) </td> <td>10<sup>17</sup> </td> <td>100 quadrillion </td></tr> <tr> <td>их ингүүмэл (ikh ingüümel) </td> <td>10<sup>18</sup> </td> <td>1 quintillion </td></tr> <tr> <td>хямралгүй (khyamralgüi) </td> <td>10<sup>19</sup> </td> <td>10 quintillion </td></tr> <tr> <td>их хямралгүй (ikh khyamralgüi) </td> <td>10<sup>20</sup> </td> <td>100 quintillion </td></tr> <tr> <td>ялгаруулагч (yalgaruulagch) </td> <td>10<sup>21</sup> </td> <td>1 sextillion </td></tr> <tr> <td>их ялгаруулагч (ikh yalgaruulagch) </td> <td>10<sup>22</sup> </td> <td>10 sextillion </td></tr> <tr> <td>өөр дээр (öör deer) </td> <td>10<sup>23</sup> </td> <td>100 sextillion </td></tr> <tr> <td>их өөр дээр (ikh öör deer) </td> <td>10<sup>24</sup> </td> <td>1 septillion </td></tr> <tr> <td>хөөн удирдагч (khöön udirdagch) </td> <td>10<sup>25</sup> </td> <td>10 septillion </td></tr> <tr> <td>их хөөн удирдагч (ikh khöön udirdagch) </td> <td>10<sup>26</sup> </td> <td>100 septillion </td></tr> <tr> <td>хязгаар үзэгдэл (khyadzgaar üdzegdel) </td> <td>10<sup>27</sup> </td> <td>1 octillion </td></tr> <tr> <td>их хязгаар үзэгдэл (ikh khyadzgaar üdzegel) </td> <td>10<sup>28</sup> </td> <td>10 octillion </td></tr> <tr> <td>шалтгааны зүйл (shaltgaany dzüyl) </td> <td>10<sup>29</sup> </td> <td>100 octillion </td></tr> <tr> <td>их шалтгааны зүйл (ikh shaltgaany dzüyl) </td> <td>10<sup>30</sup> </td> <td>1 nonillion </td></tr> <tr> <td>үзэсгэлэн гэрэлт (üdzesgelen gerelt) </td> <td>10<sup>31</sup> </td> <td>10 nonillion </td></tr> <tr> <td>их үзэсгэлэн гэрэлт (ikh üdzesgelen gerelt) </td> <td>10<sup>32</sup> </td> <td>100 nonillion </td></tr> <tr> <td>эрхт (erkht) </td> <td>10<sup>33</sup> </td> <td>1 decillion </td></tr> <tr> <td>их эрхт (ikh erkht) </td> <td>10<sup>34</sup> </td> <td>10 decillion </td></tr> <tr> <td>сайтар хүргэсэн (saytar khürgesen) </td> <td>10<sup>35</sup> </td> <td>100 decillion </td></tr> <tr> <td>их сайтар хүргэсэн (ikh saytar khürgesen) </td> <td>10<sup>36</sup> </td> <td>1 undecillion </td></tr> <tr> <td>олон одох (olon odokh) </td> <td>10<sup>37</sup> </td> <td>10 undecillion </td></tr> <tr> <td>их олон одох (ikh olon odokh) </td> <td>10<sup>38</sup> </td> <td>100 undecillion </td></tr> <tr> <td>живэх тоосон билэг (jivekh tooson bileg) </td> <td>10<sup>39</sup> </td> <td>1 duodecillion </td></tr> <tr> <td>их живэх тоосон билэг (ikh jivekh tooson bileg) </td> <td>10<sup>40</sup> </td> <td>10 duodecillion </td></tr> <tr> <td>билэг тэмдэг (bilet temdeg) </td> <td>10<sup>41</sup> </td> <td>100 duodecillion </td></tr> <tr> <td>их билэг тэмдэг (ikh bilet temdeg) </td> <td>10<sup>42</sup> </td> <td>1 tredecillion </td></tr> <tr> <td>хүчин нөхөр (khüchin nökhör) </td> <td>10<sup>43</sup> </td> <td>10 tredecillion </td></tr> <tr> <td>их хүчин нөхөр (ikh khüchin nökhör) </td> <td>10<sup>44</sup> </td> <td>100 tredecillion </td></tr> <tr> <td>тохио мэдэхүй (tokhio medekhüi) </td> <td>10<sup>45</sup> </td> <td>1 quattuordecillion </td></tr> <tr> <td>их тохио мэдэхүй (ikh tokhio medekhüi) </td> <td>10<sup>46</sup> </td> <td>10 quattuordecillion </td></tr> <tr> <td>тийн болсон (tiin bolson) </td> <td>10<sup>47</sup> </td> <td>100 quattuordecillion </td></tr> <tr> <td>их тийн болсон (ikh tiin bolson) </td> <td>10<sup>48</sup> </td> <td>1 quindecillion </td></tr> <tr> <td>хүчин нүд (khüchin nud) </td> <td>10<sup>49</sup> </td> <td>10 quindecillion </td></tr> <tr> <td>их хүчин нүд (ikh khüchin nüd) </td> <td>10<sup>50</sup> </td> <td>100 quindecillion </td></tr> <tr> <td>асрахуй (asrakhui) </td> <td>10<sup>51</sup> </td> <td>1 sexdecillion </td></tr> <tr> <td>их асрахуй (ikh asrakhui) </td> <td>10<sup>52</sup> </td> <td>10 sexdecillion </td></tr> <tr> <td>нигүүлсэнгүй (nigüülsengüi) </td> <td>10<sup>53</sup> </td> <td>100 sexdecillion </td></tr> <tr> <td>их нигүүлсэнгүй (ikh nigüülsengüi) </td> <td>10<sup>54</sup> </td> <td>1 septendecillion </td></tr> <tr> <td>баясгалангуй (bayasgalangui) </td> <td>10<sup>55</sup> </td> <td>10 septendecillion </td></tr> <tr> <td>их баясгалангуй (ikh bayasgalangui) </td> <td>10<sup>56</sup> </td> <td>100 septendecillion </td></tr> <tr> <td>тоолшгүй (toolshgüi) </td> <td>10<sup>57</sup> </td> <td>1 octodecillion </td></tr> <tr> <td>хэмжээлшгүй (khemjeelshgüi) </td> <td>10<sup>58</sup> </td> <td>10 octodecillion </td></tr> <tr> <td>цаглашгүй (tsaglashgüi) </td> <td>10<sup>59</sup> </td> <td>100 octodecillion </td></tr> <tr> <td>өгүүлшгүй (ögüülshgüi) </td> <td>10<sup>60</sup> </td> <td>1 novemdecillion </td></tr> <tr> <td>хэрэглэшгүй (kheregleshgüi) </td> <td>10<sup>61</sup> </td> <td>10 novemdecillion </td></tr> <tr> <td>үйлдэж дуусашгүй (üildej duusashgüi) </td> <td>10<sup>62</sup> </td> <td>100 novemdecillion </td></tr> <tr> <td>үлэшгүй (üleshgüi) </td> <td>10<sup>63</sup> </td> <td>1 vigintillion </td></tr> <tr> <td>хирлэшгүй (khirleshgüi) </td> <td>10<sup>64</sup> </td> <td>10 vigintillion </td></tr> <tr> <td>үлэж дуусашгүй (ülej duusashgüi) </td> <td>10<sup>65</sup> </td> <td>100 vigintillion </td></tr> <tr> <td>сэтгэшгүй (setgeshgüi) </td> <td>10<sup>66</sup> </td> <td>1 unvigintillion </td></tr> </tbody></table> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mongolian_numerals&action=edit&section=3" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFChrisomalis2010" class="citation book cs1">Chrisomalis, Stephen (2010). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=ux--OWgWvBQC&pg=PA199"><i>Numerical Notation: A Comparative History</i></a>. Cambridge University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9780521878180" title="Special:BookSources/9780521878180"><bdi>9780521878180</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Numerical+Notation%3A+A+Comparative+History&rft.pub=Cambridge+University+Press&rft.date=2010&rft.isbn=9780521878180&rft.aulast=Chrisomalis&rft.aufirst=Stephen&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3Dux--OWgWvBQC%26pg%3DPA199&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMongolian+numerals" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.unicode.org/versions/Unicode10.0.0/ch13.pdf">"The Unicode® Standard Version 10.0 – Core Specification: South and Central Asia-II"</a> <span class="cs1-format">(PDF)</span>. <i>Unicode.org</i><span class="reference-accessdate">. Retrieved <span class="nowrap">3 December</span> 2017</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Unicode.org&rft.atitle=The+Unicode%C2%AE+Standard+Version+10.0+%E2%80%93+Core+Specification%3A+South+and+Central+Asia-II&rft_id=https%3A%2F%2Fwww.unicode.org%2Fversions%2FUnicode10.0.0%2Fch13.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMongolian+numerals" class="Z3988"></span></span> </li> <li id="cite_note-Poppe1974-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-Poppe1974_3-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPoppe1974" class="citation book cs1">Poppe, Nicholas (1974). <a rel="nofollow" class="external text" href="https://archive.org/details/poppegrammarofwrittenmongolian1974/page/n1/mode/1up"><i>Grammar of Written Mongolian</i></a>. Otto Harrassowitz Verlag. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-3-447-00684-2" title="Special:BookSources/978-3-447-00684-2"><bdi>978-3-447-00684-2</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Grammar+of+Written+Mongolian&rft.pub=Otto+Harrassowitz+Verlag&rft.date=1974&rft.isbn=978-3-447-00684-2&rft.aulast=Poppe&rft.aufirst=Nicholas&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fpoppegrammarofwrittenmongolian1974%2Fpage%2Fn1%2Fmode%2F1up&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMongolian+numerals" class="Z3988"></span></span> </li> <li id="cite_note-Skorodumova2000-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-Skorodumova2000_4-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSkorodumova2000" class="citation book cs1 cs1-prop-script cs1-prop-foreign-lang-source">Skorodumova, L. G. (2000). <a rel="nofollow" class="external text" href="https://altaica.ru/manuals/skorodumova_staromong.pdf"><i>Vvedenie v staropismenny mongolskiy yazyk</i> <bdi lang="ru">Введение в старописьменный монгольский язык</bdi></a> <span class="cs1-format">(PDF)</span> (in Russian). Muravey-Gayd. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/5-8463-0015-4" title="Special:BookSources/5-8463-0015-4"><bdi>5-8463-0015-4</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Vvedenie+v+staropismenny+mongolskiy+yazyk+%D0%92%D0%B2%D0%B5%D0%B4%D0%B5%D0%BD%D0%B8%D0%B5+%D0%B2+%D1%81%D1%82%D0%B0%D1%80%D0%BE%D0%BF%D0%B8%D1%81%D1%8C%D0%BC%D0%B5%D0%BD%D0%BD%D1%8B%D0%B9+%D0%BC%D0%BE%D0%BD%D0%B3%D0%BE%D0%BB%D1%8C%D1%81%D0%BA%D0%B8%D0%B9+%D1%8F%D0%B7%D1%8B%D0%BA&rft.pub=Muravey-Gayd&rft.date=2000&rft.isbn=5-8463-0015-4&rft.aulast=Skorodumova&rft.aufirst=L.+G.&rft_id=http%3A%2F%2Faltaica.ru%2Fmanuals%2Fskorodumova_staromong.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMongolian+numerals" class="Z3988"></span></span> </li> <li id="cite_note-Kara2005-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-Kara2005_5-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKara2005" class="citation book cs1">Kara, György (2005). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=cSlkAAAAMAAJ"><i>Books of the Mongolian Nomads: More Than Eight Centuries of Writing Mongolian</i></a>. Indiana University, Research Institute for Inner Asian Studies. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-933070-52-3" title="Special:BookSources/978-0-933070-52-3"><bdi>978-0-933070-52-3</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Books+of+the+Mongolian+Nomads%3A+More+Than+Eight+Centuries+of+Writing+Mongolian&rft.pub=Indiana+University%2C+Research+Institute+for+Inner+Asian+Studies&rft.date=2005&rft.isbn=978-0-933070-52-3&rft.aulast=Kara&rft.aufirst=Gy%C3%B6rgy&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DcSlkAAAAMAAJ&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMongolian+numerals" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPopov1837" class="citation book cs1 cs1-prop-script cs1-prop-foreign-lang-source">Popov, Aleksandr (1837). <a rel="nofollow" class="external text" href="https://www.digitale-sammlungen.de/de/view/bsb10250535?page=31"><i>Arifmetika na Mongolskom yazykě</i> <bdi lang="ru">Ариѳметика на Монгольскомъ языкѣ</bdi></a> (in Mongolian). Kazan. p. 31<span class="reference-accessdate">. Retrieved <span class="nowrap">2023-02-28</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Arifmetika+na+Mongolskom+yazyk%C4%9B+%D0%90%D1%80%D0%B8%D1%B3%D0%BC%D0%B5%D1%82%D0%B8%D0%BA%D0%B0+%D0%BD%D0%B0+%D0%9C%D0%BE%D0%BD%D0%B3%D0%BE%D0%BB%D1%8C%D1%81%D0%BA%D0%BE%D0%BC%D1%8A+%D1%8F%D0%B7%D1%8B%D0%BA%D1%A3&rft.place=Kazan&rft.pages=31&rft.date=1837&rft.aulast=Popov&rft.aufirst=Aleksandr&rft_id=https%3A%2F%2Fwww.digitale-sammlungen.de%2Fde%2Fview%2Fbsb10250535%3Fpage%3D31&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMongolian+numerals" class="Z3988"></span></span> </li> </ol></div> <p><br /> </p> <style data-mw-deduplicate="TemplateStyles:r1012311289">.mw-parser-output .asbox{position:relative;overflow:hidden}.mw-parser-output .asbox table{background:transparent}.mw-parser-output .asbox p{margin:0}.mw-parser-output .asbox p+p{margin-top:0.25em}.mw-parser-output .asbox-body{font-style:italic}.mw-parser-output .asbox-note{font-size:smaller}.mw-parser-output .asbox .navbar{position:absolute;top:-0.75em;right:1em;display:none}</style><div role="note" class="metadata plainlinks asbox stub"><table role="presentation"><tbody><tr class="noresize"><td><span class="mw-image-border" typeof="mw:File"><a href="/wiki/File:Flag_of_Mongolia.svg" class="mw-file-description"><img alt="Stub icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Flag_of_Mongolia.svg/30px-Flag_of_Mongolia.svg.png" decoding="async" width="30" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Flag_of_Mongolia.svg/45px-Flag_of_Mongolia.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Flag_of_Mongolia.svg/60px-Flag_of_Mongolia.svg.png 2x" data-file-width="1200" data-file-height="600" /></a></span></td><td><p class="asbox-body">This <a href="/wiki/Mongolia" title="Mongolia">Mongolia</a>-related article is a <a href="/wiki/Wikipedia:Stub" title="Wikipedia:Stub">stub</a>. 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