MediaWiki API result
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{
"compare": {
"fromid": 1,
"fromrevid": 1,
"fromns": 0,
"fromtitle": "Iphepha Elingundoqo",
"toid": 2,
"torevid": 2,
"tons": 0,
"totitle": "Inani",
"*": "<tr><td colspan=\"2\" class=\"diff-lineno\" id=\"mw-diff-left-l1\">Umgca we-1</td>\n<td colspan=\"2\" class=\"diff-lineno\">Umgca we-1</td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\"><strong>MediaWiki has been installed</del>.<del class=\"diffchange diffchange-inline\"></strong></del></div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">=== Amanani eematshini ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Enye inkqubo yamanani exhaphakae kakhulu yeematshini. Inkqubo yenani lematshini ibizwa ngokuba yi-binary number system. Le binary number system ikwaziwa ngokuba yi-base two number system. Zimbini ke ii-symbols ngokwahlunana kwazo zezi-(0 and 1) ezisetyenziswa kwi-base two number system. ezi ke zimbini zibizwa ngokuba zii-bits.[2]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">I-symbol ye-binary number nganye yenziwe ngezi-bit symbols zimbini. indawo ye-bit symbol nganye ibonisa ubukhulu benani. Umzekelo, inani le-10 kwi-binary number. Indawo emi kuyo i-bit symbols ibonisa ukuba ingaba likhulu kangakanani na inani. umzekelo, inani elingu-10 xa likwi-binary number system, enenei lithetha ukuthi 1 times 2 plus 0, aze u-101 athethe ukuthi 1 times four (=4) plus 0 times two (=0) plus 1 times 1 (=1). I-binary number 10 yinto enye ne-decimal number 2. Ize yona i-binary number 101 ibe yinto enye ne-decimal number 5</ins>.</div></td></tr>\n<tr><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-deleted\"><br></td><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-added\"><br></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">Consult the [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Contents User's Guide] for information on using the wiki software</del>.</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">=== Amanani a-Irrational\u00a0 ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Amanani angenangqiqo ngalawo manani aqhubeka ngokungenasiphelo, kodwa awayiyo amaxesha ngamaxesha kwaye akanalo inani elifanayo ngelo xesha lide</ins>. <ins class=\"diffchange diffchange-inline\">oludidi lwenani lunokufumaneka kwiingcambu ezikwere</ins></div></td></tr>\n<tr><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-deleted\"><br></td><td class=\"diff-marker\"></td><td class=\"diff-context diff-side-added\"><br></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div>== <del class=\"diffchange diffchange-inline\">Getting started </del>==</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">'''Amanani a-[[Rational]]''' ngamanani anokubhalwa njengee-[[fraction (mathematika)|fractions]]. Oku kuthetha okokuba asenokubhalwa njengo-''a'' owahlulwa-hlulwa ngo-''b'', apho ke amanani amelwe ngu-''a'' no ''b'' azii-integers, aze ke yena u-''b'' angalingani no-0.\u00a0 </ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* </del>[<del class=\"diffchange diffchange-inline\">https</del>:/<del class=\"diffchange diffchange-inline\">/www</del>.<del class=\"diffchange diffchange-inline\">mediawiki</del>.<del class=\"diffchange diffchange-inline\">org/wiki/Special</del>:<del class=\"diffchange diffchange-inline\">MyLanguage</del>/<del class=\"diffchange diffchange-inline\">Manual:Configuration_settings Configuration settings list</del>]</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div>* [<del class=\"diffchange diffchange-inline\">https:</del>/<del class=\"diffchange diffchange-inline\">/www</del>.<del class=\"diffchange diffchange-inline\">mediawiki</del>.<del class=\"diffchange diffchange-inline\">org/wiki/Special</del>:<del class=\"diffchange diffchange-inline\">MyLanguage/Manual</del>:<del class=\"diffchange diffchange-inline\">FAQ MediaWiki FAQ</del>]</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Amanye amanani a-rational, afana no-1/10, adinga inani lee-digits eli-[[finite]], emva kwe-[[decimal point]] ukuze zibhalwe ngendlela e-[[decimal]]. The number one tenth is written in decimal form as 0.1. Numbers written with a finite decimal form are rational. Some rational numbers, such as 1/11, need an [[Infinity|infinite]] number of digits after the decimal point to write them in decimal form. There is a repeating pattern to the digits following the decimal point. The number one eleventh is written in decimal form as [[0.0909090909]]... .</ins></div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div><del class=\"diffchange diffchange-inline\">* </del>[<del class=\"diffchange diffchange-inline\">https:</del>//<del class=\"diffchange diffchange-inline\">lists</del>.<del class=\"diffchange diffchange-inline\">wikimedia</del>.<del class=\"diffchange diffchange-inline\">org</del>/<del class=\"diffchange diffchange-inline\">postorius/lists/mediawiki</del>-<del class=\"diffchange diffchange-inline\">announce</del>.<del class=\"diffchange diffchange-inline\">lists</del>.<del class=\"diffchange diffchange-inline\">wikimedia</del>.<del class=\"diffchange diffchange-inline\">org/ MediaWiki release mailing list</del>]</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div>* <del class=\"diffchange diffchange-inline\">[https</del>://<del class=\"diffchange diffchange-inline\">www</del>.<del class=\"diffchange diffchange-inline\">mediawiki</del>.<del class=\"diffchange diffchange-inline\">org</del>/<del class=\"diffchange diffchange-inline\">wiki/Special</del>:<del class=\"diffchange diffchange-inline\">MyLanguage</del>/<del class=\"diffchange diffchange-inline\">Localisation#Translation_resources Localise MediaWiki </del>for <del class=\"diffchange diffchange-inline\">your language</del>]</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">=== Amanani a-Natural\u00a0 </ins>===</div></td></tr>\n<tr><td class=\"diff-marker\" data-marker=\"\u2212\"></td><td class=\"diff-deletedline diff-side-deleted\"><div>* [<del class=\"diffchange diffchange-inline\">https://www</del>.<del class=\"diffchange diffchange-inline\">mediawiki</del>.<del class=\"diffchange diffchange-inline\">org</del>/<del class=\"diffchange diffchange-inline\">wiki/Special</del>:<del class=\"diffchange diffchange-inline\">MyLanguage/Manual:Combating_spam Learn how to combat spam on your wiki</del>]</div></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">: ''For the book in the Bible, see Numbers (Bible)''.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>=<ins class=\"diffchange diffchange-inline\">== Ii-integers ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[File:Sdk_intro.gif|right|thumb|I-puzzle ye-Sudoku\u00a0]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">'''[[Ii-integer]]s''' ngawo onke amanani a-natural, zonke ii-[[opposite number|opposites]] zawo, kunye nenani eling-[[u-zero]]. Amanani az[</ins>[<ins class=\"diffchange diffchange-inline\">Decimal|ii-Decimal]] nalawo azii-fractions akazizo ii-integers.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">== Iindlela zokusetyenziswa kwamanani ==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Inani ngumbhalo ophuhlisa umbono wezibalo, osetyenziswa xa kubalwa okanye xa kusenziwa umlinganiselo. kuxhomekeke kwelo candelo lezibalo kuthethwa ngalo, apho kusetyenziswa khona amanani, kubakho iinkcazo ezahlukeneyo</ins>:</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">*\u00a0Abantu basebenzisa uphawu oluthile olumele amanani; bathi xa belubiza ludweliso lwamanani (zii-numerals) zii-numerals. Apho zixhaphake khona ezi numerals kukwimibhalo echaza izinto ukuba ziyintonina, njengakwiminxeba,ukuze kubekwe izinto ngokulandelelana kwazo, njengakumanani alandelelananyo, okanye ukuze kubekwe isiphawuli esinomahluko, njengakwi-ISBN, inani elinomahluko nenokubonwa ngalo incwadi. <br></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">*\u00a0Amanani engqokolela yezinto asetyenziswa kumlinganiselo wokubona okokuba izinto ezo zibonakala kangaphi na kuloo ngqokolela yezi zinto]]. U-{A,B,C} unomlinganiselo wesi-\"3\". <br></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">*\u00a0Amanani e-Ordinal asetyenziswa xa kubhekiswa luloo nto ithile kwingqokolela okanye ngokulandelelana kwazo (Eyokuqala, eyesibini, eyesithathu).<br></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">amanani asetyenziswa nakwezinye izinto ezingengomanani. amanani asetyenziswa xa kusenziwa umlinganiselo wezinto. Amanani asetyenziswa xa kufundwa okokuba lisebenza kanjani na ihlabathi. Izibalo yindlela yokusetyenziswa kwamanani ukuze kufundwe ngehlabathi kwenziwe nezinto. Isifundo ngemithetho yehlabathi kuthiwa zizifundo zenzululwazi. umsebenzi owenziwa ngokuthi kusetyenziswe amanani ukuze kwenziwe izinto kuthiwa zizifundo zobunjineli.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">== IIndlela zokubala ==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">=== Inani labantu ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Ukunikwa kwamanani iimpawu ezithile kwenziwa ngeendlela-ngeendlela.\u00a0 Ezi ndlela ke zibizwa ngokuba zii-number systems. Eyona-number system ethanda ukusetyenziswa ngabantu yi-''base ten'' number system. I-''base ten'' number system ikwaziwa ngokuba yi-''decimal'' number system. I-base ten number system ixhaphakile kuba abantu baneminwe elishumi neenzwane ezilishumi. Zili-10 iimpawu\u00a0 zamanani {0, 1, 2, 3, 4, 5, 6, 7, 8, kunye no-9} ezisetyenziswa kwi-base ten number system. Ezimpawu zilishumi zibizwa ngokuba zii-digits.<ref>Umnwe okanye uzwane zikwabizwa ngokuba zii-digits.<</ins>/<ins class=\"diffchange diffchange-inline\">ref></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Uphawu lwenani lwenziwe ngezi-digits zilishumi. Indawo ekuyo idigit nganye ibonisa ubukhulu nobuncinane benani. Umzekelo, inani elingama-23 kwi-decimal number system, eyonanto liyithethayo yile (u-2 xa ephindwa-phindwe kali-10) ize kuthi kwelo nani liphumileyo songeze inani elingu-3, kananjalo inani elingu-101 lithetha ukuthi inani elingu-1 xa liphinda-phindwe kalikhulu kuzakuphuma u- (=100) songeze u-0 esiyakumphindaphinda nge-10 kutsho kuphume u (=0) kongezwe u-1 ozakuphindwaphindwa ka-1 kutsho kuphume u-(=1).</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Enye i-number system ixhaphake kakhulu kwiimatshini.\u00a0 I-machine number system ibizwa ngokuba yi-''binary'' number system</ins>. <ins class=\"diffchange diffchange-inline\">I-binary number system isoloko ibizwa ngokuba yi-base two number system</ins>. <ins class=\"diffchange diffchange-inline\">Zimbini ke iimpawu, (nazi</ins>: <ins class=\"diffchange diffchange-inline\">ngu-0 no-1) ezisetyenziswa kwi-base two number system. Ezi mpawu zimbini zibizwa ngokuba zii-bits.<ref>Igama elithi bit sisishunqulelo segama elithi \"binary digit\".<</ins>/<ins class=\"diffchange diffchange-inline\">ref></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">I-simboli okanye uphawu lwe-binary number lwenziwe ngezi-bit symbols zimbini. indawo ezikuyo ezi-bit symbols zibonisa ubukhulu benani. Umzekelo, eyona nto ithethwa linani elingu-10 kwi-binary number system kukuba u-1 xa ephindwa-phindwa ka-2 kongezwe u-0, kunye no-101 uthetha ukuba u-1 xa ephindwa-phindwe kane (=4) kongezwa u-0 kuphinda-phindwe kabini (=0) kongezwe u-1 kuphinda-phindwe ka-1 (=1). I-binary number 10 iyinto enye ne-decimal number 2. I-binary number 101 iyinto enye ne-decimal number 5.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">IsiNgesi sinamagama akhethekileyo abekelwe bucala ukuze asetyenziswe kumanani athile akwi-decimal number system nabizwa ngokuba ngamanani e--\"powers of ten\". onke ke laa manani e-power of ten kwi-decimal number system asebenzisa isimboli engu-\"1\" kunye nesimboli engu-\"0\" kuphela. Umzekelo, ishumi lamashumi yinto enye neshumi eliphinda-phindwe kalishumi, okanye lilkhulu elinye. Ngokweesimboli, iba ngu-\"10x10=100\". Kananjalo, ishumi lamakhulu liyinto enye neshumi eliphinda-phindwe ngekhulu, okanye singathi liwaka elinye. Ngokweesimboli ke sithi ngu- \"10 \u00d7 100 = 10 \u00d7 10 \u00d7 10 = 1000\". Namanye amanani e-power of ten numbers anamagama awo akhethekileyo.\u00a0 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* [[Inye|1]] \u2013 inye</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* [[Ishumi|10]</ins>] <ins class=\"diffchange diffchange-inline\">\u2013 zilishumi</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* 100 \u2013 likhulu elinye<br></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* 1000 \u2013 liwaka elinye</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* 1,000,000 \u2013 sisigidi esinye <br></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Xa usebenza ngamanani amakhulu kangaka, esiNgesini zimbini iindlela ezahlukeneyo zokubiza laa manani. Phantsi kwe-\"long scale\" inani linikwa igama elitsha ngalo lonke ixesha lilikhulu ngesigidi kune nani lokugqibela esele linikwe igama. lo ke ubizwa ngokuba ngumgangatho waseBritani. Esi sikali sasidla ngokuxhaphaka eBritani, kodwa asisetyenziswa njalo kumazwe antetho yawo isisingesi kule mihla. Nangona kunjalo sisasetyenziswa kwezinye izizwe zaseYurophu.\u00a0 \u00a0 Esinye isikali sisi-\"short scale\" apho ke igama elitsha linikwa qho xa inani lilikhulu ngokuphindaphindwe kaliwaka ngaphezulu kwenani lokugqibela esele linegama. Esi sikali sixhaphake kakhulu kumazwe amaninzi antetho yawo isisiNgesi namhlanje.\u00a0 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>* <ins class=\"diffchange diffchange-inline\">1,000,000,000 \u2013 i-billion enye (isikali esifutshane), i-milliard enye (isikali eside)</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* 1,000,000,000,000 \u2013 i-trillion enye\u00a0 (isikali esifutshane), i-billion enye (isikali eside)</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* 1,000,000,000,000,000 \u2013i-quadrillion (isikali esifutshane), i-billiard enye (isikali eside)</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">'''[[Amanani a-natural]]''' angamanani esihlala siwasebenzisa xa sibala, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 etc. Abanye abantu bathi u-0 naye ukwalinani eli-natural.\u00a0 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Elinye igama lala manani kuthiwa ang</ins>[<ins class=\"diffchange diffchange-inline\">[Inani eli-positive|amanani a-positive.]] ngamanye amaxesha laa manani abhalwa njengo-+1 ukubonisa okokuba ahlukile kwamanye amanani waziwa ngokuba ngamanani a-negative numbers. Nangona kunjalo qaphela okokuba akusingawo onke amanani a-positive abanatural. Inani lisenokuba positive kodwa lingabikho natural (Umzekelo, i- <math>\\frac{1}{2}<</ins>/<ins class=\"diffchange diffchange-inline\">math> linani eli-positive, kodwa alikho natural).</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Ukuba u-0 ubizwa ngokuba linani eli-natural, ngoko ke amanani a-natural ayafana namanani azii-whole numbers. Ukuba u-0 akabizwa ngokuba linani eli-natural,\u00a0 oko kuyakuthetha okokuba amanani a-natural ayinto enye namanani okubala (counting numbers ngesiNgesi).\u00a0 Ukuba amagama athi \"amanani a-natural\" \"natural numbers\" ngesiNgesi, akasetyenziswa, kuyakweza ukubhideka ekubeni ingaba u-0 uyabandakanyeka na okanye hai. Kodwa ngelishwa, abanye abantu bathi u-O akalonani lipheleleyo (akayo-whole number, ngesiNgesi),\u00a0\u00a0 bakwathi abanye amanani apheleleyo (iiwhole numbers) zisenokuba negative. \"ii-Positive integers\" nee-\"non-negative integers\" ziyenye indlela yokubandakanya okanye yokukhuphela ngaphandle u-zero, kodwa oko kungenzeka kuphela xa abantu bewazi loo magama.\u00a0 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">'''Amanani a-negative''' ngamanani angaphantsi kuka-zero.\u00a0 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Enye indlela yokucinga ngamanani a-negative, kukusebenzisa\u00a0''umgca-manani''. kulo mgca-manani ke kukho indawo esiyibiza u-zero. Size ke emva koko sibhale ukubonisa (senze i-label)\u00a0 (sibhale igama) yonke i-point esemgceni sijonge okokuba ingaba ikude kangakanani na kwicala langasekunene ukusuka kwi-point akuyo u--0, umzekelo, i-point engu-inye (u-point one)\u00a0 uyi-centimeter enye ngokomgama ukuya ngasekunene, i-point engu-zimbini (u-point two) uzisentimitha ezimbini ukuya ngasekunene.\u00a0 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Ngoku cinga nge-point eyi-centimeter enye ukuya kwicala langasekhohlo le-point engu-zero. Asinakuthi le yi-point u-inye (ngu-point one), njengoko kukho u-point osele ebizwa ngokuba ngu-point inye (ngu-point one)</ins>.<ins class=\"diffchange diffchange-inline\">\u00a0 Lo ke siyakumbiza njengo-point minus 1 (\u22121) (njengoko ikude nge-centimeter enye ku-0, kodwa lo mgama ukwelinye icala eli lingasekhohlo, icala elichaseneyo ke neliya lasekunene sele silibonile ngasentla apha)</ins>.<ins class=\"diffchange diffchange-inline\">\u00a0 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Umzobo weomgca-manani nanku ngezantsi.\u00a0 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[File</ins>:<ins class=\"diffchange diffchange-inline\">NumberLineIntegers.svg|Number line -6 to 6]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Yonke imisebenzi yokubala eyenzeka ngokufanelekileyo kwamathematika ingenzeka ngamanani a-negative</ins>:</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Ukuba abantu bongeza inani eli-negative kwelinye inani, oko kuyinto enye nokususa okanye ukuthabatha kweli nani li-positive ngokwale ndlela alandelelana ngayo amanani (ukulandelelana kwamanani kubizwa ngokuba zii-numerals). Umzekelo, 5 + (\u22123) is the same as 5\u2212 3, and equals 2. Khumbula ke, xa inani lingenaphawu lungu +, loo nto ithetha ukuba inani li-positive. Kodwa lona eli-negative liyakuhlala linophawu elingu -</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Ukuba bathabatha inani eli-negative kwelinye inani eli-negative, oko kufana nqwa nokudibanisa okanye ukongeza inani eli-positive ngokokulandelelana kwawo laa manani (Khumbula, amanani alandelelanayo azii-numerals). Umzekelo, 5 \u2212 (\u22123) ufana nqwa no-5 + 3, abenza u-8. Xa amanani engoo-negative omabini, xa edityaniswa enza u-positive omnye. </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Xa be[[Ukuphinda-phinda|phinda-phinda</ins>]<ins class=\"diffchange diffchange-inline\">] amanani amabini a-negative, sisiphumo iyakuba linani eli-positive.\u00a0 Umzekelo, \u22125 xa simphinda-phinda ngo \u22123 kuyakwenzeka inani elingu- 15.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Ukuba baphinda-phinda inani eli-negative ngeli-positive, okanye baphinda-phinde inani eli-positive ngeli-negative. Bayakufumana iziphumo ezi-negative\u00a0 umzekelo, u-5 xa ephindwa-phindwa ngo- \u22123 kuphuma u- \u221215. </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Njengokuba ukufumana i-square root senani eli-negative kuyinto engenakwenzeka, kuba kaloku u-negative xa ephinda-phindwe ngomnye u-negative wenza okanye ulingana no-positive. siye ke sisinike uphawu olungu-i\u00a0 i-square root senani eli-negative. Ngoko ke u-i luphawu lwe-square root senani eli-negative. </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Ii-'''[[I-integer|integers]]''' ngawo onke amanani a-natural. Khumbula ke okokuba amanani a-natural ngala sihlala sibala ngawo imihla nezolo, sisithi 1,2,3, njalo njalo. Onke ke amanye amanani anje kwelinye icala lomgca manani anje ngala -1, -2, -3, njalo njalo; kwanenani elingu-[[Iqanda|zero]]. Akazizo ii-intergers. Kanti nawo amanani a-decimal, oko kukuthi ii-[[I-decimal|decimal numbers]] kunye neefractions akazo-intergers. </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">'''[[Amanani a-rational|Amanani a-rational, ii-Rational numbers]]''' ke ngesiNgesi ngamanani anokubhalwa njenee-[</ins>[<ins class=\"diffchange diffchange-inline\">I-Fraction (yemathematika)|fractions]]. Oku kuthetha ukuthi asenokubhalwa njengamanani anokohlulwa-hlulwa ngo-''b'', kodwa oko kunokwenzeka kuphela xa amanani angu- a no- b ezii-integers, kuyo yonke loo nto siqiniseke okokuba u-b akalingani no-0.\u00a0 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Amanye amanani a-rational (ii-rational numbers), afana no-1</ins>/<ins class=\"diffchange diffchange-inline\">10, zidinga inani eli-finite (i-finite number) lee-digits emva kwe-decimal point ukuze abhalwe ngendlela e-[[I-decimal|decimal]]. Ishumi lokuqala (ebizwa ngokuba yi-number one tenth, ngesiNgesi) ibhalwa ngokwe-decimal ibe ngu-0.1. Amanani abhalwe ngokwendlela ye-finite decimal ngala aba-rational. Amanye amanani a-ratiinal\u00a0 (azi-rational numbers), afana no-1</ins>/<ins class=\"diffchange diffchange-inline\">11, adinga inani eli-finate (i-infinite number)\u00a0 lee-digits emva kwe-decimal point ukuze zibhalwe ngokwendlela ye-decimal. kukho ukuphindaphindwa kwe-pattern yee-digits okulandela emva kwe-decimal point. Inani leshumi elinanye lokuqala (i-number one eleventh) ibhalwa ngendlela ye-decimal eyile 0</ins>.<ins class=\"diffchange diffchange-inline\">0909090909 </ins>.<ins class=\"diffchange diffchange-inline\">.. .</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">I-percentage isenokubizwa ngokuba ilinani eli-rational libe ke yi-rational number, kuba i-percentage efana no-7% isenokubhalwa njenge-fraction 7</ins>/<ins class=\"diffchange diffchange-inline\">100. Kananjalo isenokubhalwa njenge-decimal engu-0.07. Maxa wambi, i-ratio thathwa njengenani eli-rational i-rational number ke ngesiNgesi.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">=== Amanani azii-Irrational\u00a0 ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">'''Amanani a-rational\u00a0''' ngamanani angenakubhalwa njenee-fractions, kodwa abe engenazo iindawo ezi- imaginary (kuyakucaciswa kamva).</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[File:Square_root_of_2_triangle.png|right|thumb| \u221a2 is irrational.]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Amanani a-Irrational asoloko esenzeka kwi-geometry. Umzekelo, ukuba sine-square esinecala eliyimitha enye ngobude,\u00a0 umgama okwiikona engaphesheya kwenye okanye ekwelinye icala, kwi-square-root sezi kona zimbini, ezilingana no-1.414213 ... . Le ke linani eli-irrational. I-Mathematika iye yabonakalisa okokuba i-square root salo naliphi na inani eli-natural lisenokuba yi-integer okanye sibe linani eli-irrational.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Inani elaziwa kakhulu ngokuba irrational ngu-pi. Le y-i-circumference (umgama ojikeleze) yesangqa yahlulwahlulwe nge-diameter yaso (umgama onqumla kwisangqa). Inani linye kuzo zonke izangqa. Inani eliyi</ins>-<ins class=\"diffchange diffchange-inline\">pi lingaphantse lithi 3.1415926535 </ins>... <ins class=\"diffchange diffchange-inline\">.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">inani eli-irrational alinakubhalwa phantsi ngokuphelelyo ngendlela ekubhalwa ngayo i-[[I-decimal|decimal]</ins>] <ins class=\"diffchange diffchange-inline\">. Liyakuba nenani elinee-digits ezi-infinite emva kwe-decimal point. Umahluko ophakathi kuka-0.333333 ..., ezi digits azinakuphinda-phina into engenasiphelo. </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">=== Amanani a-real ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Amanani a-real abhekisa kuzo zonke ingqokolela zamanani ezidweliswe apha ngasentla:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>* <ins class=\"diffchange diffchange-inline\">Amanani a-rational, aquka ii-integers</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* Amanani a-irrational <br></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Laa ke ngawo onke amanani angabandakanyi amanani azii-imaginary.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">=== Amanani azii-imaginary ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">'''Amanani azii-imaginary '''enziwa ngamanani a-real aphindwe-phindwe by the number '''i'''. Eli nani lisi-square root sika minus one (\u22121).</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Akukho nani eliyi-real number elinokuthi xa iphinda-phindiwe elingu-1. Akukho nani kumanani a-real xa There is no number in the real numbers which when squared makes the number \u22121. Therefore, mathematicians invented a number. They called this number '''i''', or the '''imaginary unit'''.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Amanani a-imaginary asebenza phantsi kwemiqathango nemithetho efanayo nale yee-real numbers</ins>:</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* Isiphumo samanani amabini a-imaginary sifumaneka ngokuchwethela ngaphandle (ukukhuphela ngaphandle, ekuthiwa ngesiNgesi yi-factorising out) lo-'''i'''. Umzekelo, 2'''i''' + 3'''i''' = (2 + 3)'''i''' = 5'''i'''.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* Inani elishiyekayo okanye elenza umahluko kulamanani a-marginal or kwezi imaginal numbers zimbini lifumaneka kwangolu hlobo lunye. Umzekelo, 5'''i''' \u2212 3'''i''' = (5 \u2212 3)'''i''' = 2'''i'''.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* Xa ezi imaginary numbers zimbini ziphindwa-phindwa, khumbula okokuba u-'''i''' \u00d7 '''i''' (i<sup>2<</ins>/<ins class=\"diffchange diffchange-inline\">sup>) is \u22121.\u00a0 umzekelo, 5'''i''' \u00d7 3'''i''' = ( 5 \u00d7 3 ) \u00d7 ( '''i''' \u00d7 '''i''' ) = 15 \u00d7 (\u22121) = \u221215.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Ii-imaginary numbers zabizwa ngokuba zii-''imaginary'' kuba ukufunyanwa kwazo okokuqala, iingcali zemathematika ezininzi zange zicinge okokuba ngamanani akhoyo. {{Fact|date=April 2009}} umntu owafumanisa ezi-imaginary numbers yaba ngu-Gerolamo Cardano ngoo-1500s. Umntu wokuqala ukusebenzisa amagama athi 'imaginarly numbers yaba ngu-Ren\u00e9 Descartes. Abantu bokuqala ukusebenzisa laa manani kwaba ngoo-e Leonard Euler no-Carl Friedrich Gauss. Bobabini babephila ngomnyaka wenkulungwana ye-18th century.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">=== Ii-Complex numbers ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">'''Ii-Complex numbers''' ngamanani anamacala amabini; icala eliyi- ''real'' part kunye ne-''imaginary'' part. Zonke ke ezi ntlobo zamanani achazwe apha ngasentla akwazii-complex numbers.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Ii-Complex numbers ziluhlobo oluquka onke amanani.\u00a0 Ii-complex numbers zingabhalwa kwi-number plane. Le ke yenziwe ngomgca-manani we-real number, kunye nomgca-manani we-imaginary number.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 3i|_</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 |</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 |</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 2i|_\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 . 2+2i</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 |</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 |</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 i|_</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 |</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 |</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 |_____|_____|_____|_____|_____|_____|_____|_____|</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"> \u22122\u00a0 \u00a0 \u22121\u00a0 \u00a0 0\u00a0 \u00a0 1\u00a0 \u00a0 2\u00a0 \u00a0 3\u00a0 \u00a0 4\u00a0 \u00a0 5\u00a0 \u00a0 6</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 |</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u2212i|_\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 .3\u2212i</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 |</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 |</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 .\u22122\u22122i\u00a0 \u22122i|_</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 |</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 |</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u22123i|_</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 |</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Yonke imathematika yesiqhelo ingenziwa ngee-complex numbers:</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* Xa kusongezwa i-complex number kwenye, ngamanye amazwi xa kudityaniswa ii-complex numbers ezimbini, dibanisa amacala e-real nawe-imaginary ecaleni. Umzekelo, (2 + 3'''i''') + (3 + 2'''i''')\u00a0 = (2 + 3) + (3 + 2)'''i'''= 5 + 5'''i'''.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* Xa uphungula okanye uthatha i-complex number enye kwenye, phungula okanye thatha amacala e-real nele- imaginary parts ecaleni.\u00a0 Nanku umzekelo, (7 + 5'''i''') \u2212 (3 + 3'''i''') = (7 \u2212 3) + (5 \u2212 3)'''i''' = 4 + 2'''i'''.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Kunzima ukuphinda-phinda ii-complex numbers ezimbini. Kulula kakhulu ukuchaza nje ngokubanzi, ngee-complex numbers ezimbini\u00a0 + b'''i''' and c + d'''i'''.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math>( a + b \\mathrm{i} ) \\times ( c + d\\mathrm{i} ) = a \\times c + a \\times d\\mathrm{i} + b\\mathrm{i} \\times c + b\\mathrm{i} \\times d\\mathrm{i} = ac + ad\\mathrm{i} + bc\\mathrm{i} -bd = ( ac - bd ) + ( ad + bc )\\mathrm{i}<</ins>/<ins class=\"diffchange diffchange-inline\">math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">For example, (4 + 5'''i''') \u00d7 (3 + 2'''i''') = (4 \u00d7 3 \u2212 5 \u00d7 2) + (4 \u00d7 2 + 5 \u00d7 3)'''i''' = (12 \u2212 10) + (8 + 15)'''i''' = 2 + 23'''i'''</ins>.</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">=== Ii-Transcendental numbers ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">I-real okanye i-complex number ibizwa ngokuba yi-''transcendental number'' xa ingenakufunyanwa ngenxa yesiphumo se-algebraic equation inee-with integer coefficients</ins>.</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><math> a_{n}x^{n} + \\dots + a_{2}x^2 + a_{1}x + a_{0} = 0 <</ins>/<ins class=\"diffchange diffchange-inline\">math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Kunganzima kakhulu ukufumanisa okokuba ingaba inani elithile li-transcendental na okanye hayi. I-transcendental number nganye ikwayi-irrational number. Abantu bokuqala abaqaphela okokuba kukho ii-transcendental numbers yaba ngu-Gottfried Wilhelm Leibniz no-Leonhard Euler. Umntu wokuqala owa-prova okokuba kukho ii-transcendental numbers yaba ngu-Joseph Liouville. Waakwenza oku ngo-1844.</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Amanani a-transcendental awaziwa kakhulu</ins>:</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* e</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* \u03c0</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* e<sup>a<</ins>/<ins class=\"diffchange diffchange-inline\">sup> </ins>for <ins class=\"diffchange diffchange-inline\">algebraic a <tt>\u2260</tt> 0</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* <math>2^{\\sqrt{2}}</math></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">== Ii-Notes ==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">== Amagama amanani ==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Jonga nakulo mbhalo uthi: amagama amanani abekwe ngesiNgesi</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">IsiNgesi sinamagama akhethekileyo samagama athile kwi-decimal number system, laa manani azii-\"powers of ten\". Onke ke la mamnani angamanani abizwa ngokuba zii-''power of ten numbers'' kwi-decimal number system asebenzisa nje i-symbol engu-\"1\" kunye ne-symbol engu-\"0\". Umzekelo, ishumi lamashumi ekuthiwa ngesiNgesi u-ten tens, yinto enye no-ten times ten, okanye ikhulu (one hundred). Ngokwee-symbols singathi \"10 \u00d7 10 = 100\". Kananjalo, amashumi amakhulu (ten hundreds) yinto enye neshumi eliphinda-phindwe ngekhulu elinye (ten times one hundred),okanye sithi liwaka (or one thousand). Kwii-symbols, oku singathi ngu-\"10 \u00d7 100 = 10 \u00d7 10 \u00d7 10 = 1000\". Kukwakho nezinye ii-power of ten numbers ezikwanamagama awodwa.\u00a0 </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* [[u-1 (inani)|1]] \u2013 ngu-one</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* [[i-10 (linani|10]] \u2013 lishumi</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* ikhulu \u2013 one [[ikhulu]</ins>] <ins class=\"diffchange diffchange-inline\">elinye</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>* <ins class=\"diffchange diffchange-inline\">1000 \u2013 one </ins>[<ins class=\"diffchange diffchange-inline\">[iwaka ekinye}}</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* [[000,000]] \u2013 [[isigidi esinye]]</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"> </ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">Xa kusetyenziswa amanani amakhulu kunala, zimbini iindlela zokuthiya amanani ngesiNgesi. phantsi kwe sikali eside (\"the long scale\") kuqala kuvele igama elitsha qho xa inani liye lalikhulu ngesigidi kunenani lokugqibela ukuthiwa.\u00a0 esi sikali sikwabizwa ngokuba siyi-\"British Standard\". esi sikali ke sasisaya kuxhaphaka eBritani, kodwa ke kungoku nje asisasetyenziswa kangako kumazwe antetho yazo isisiNgesi. Nangona kunjalo sisasetyenziswa kwezinye izizwe zaseYurophu. Esinye isikali yi-\"short scale\" kulapho ke igama elitsha elithi linikwe qho xa inani liye langaphezulu ngokuphindwa-phindwe kaliwaka ngobukhulu kunelo nani lokugqibela ebelivele lilkho. fikelela kwisigidi xa kuthelekiswa nenani lokugqibela elikhoyo. lafikelela kwisigidi kwinani lokugqibela elinikiweyo</ins>. <ins class=\"diffchange diffchange-inline\">Kungoku nje esi sikali ke sesona sixhaphakileyo kwizizwe apho abantu balhona bantetho yabo isisiNgesi</ins>. \u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* 1,000,000,000 \u2013 [[isigidi-gidi]] esinye (isikali esifutshane), [[i-milliard]] enye (isikali eside)</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* 1,000,000,000,000 \u2013 [[i-trillion]] enye (isikali esifutshane), [[isigidi-gidi]] esinye (isikali eside)</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">* 1,000,000,000,000,000 \u2013 [[i-quadrillion]] enye (isikali esifutshane), {[amagama amanani amakhulu}} (isiklai eside)</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">== Notes ==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">=== Amanani a-rational (Ii-rational numbers) ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">=== Amanani a-negative ===</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div>\u00a0</div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">== Iindidi zamanani ==</ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\"><references </ins>/<ins class=\"diffchange diffchange-inline\">></ins></div></td></tr>\n<tr><td colspan=\"2\" class=\"diff-side-deleted\"></td><td class=\"diff-marker\" data-marker=\"+\"></td><td class=\"diff-addedline diff-side-added\"><div><ins class=\"diffchange diffchange-inline\">[[Category</ins>:<ins class=\"diffchange diffchange-inline\">Amanani]</ins>]</div></td></tr>\n"
}
}