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Dzongkha, the national language ofBhutan, has twonumeral systems, onevigesimal (base 20), and a moderndecimal system. The vigesimal system remains in robust use.Ten is anauxiliary base: the-teens are formed with ten and the numerals 1–9. Ex. cu_ci
| Numerals | Spelling | Romanisation | |
|---|---|---|---|
| Hindu-Arabic | Tibetan | ||
| 1 | ༡ | གཅིག | gcig |
| 2 | ༢ | གཉིས | gnyis |
| 3 | ༣ | གསུམ | gsum |
| 4 | ༤ | བཞི | bzhi |
| 5 | ༥ | ལྔ | lnga |
| 6 | ༦ | དྲུག | drug |
| 7 | ༧ | བདུན | bdun |
| 8 | ༨ | བརྒྱད | brgyad |
| 9 | ༩ | དགུ | bgu |
| 10 | ༡༠ | བཅུ་ཐམ | bcu tham* |
| 11 | ༡༡ | བཅུ་གཅིག | bcu gcig |
| 12 | ༡༢ | བཅུ་གཉིས | bcu gnyis |
| 13 | ༡༣ | བཅུ་གསུམ | bcu gsum |
| 14 | ༡༤ | བཅུ་བཞི | bcu bzhi |
| 15 | ༡༥ | བཅོ་ལྔ | bco lnga |
| 16 | ༡༦ | བཅུ་དྲུག | bcu drug |
| 17 | ༡༧ | བཅུ་བདུན | bcu bdun |
| 18 | ༡༨ | བཅོ་བརྒྱད | bco brgyad |
| 19 | ༡༩ | བཅུ་དགུ | bcu dgu |
| 20 | ༢༠ | ཁལ་གཅིག | khal gcig |
*When it appears on its own, ‘ten’ is usually saidབཅུ་ཐམbcu tham ‘a full ten’. In combinations it is simplyབཅུbcu.
Multiples of 20 are formed fromཁལkhal. Intermediate multiples of ten are formed withཕྱེདphyed 'half to':
| 30 | ༣༠ | ཁལ་ཕྱེད་གཉིས | khal phyed gnyis | (a half to two score) |
| 40 | ༤༠ | ཁལ་གཉིས | khal gnyis | (two score) |
| 50 | ༥༠ | ཁལ་ཕྱེད་གསུམ | khal phyed gsum | (a half to three score) |
| 100 | ༡༠༠ | ཁལ་ལྔ | khal lnga | (five score) |
| 200 | ༢༠༠ | ཁལ་བཅུ་ཐམ | khal bcu tham | (ten score) |
| 300 | ༣༠༠ | ཁལ་བཅོ་ལྔ | khal bco lnga | (fifteen score) |
400 (20²)ɲiɕu is the next unit:ɲiɕuciː 400,ɲiɕuɲi 800, etc. Higher powers are 8000 (20³)kʰecʰe ('a ɡreat score') andjãːcʰe 160,000 (20⁴).
The decimal system is the same up to 19. Then decades, however, are formed asunit–ten, as in Chinese, and the hundreds similarly. 20 is reported to beɲiɕu, the same as vigesimal numeral 400; this may be lexical interference for the expected*ɲi-cu. (In any case, there is no ambiguity, because as 400 it is obligatorilyɲiɕuciː 'one 400'.) Several of the decades have an epenthetic-p-, perhaps by analogy with 18 and 19, where the-p- presumably reflects a historical*cup 'ten':