Welsh numerals
The traditional counting system used in the Welsh language is vigesimal, i.e. based on twenties as in the French numerals for 60-99, where numbers from 11–14 are "x on ten", 16–19 are "x on fifteen" ; numbers from 21–39 are "1–19 on twenty", 40 is "two twenty", 60 is "three twenty", etc.
There is also a decimal counting system, where numbers are "x ten y" unit, e.g. thirty-five in decimal is tri deg pump while in vigesimal it is pymtheg ar hugain.
Numerals
Variation in form
There is some syntactically and phonologically triggered variation in the form of numerals. There are, for example, masculine and feminine forms of the numbers "two", "three" and "four", which must agree with the grammatical gender of the objects being counted. The numerals for "five", "six" and "hundred" also have reduced forms when they precede the object they are counting. The words for "ten", "twelve", and "fifteen" have the alternative forms deng, deuddeng, pymtheng used before nasals and, occasionally, vowels; these forms are becoming less common. Numerals change as expected according to normal rules of consonant mutation; some also trigger mutation in some following words.Use of the decimal system
The decimal system is widely used, but is rather uncommon for dates and ages. Larger numbers, however, tend to be expressed in this system e.g. 1,965 mil, naw cant chwe deg pump. In referring to years, on the other hand, the number of thousands is stated, followed by the individual digits, e.g. 1965 mil naw chwe pump. This system appears to have broken down for years after 2000, e.g. whereas 1905 is mil naw dim pump, 2005 is dwy fil a phump.The Welsh decimal counting system was devised by 19th-century Patagonian Welsh businessmen in Argentina for accountancy purposes. It was recommended to teachers for use in the first Welsh language schools in Patagonia by Richard Jones Berwyn in a book published in 1878. The system was later adopted in Wales in the late 1940s with the beginning of Welsh-medium education.
Use with nouns
The singular form of the noun is used with numbers, but for larger numbers an alternative form is permitted, where o with the plural noun follows the number. Except where using this plural form, the noun is placed directly after the number but before any parts of the number that are added using ar in the traditional system.Nouns are also mutated following many numbers. Un triggers the soft mutation of feminine nouns, other than those beginning with "ll" and "rh", but not masculine nouns. Dau and dwy both trigger the soft mutation. Tri and chwe trigger the aspirate mutation. Several higher numbers trigger the nasal mutation when used with blynedd. The part of the number immediately preceding the noun will determine any mutation of the noun. In the plural form with o, the soft mutation is used as is normal after o.
The following example illustrates several of these points:
| English | Thirty-six dogs | - | - | - | - | - |
| Traditional system |