Multiplication, addition, and subtraction in numerals: formal variation in Latin’s decads+ from an Indo-European perspective

Abstract While formal variation in Latin’s numerals is generally acknowledged, little is known about (relative) incidence, distribution, context, or linguistic productivity. Addressing this lacuna, this article examines “decads+” in Latin, which convey the numbers between the full decads: the teens (‘eleven’ through ‘nineteen’) as well as the numerals between the higher decads starting at ‘twenty-one’ through ‘ninety-nine’. Latin’s decads+ are compounds and prone to variation. The data, which are drawn from a variety of sources, reveal (a) substantial formal variation in Latin, both internally and typologically; (b) co-existence of several types of formation; (c) productivity of potential borrowings; (d) resilience of early formations; (e) patterns in structure and incidence that anticipate the Romance numerals; and (f) historical trends. From a typological and general linguistic perspective as well, Latin’s decads+ are most relevant because their formal variation involves sequence, connector, and arithmetical operations and because their historical depth shows a gradual shift away from widespread formal variation, eventually resulting in the relatively rigid system found in Romance. Moreover, the combined system attested in decads+ in Latin – based on a combination of inherited, innovative and borrowed patterns and reflecting different stages of development – presents a number of typological inconsistencies that require further assessment.