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===Ordinal Numbers===
===Ordinal Numbers and Other Number Forms===


Ordinal numbers are usually formed by adding a dental suffix to the end of a number, though there is some suppletion for the first and second ordinals, and the third is irregular (just as is the case in English).  
Ordinal numbers are usually formed by adding a dental suffix to the end of a number, though there is some suppletion for the first and second ordinals, and the third is irregular (just as is the case in English). In Proto-Germanic and Gothic, all of the ordinals except for first and second used only the weak declension, but all ordinals now use both strong and weak declensions according to standard rules.


In Proto-Germanic and Gothic, all of the ordinals except for first and second used only the weak declension, but all ordinals now use both strong and weak declensions according to standard rules.
The multiplicative numbers arise from a conflation of the word ''þīfs'' ‘time, occurrence’ with the genitive singular form of the ordinal number, resulting in a robust albeit historically incorrect derivation system. In Griutungi, the concept of multiple occurrences was expressed simply as a number and the accusative of the word ''þīhs'' ‘time, occurrence’: ''ǣn þīhs'' ‘once’, ''tua þīhsa'' ‘twice’, ''þrija þīhsa'' ‘three times’, and so on. Gradually these constructions fused together (Old Valthungian: ''aenþijhs'', ''tuaþijhsa'', ''þrijþijhsa''…) and perhaps based on the more common analogue of ‘twice’, around the time of Early Middle Valthungian they were reanalyzed as a genitive ending affixed to an ordinal (Middle Valthungian: ''ǣnþis'', ''tuaþis'', ''þriþis''…) The forms of the first three multiplicatives aren’t even particularly odd, in terms of language evolution, but that apparent ordinal + genitive construction was then applied analogously to the rest of the numbers, so where we might otherwise expect ''fim þīfs'' ‘five times’ to have become ''fimþis'', instead we find the ordinal form ''fimftis''.
 
Fractions are formed from the archaic genitive plural form of numbers followed by ''dǣlaro'', literally ‘of ___ parts’, e.g. ¾ = þrīs fiðra dǣlaro = ‘three of four parts’. (This is equivalent to the modern German construction of affixing ''-tel'' to the end of numbers – e.g. ''drittel'', ''viertel'', ''zehntel'', &c – ''-tel'' being a direct equivalent of ''dǣl-''.) The genitive numbers are a holdover from ancient times, and are rarely used outside of the context of fractions; in fact, most fractions are formed by simply adding a suffix of ''-a'' to the end of a number, without any consideration that it might have once been a genitive.


{| class="wikitable" style="text-align:center; vertical-align:middle"
{| class="wikitable" style="text-align:center; vertical-align:middle"
|-
|-
!   !!colspan=2| Ordinal
!   !!colspan=2| Ordinal
!colspan=2| Multiplicative
!colspan=2| Fractional
|-
|-
! 1  
! 1  
| frumist (frumista), frums (fruma) || first
| frumist (frumista), frums (fruma)  
| first
| ǣniþis
| once, one time
|colspan=2| --
|-
|-
! 2  
! 2  
| anðra (anðra) || second
| anðra (anðra)  
| second
| tuaþis
| twice, two times
| halbž, tuǣǧa dǣlaro
| half
|-
|-
! 3  
! 3  
| þrīǧis (þrīǧa) || third  
| þrīǧis (þrīǧa)  
| third
| þriþis
| thrice, three times
| þriža dǣlaro
| third
|-
|-
! 4  
! 4  
| fiðraþs (fiðraða) || fourth  
| fiðraþs (fiðraða)  
| fourth
| fiðurþis
| four times
| fiðra dǣlaro
| quarter/fourth
|-
|-
! 5  
! 5  
| fimft (fimfta) || fifth
| fimft (fimfta)  
| fifth
| fimftis
| five times
| fimfa dǣlaro
| fifth
|-
|-
! 6  
! 6  
| sǣst (sǣsta) || sixth  
| sǣst (sǣsta)  
| sixth
| sǣstis
| six times
| sǣsa dǣlaro
| sixth
|-
|-
! 7  
! 7  
| sivunþs (sivunþa) || seventh  
| sivunþs (sivunþa)  
| seventh
| sivunþis
| seven times
| sivna dǣlaro
| seventh
|-
|-
! 8  
! 8  
| ātuþs (ātuða) || eighth  
| ātuþs (ātuða)  
| eighth
| ātuðis
| eight times
| āta dǣlaro
| eighth
|-
|-
! 9  
! 9  
| njunþs (njunþa) || ninth  
| njunþs (njunþa)  
| ninth
| njunþis
| nine times
| njuna dǣlaro
| ninth
|-
|-
! 10  
! 10  
| tǣjunþs (tǣjunþa), tǣnþs (tǣnþa) || tenth  
| tǣjunþs (tǣjunþa), tǣnþs (tǣnþa)  
| tenth
| tǣjunþis
| ten times
| tǣjun dǣlaro
| tenth
|-
|-
! 11  
! 11  
| ǣnlift (ǣnlifta) || eleventh  
| ǣnlift (ǣnlifta)  
| eleventh
| ǣnliftis
| eleven times
| ǣnliva dǣlaro
| eleventh
|-
|-
! 12  
! 12  
| tuālift (tuālifta) || twelfth  
| tuālift (tuālifta)  
| twelfth
| tuāliftis
| twelve times
| tuāliva dǣlaro
| twelfth
|-
|-
! 13  
! 13  
| þrižatǣnþs (þrižatǣnþa) || thirteenth  
| þrižatǣnþs (þrižatǣnþa)  
| thirteenth
| þrižatǣnþis
| thirteen times
| þrižatǣjun dǣlaro
| thirteenth
|-
|-
! 20  
! 20  
| twǣtiǧist (twǣtiǧista) || twentieth  
| tuǣtiǧist (twǣtiǧista)  
| twentieth
| tuǣtiǧistis
| twenty times
| tuǣtiǧa dǣlaro
| twentieth
|-
|-
! 100  
! 100  
| hundaþs (hundaða) || hundredth  
| hundaþs (hundaða)  
| hundredth
| hundaðis
| a hundred times
| hunda dǣlaro
| hundredth
|-
|-
! 1,000  
! 1,000  
| þūsundiþs (þūsundiða) || thousandth  
| þūsundiþs (þūsundiða)  
| thousandth
| þūsundiðis
| a thousand times
| þūsunǧa dǣlaro
| thousandth
|-
|-
! 1,000,000  
! 1,000,000  
| miljǭnþs (miljǭnþa) || millionth  
| miljǭnþs (miljǭnþa)  
| millionth
| miljǭnþis
| a million times
| miljǭna dǣlaro
| millionth
|-
|-
|}
|}
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