Iñupiaq numerals

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Short description: Vigesimal numerals of Iñupiaq language

The Iñupiaq language has a vigesimal (base-20) numeral system. Numerals are built from a small number of root words and a number of compounding suffixes. The following list are the various numerals of the language, omitting only the higher derivatives ending in the suffix -utaiḷaq, which subtracts one from the value of the stem.[1] (See Iñupiaq language.) They are transcribed both in the vigesimal Kaktovik digits that were designed for Iñupiaq and in the decimal Hindu-Arabic digits. Apart from the subtractive suffix -utaiḷaq, which has no counterpart in Kaktovik notation, and the idiosyncratic root word itchaksrat 'six', Iñupiaq numerals are closely represented by the Kaktovik digits.

Units (n × 200)
Numeral Morphological
pattern		 Kaktovik
notation		 Hindu-Arabic
notation
kisitchisaġvik [2] 𝋀 0
atausiq 1 𝋁 1
malġuk 2 𝋂 2
piŋasut 3 𝋃 3
sisamat 4 𝋄 4
tallimat 5 𝋅 5
itchaksrat 6 𝋆 6
tallimat malġuk 5 + 2 𝋇 7
tallimat piŋasut 5 + 3 𝋈 8
quliŋŋuġutaiḷaq 10 − 1 𝋉 9
qulit 10 𝋊 10
qulit atausiq 10 + 1 𝋋 11
qulit malġuk 10 + 2 𝋌 12
qulit piŋasut 10 + 3 𝋍 13
akimiaġutaiḷaq 15 − 1 𝋎 14
akimiaq 15 𝋏 15
akimiaq atausiq 15 + 1 𝋐 16
akimiaq malġuk 15 + 2 𝋑 17
akimiaq piŋasut 15 + 3 𝋒 18
iñuiññaġutaiḷaq 20 − 1 𝋓 19
iñuiññaq 20 𝋁𝋀 20
iḷagiññaq 400 𝋁x24px|𝋀x24px|𝋀 400
n-kipiaq (n × 201)
malġukipiaq 2×20 𝋂𝋀 40
piŋasukipiaq 3×20 𝋃𝋀 60
sisamakipiaq 4×20 𝋄𝋀 80
tallimakipiaq 5×20 𝋅𝋀 100
tallimakipiaq iñuiññaq 5×20 + 20 𝋆𝋀 120
tallimakipiaq malġukipiaq 5×20 + 2×20 𝋇𝋀 140
tallimakipiaq piŋasukipiaq 5×20 + 3×20 𝋈𝋀 160
tallimakipiaq sisamakipiaq 5×20 + 4×20 𝋉𝋀 180
qulikipiaq 10×20 𝋊𝋀 200
qulikipiaq iñuiññaq 10×20 + 20 𝋋𝋀 220
qulikipiaq malġukipiaq 10×20 + 2×20 𝋌𝋀 240
qulikipiaq piŋasukipiaq 10×20 + 3×20 𝋍𝋀 260
qulikipiaq sisamakipiaq 10×20 + 4×20 𝋎𝋀 280
akimiakipiaq 15×20 𝋏𝋀 300
akimiakipiaq iñuiññaq 15×20 + 20 𝋐𝋀 320
akimiakipiaq malġukipiaq 15×20 + 2×20 𝋑𝋀 340
akimiakipiaq piŋasukipiaq 15×20 + 3×20 𝋒𝋀 360
akimiakipiaq sisamakipiaq 15×20 + 4×20 𝋓𝋀 380
iñuiññakipiaq
(= iḷagiññaq above)		 20×20
[= 202] 		𝋁x24px|𝋀x24px|𝋀 400
n-agliaq (n × 202)
malġuagliaq 2×202 𝋂x24px|𝋀x24px|𝋀 800
piŋasuagliaq 3×202 𝋃x24px|𝋀x24px|𝋀 1,200
sisamaagliaq 4×202 𝋄x24px|𝋀x24px|𝋀 1,600
tallimaagliaq 5×202 𝋅x24px|𝋀x24px|𝋀 2,000
quliagliaq 10×202 𝋊x24px|𝋀x24px|𝋀 4,000
akimiagliaq 15×202 𝋏x24px|𝋀x24px|𝋀 6,000
n-pak (n × 203)
atausiqpak 1×203 [= 203] 𝋁,x24px|𝋀x24px|𝋀x24px|𝋀 8,000
malġuqpak 2×203 𝋂,x24px|𝋀x24px|𝋀x24px|𝋀 16,000
piŋasuqpak 3×203 𝋃,x24px|𝋀x24px|𝋀x24px|𝋀 24,000
sisamaqpak 4×203 𝋄,x24px|𝋀x24px|𝋀x24px|𝋀 32,000
tallimaqpak 5×203 𝋅,x24px|𝋀x24px|𝋀x24px|𝋀 40,000
quliqpak 10×203 𝋊,x24px|𝋀x24px|𝋀x24px|𝋀 80,000
akimiaqpak 15×203 𝋏,x24px|𝋀x24px|𝋀x24px|𝋀 120,000
iñuiññaqpak 20×203 [= 204] 𝋁x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 160,000
n-kipiaq-pak (n × 204)
malġukipiaqpak 2×20×203 𝋂x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 320,000
piŋasukipiaqpak 3×20×203 𝋃x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 480,000
sisamakipiaqpak 4×20×203 𝋄x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 640,000
tallimakipiaqpak 5×20×203 𝋅x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 800,000
qulikipiaqpak 10×20×203 𝋊x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 1,600,000
akimiakipiaqpak 15×20×203 𝋏x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 2,400,000
n-pak (n × 203)
iḷagiññaqpak 400×203 [= 205] 𝋁x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 3,200,000
n-agliaq-pak (n × 205)
malġuagliaqpak 2×202×203 𝋂x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 6,400,000
piŋasuagliaqpak 3×202×203 𝋃x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 9,600,000
sisamaagliaqpak 4×202×203 𝋄x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 12,800,000
tallimaagliaqpak 5×202×203 𝋅x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 16,000,000
quliagliaqpak 10×202×203 𝋊x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 32,000,000
akimiagliaqpak 15×202×203 𝋏x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 48,000,000
n-pakaippaq (n × 206)
atausiqpakaippaq 1×(203)2 [= 206] 𝋁,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 64,000,000
malġuqpakaippaq 2×(203)2 𝋂,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 128,000,000
piŋasuqpakaippaq 3×(203)2 𝋃,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 192,000,000
sisamaqpakaippaq 4×(203)2 𝋄,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 256,000,000
tallimaqpakaippaq 5×(203)2 𝋅,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 320,000,000
quliqpakaippaq 10×(203)2 𝋊,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 640,000,000
akimiaqpakaippaq 15×(203)2 𝋏,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 960,000,000
iñuiññaqpakaippaq 20×(203)2 [= 207] 𝋁x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 1,280,000,000
n-kipiaq-pakaippaq (n × 207)
malġukipiaqpakaippaq 2×20×(203)2 𝋂x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 2,560,000,000
piŋasukipiaqpakaippaq 3×20×(203)2 𝋃x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 3,840,000,000
sisamakipiaqpakaippaq 4×20×(203)2 𝋄x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 5,120,000,000
tallimakipiaqpakaippaq 5×20×(203)2 𝋅x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 6,400,000,000
qulikipiaqpakaippaq 10×20×(203)2 𝋊x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 12,800,000,000
akimiakipiaqpakaippaq 15×20×(203)2 𝋏x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 19,200,000,000
n-pakaippaq (n × 206)
iḷagiññaqpakaippaq 400×(203)2 [= 208] 𝋁x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 25,600,000,000
n-agliaq-pakaippaq (n × 208)
malġuagliaqpakaippaq 2×202×(203)2 𝋂x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 51,200,000,000
piŋasuagliaqpakaippaq 3×202×(203)2 𝋃x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 76,800,000,000
sisamaagliaqpakaippaq 4×202×(203)2 𝋄x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 102,400,000,000
tallimaagliaqpakaippaq 5×202×(203)2 𝋅x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 128,000,000,000
quliagliaqpakaippaq 10×202×(203)2 𝋊x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 256,000,000,000
akimiagliaqpakaippaq 15×202×(203)2 𝋏x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 384,000,000,000
n-pakpiŋatchaq (n × 209)
atausiqpakpiŋatchaq 1×(203)3 [= 209] 𝋁,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 512,000,000,000
malġuqpakpiŋatchaq 2×(203)3 𝋂,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 1,024,000,000,000
piŋasuqpakpiŋatchaq 3×(203)3 𝋃,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 1,536,000,000,000
sisamaqpakpiŋatchaq 4×(203)3 𝋄,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 2,048,000,000,000
tallimaqpakpiŋatchaq 5×(203)3 𝋅,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 2,560,000,000,000
quliqpakpiŋatchaq 10×(203)3 𝋊,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 5,120,000,000,000
akimiaqpakpiŋatchaq 15×(203)3 𝋏,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 7,680,000,000,000
iñuiññaqpakpiŋatchaq 20×(203)3 [= 2010] 𝋁x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 10,240,000,000,000
n-kipiaq-pakpiŋatchaq (n × 2010)
malġukipiaqpakpiŋatchaq 2×20×(203)3 𝋂x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 20,480,000,000,000
piŋasukipiaqpakpiŋatchaq 3×20×(203)3 𝋃x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 30,720,000,000,000
sisamakipiaqpakpiŋatchaq 4×20×(203)3 𝋄x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 40,960,000,000,000
tallimakipiaqpakpiŋatchaq 5×20×(203)3 𝋅x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 51,200,000,000,000
qulikipiaqpakpiŋatchaq 10×20×(203)3 𝋊x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 102,400,000,000,000
akimiakipiaqpakpiŋatchaq 15×20×(203)3 𝋏x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 153,600,000,000,000
n-pakpiŋatchaq (n × 209)
iḷagiññaqpakpiŋatchaq 400×(203)3 [= 2011] 𝋁x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 204,800,000,000,000
n-agliaq-pakpiŋatchaq (n × 2011)
malġuagliaqpakpiŋatchaq 2×202×(203)3 𝋂x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 409,600,000,000,000
piŋasuagliaqpakpiŋatchaq 3×202×(203)3 𝋃x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 614,400,000,000,000
sisamaagliaqpakpiŋatchaq 4×202×(203)3 𝋄x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 819,200,000,000,000
tallimaagliaqpakpiŋatchaq 5×202×(203)3 𝋅x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 1,024,000,000,000,000
quliagliaqpakpiŋatchaq 10×202×(203)3 𝋊x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 2,048,000,000,000,000
akimiagliaqpakpiŋatchaq 15×202×(203)3 𝋏x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 3,072,000,000,000,000
iñuiññagliaqpakpiŋatchaq 20×202×(203)3 [= 2012] 𝋁,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀 4,096,000,000,000,000

References

  1. ↑ MacLean (2014) Iñupiatun Uqaluit Taniktun Sivuninit / Iñupiaq to English Dictionary, p. 840 ff
  2. ↑ A deverbal noun. Outside of mathematics, suitchuq "none" or suitchuq X "no X" is normally used.



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