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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]
|
|
0
|
| atausiq |
1
|
|
1
|
| malġuk |
2
|
|
2
|
| piŋasut |
3
|
|
3
|
| sisamat |
4
|
|
4
|
| tallimat |
5
|
|
5
|
| itchaksrat |
6
|
|
6
|
| tallimat malġuk |
5 + 2
|
|
7
|
| tallimat piŋasut |
5 + 3
|
|
8
|
| quliŋŋuġutaiḷaq |
10 − 1
|
|
9
|
| qulit |
10
|
|
10
|
| qulit atausiq |
10 + 1
|
|
11
|
| qulit malġuk |
10 + 2
|
|
12
|
| qulit piŋasut |
10 + 3
|
|
13
|
| akimiaġutaiḷaq |
15 − 1
|
|
14
|
| akimiaq |
15
|
|
15
|
| akimiaq atausiq |
15 + 1
|
|
16
|
| akimiaq malġuk |
15 + 2
|
|
17
|
| akimiaq piŋasut |
15 + 3
|
|
18
|
| iñuiññaġutaiḷaq |
20 − 1
|
|
19
|
| iñuiññaq |
20
|
|
20
|
| iḷagiññaq |
400
|
x24px|𝋀x24px|𝋀
|
400
|
n-kipiaq (n × 201)
| malġukipiaq |
2×20
|
|
40
|
| piŋasukipiaq |
3×20
|
|
60
|
| sisamakipiaq |
4×20
|
|
80
|
| tallimakipiaq |
5×20
|
|
100
|
| tallimakipiaq iñuiññaq |
5×20 + 20
|
|
120
|
| tallimakipiaq malġukipiaq |
5×20 + 2×20
|
|
140
|
| tallimakipiaq piŋasukipiaq |
5×20 + 3×20
|
|
160
|
| tallimakipiaq sisamakipiaq |
5×20 + 4×20
|
|
180
|
| qulikipiaq |
10×20
|
|
200
|
| qulikipiaq iñuiññaq |
10×20 + 20
|
|
220
|
| qulikipiaq malġukipiaq |
10×20 + 2×20
|
|
240
|
| qulikipiaq piŋasukipiaq |
10×20 + 3×20
|
|
260
|
| qulikipiaq sisamakipiaq |
10×20 + 4×20
|
|
280
|
| akimiakipiaq |
15×20
|
|
300
|
| akimiakipiaq iñuiññaq |
15×20 + 20
|
|
320
|
| akimiakipiaq malġukipiaq |
15×20 + 2×20
|
|
340
|
| akimiakipiaq piŋasukipiaq |
15×20 + 3×20
|
|
360
|
| akimiakipiaq sisamakipiaq |
15×20 + 4×20
|
|
380
|
iñuiññakipiaq
(= iḷagiññaq above) |
20×20
[= 202]
|
x24px|𝋀x24px|𝋀
|
400
|
n-agliaq (n × 202)
| malġuagliaq |
2×202
|
x24px|𝋀x24px|𝋀
|
800
|
| piŋasuagliaq |
3×202
|
x24px|𝋀x24px|𝋀
|
1,200
|
| sisamaagliaq |
4×202
|
x24px|𝋀x24px|𝋀
|
1,600
|
| tallimaagliaq |
5×202
|
x24px|𝋀x24px|𝋀
|
2,000
|
| quliagliaq |
10×202
|
x24px|𝋀x24px|𝋀
|
4,000
|
| akimiagliaq |
15×202
|
x24px|𝋀x24px|𝋀
|
6,000
|
n-pak (n × 203)
| atausiqpak |
1×203 [= 203]
|
,x24px|𝋀x24px|𝋀x24px|𝋀
|
8,000
|
| malġuqpak |
2×203
|
,x24px|𝋀x24px|𝋀x24px|𝋀
|
16,000
|
| piŋasuqpak |
3×203
|
,x24px|𝋀x24px|𝋀x24px|𝋀
|
24,000
|
| sisamaqpak |
4×203
|
,x24px|𝋀x24px|𝋀x24px|𝋀
|
32,000
|
| tallimaqpak |
5×203
|
,x24px|𝋀x24px|𝋀x24px|𝋀
|
40,000
|
| quliqpak |
10×203
|
,x24px|𝋀x24px|𝋀x24px|𝋀
|
80,000
|
| akimiaqpak |
15×203
|
,x24px|𝋀x24px|𝋀x24px|𝋀
|
120,000
|
| iñuiññaqpak |
20×203 [= 204]
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
160,000
|
n-kipiaq-pak (n × 204)
| malġukipiaqpak |
2×20×203
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
320,000
|
| piŋasukipiaqpak |
3×20×203
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
480,000
|
| sisamakipiaqpak |
4×20×203
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
640,000
|
| tallimakipiaqpak |
5×20×203
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
800,000
|
| qulikipiaqpak |
10×20×203
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
1,600,000
|
| akimiakipiaqpak |
15×20×203
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
2,400,000
|
n-pak (n × 203)
| iḷagiññaqpak |
400×203 [= 205]
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
3,200,000
|
n-agliaq-pak (n × 205)
| malġuagliaqpak |
2×202×203
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
6,400,000
|
| piŋasuagliaqpak |
3×202×203
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
9,600,000
|
| sisamaagliaqpak |
4×202×203
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
12,800,000
|
| tallimaagliaqpak |
5×202×203
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
16,000,000
|
| quliagliaqpak |
10×202×203
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
32,000,000
|
| akimiagliaqpak |
15×202×203
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
48,000,000
|
n-pakaippaq (n × 206)
| atausiqpakaippaq |
1×(203)2 [= 206]
|
,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
64,000,000
|
| malġuqpakaippaq |
2×(203)2
|
,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
128,000,000
|
| piŋasuqpakaippaq |
3×(203)2
|
,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
192,000,000
|
| sisamaqpakaippaq |
4×(203)2
|
,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
256,000,000
|
| tallimaqpakaippaq |
5×(203)2
|
,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
320,000,000
|
| quliqpakaippaq |
10×(203)2
|
,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
640,000,000
|
| akimiaqpakaippaq |
15×(203)2
|
,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
960,000,000
|
| iñuiññaqpakaippaq |
20×(203)2 [= 207]
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
1,280,000,000
|
n-kipiaq-pakaippaq (n × 207)
| malġukipiaqpakaippaq |
2×20×(203)2
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
2,560,000,000
|
| piŋasukipiaqpakaippaq |
3×20×(203)2
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
3,840,000,000
|
| sisamakipiaqpakaippaq |
4×20×(203)2
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
5,120,000,000
|
| tallimakipiaqpakaippaq |
5×20×(203)2
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
6,400,000,000
|
| qulikipiaqpakaippaq |
10×20×(203)2
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
12,800,000,000
|
| akimiakipiaqpakaippaq |
15×20×(203)2
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
19,200,000,000
|
n-pakaippaq (n × 206)
| iḷagiññaqpakaippaq |
400×(203)2 [= 208]
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
25,600,000,000
|
n-agliaq-pakaippaq (n × 208)
| malġuagliaqpakaippaq |
2×202×(203)2
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
51,200,000,000
|
| piŋasuagliaqpakaippaq |
3×202×(203)2
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
76,800,000,000
|
| sisamaagliaqpakaippaq |
4×202×(203)2
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
102,400,000,000
|
| tallimaagliaqpakaippaq |
5×202×(203)2
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
128,000,000,000
|
| quliagliaqpakaippaq |
10×202×(203)2
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
256,000,000,000
|
| akimiagliaqpakaippaq |
15×202×(203)2
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
384,000,000,000
|
n-pakpiŋatchaq (n × 209)
| atausiqpakpiŋatchaq |
1×(203)3 [= 209]
|
,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
512,000,000,000
|
| malġuqpakpiŋatchaq |
2×(203)3
|
,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
1,024,000,000,000
|
| piŋasuqpakpiŋatchaq |
3×(203)3
|
,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
1,536,000,000,000
|
| sisamaqpakpiŋatchaq |
4×(203)3
|
,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
2,048,000,000,000
|
| tallimaqpakpiŋatchaq |
5×(203)3
|
,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
2,560,000,000,000
|
| quliqpakpiŋatchaq |
10×(203)3
|
,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
5,120,000,000,000
|
| akimiaqpakpiŋatchaq |
15×(203)3
|
,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
7,680,000,000,000
|
| iñuiññaqpakpiŋatchaq |
20×(203)3 [= 2010]
|
x24px|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
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
20,480,000,000,000
|
| piŋasukipiaqpakpiŋatchaq |
3×20×(203)3
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
30,720,000,000,000
|
| sisamakipiaqpakpiŋatchaq |
4×20×(203)3
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
40,960,000,000,000
|
| tallimakipiaqpakpiŋatchaq |
5×20×(203)3
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
51,200,000,000,000
|
| qulikipiaqpakpiŋatchaq |
10×20×(203)3
|
x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
102,400,000,000,000
|
| akimiakipiaqpakpiŋatchaq |
15×20×(203)3
|
x24px|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]
|
x24px|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
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
409,600,000,000,000
|
| piŋasuagliaqpakpiŋatchaq |
3×202×(203)3
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
614,400,000,000,000
|
| sisamaagliaqpakpiŋatchaq |
4×202×(203)3
|
x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
819,200,000,000,000
|
| tallimaagliaqpakpiŋatchaq |
5×202×(203)3
|
x24px|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
|
x24px|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
|
x24px|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]
|
,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀,x24px|𝋀x24px|𝋀x24px|𝋀
|
4,096,000,000,000,000
|
References
- ↑ MacLean (2014) Iñupiatun Uqaluit Taniktun Sivuninit / Iñupiaq to English Dictionary, p. 840 ff
- ↑ A deverbal noun. Outside of mathematics, suitchuq "none" or suitchuq X "no X" is normally used.
 | Original source: https://en.wikipedia.org/wiki/Iñupiaq numerals. Read more |
