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
|
![𝋁](/wiki/images/thumb/1/1c/Kaktovik_digit_1.svg/10px-Kaktovik_digit_1.svg.png)
|
20
|
iḷagiññaq |
400
|
x24px|𝋀x24px|𝋀
|
400
|
n-kipiaq (n × 201)
malġukipiaq |
2×20
|
![𝋂](/wiki/images/thumb/b/bf/Kaktovik_digit_2.svg/14px-Kaktovik_digit_2.svg.png)
|
40
|
piŋasukipiaq |
3×20
|
![𝋃](/wiki/images/thumb/d/d5/Kaktovik_digit_3.svg/14px-Kaktovik_digit_3.svg.png)
|
60
|
sisamakipiaq |
4×20
|
![𝋄](/wiki/images/thumb/0/06/Kaktovik_digit_4.svg/15px-Kaktovik_digit_4.svg.png)
|
80
|
tallimakipiaq |
5×20
|
![𝋅](/wiki/images/thumb/9/95/Kaktovik_digit_5.svg/13px-Kaktovik_digit_5.svg.png)
|
100
|
tallimakipiaq iñuiññaq |
5×20 + 20
|
![𝋆](/wiki/images/thumb/b/bc/Kaktovik_digit_6.svg/15px-Kaktovik_digit_6.svg.png)
|
120
|
tallimakipiaq malġukipiaq |
5×20 + 2×20
|
![𝋇](/wiki/images/thumb/8/85/Kaktovik_digit_7.svg/15px-Kaktovik_digit_7.svg.png)
|
140
|
tallimakipiaq piŋasukipiaq |
5×20 + 3×20
|
![𝋈](/wiki/images/thumb/b/bd/Kaktovik_digit_8.svg/14px-Kaktovik_digit_8.svg.png)
|
160
|
tallimakipiaq sisamakipiaq |
5×20 + 4×20
|
![𝋉](/wiki/images/thumb/b/b4/Kaktovik_digit_9.svg/14px-Kaktovik_digit_9.svg.png)
|
180
|
qulikipiaq |
10×20
|
![𝋊](/wiki/images/thumb/9/91/Kaktovik_digit_10.svg/14px-Kaktovik_digit_10.svg.png)
|
200
|
qulikipiaq iñuiññaq |
10×20 + 20
|
![𝋋](/wiki/images/thumb/2/2f/Kaktovik_digit_11.svg/15px-Kaktovik_digit_11.svg.png)
|
220
|
qulikipiaq malġukipiaq |
10×20 + 2×20
|
![𝋌](/wiki/images/thumb/e/e4/Kaktovik_digit_12.svg/15px-Kaktovik_digit_12.svg.png)
|
240
|
qulikipiaq piŋasukipiaq |
10×20 + 3×20
|
![𝋍](/wiki/images/thumb/1/1e/Kaktovik_digit_13.svg/14px-Kaktovik_digit_13.svg.png)
|
260
|
qulikipiaq sisamakipiaq |
10×20 + 4×20
|
![𝋎](/wiki/images/thumb/6/63/Kaktovik_digit_14.svg/14px-Kaktovik_digit_14.svg.png)
|
280
|
akimiakipiaq |
15×20
|
![𝋏](/wiki/images/thumb/8/8c/Kaktovik_digit_15.svg/14px-Kaktovik_digit_15.svg.png)
|
300
|
akimiakipiaq iñuiññaq |
15×20 + 20
|
![𝋐](/wiki/images/thumb/6/60/Kaktovik_digit_16.svg/15px-Kaktovik_digit_16.svg.png)
|
320
|
akimiakipiaq malġukipiaq |
15×20 + 2×20
|
![𝋑](/wiki/images/thumb/b/b7/Kaktovik_digit_17.svg/15px-Kaktovik_digit_17.svg.png)
|
340
|
akimiakipiaq piŋasukipiaq |
15×20 + 3×20
|
![𝋒](/wiki/images/thumb/a/a0/Kaktovik_digit_18.svg/14px-Kaktovik_digit_18.svg.png)
|
360
|
akimiakipiaq sisamakipiaq |
15×20 + 4×20
|
![𝋓](/wiki/images/thumb/2/21/Kaktovik_digit_19.svg/15px-Kaktovik_digit_19.svg.png)
|
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.
![Public domain Public domain](/wiki/images/thumb/e/ef/Imbox_license.svg/52px-Imbox_license.svg.png) | Original source: https://en.wikipedia.org/wiki/Iñupiaq numerals. Read more |