Answer Key: Numbers
Eloise Kadlecek, Collin Kawan-Hemler, and Shoshana Promer
Exercise 2.1
(b) Compare your transcription with a classmate’s.
VNo. Tǒbi.vel.chäga. 1
Dos. Tǒpa.l.cato. 2
Tres. Chǒna.l.cäyo. 3
Quatro. Täpa.l.tǎa. 4
Exercise 2.2
Possible answers may include periods between the words, accent marks, or ornate lettering.
Exercise 4.1
Your turn! Each of the following numbers is already split into parts for you. Figure out the composition of each number, then explain how they mean what they mean.
16. chino-bi-tobi
Fifteen-and-one = 15+1 = 16
17. chino-bi-topa
Fifteen-and-two = 15+2 = 17
or chino-bi-cato
Fifteen-and-two(set B) = 15+2 = 17
or ce-chona qui-zaha calle
Another three will walk to twenty = 3 more until 20 = 20-3 = 17
18. chino-bi-chona
Fifteen-and-three = 15+3 = 18
or ce-topa calle
Another two until twenty= 20-2 = 18
or ce-topa qui-zaha calle
Another two will walk to twenty= 2 more until 20= 20-2= 18
19. chino-bi-tapa
Fifteen-and-four = 15+4= 19
or ce-tobi calle
Another one until twenty = 20-1 = 19
or ce-tobi qui-zaha calle
Another one will walk to twenty = 1 more until 20 = 20-1 = 19
20. calle
Twenty
21. calle-bi-tobi
Twenty-and-one = 20+1= 21
22. calle-bi-topa
Twenty-and-two = 20+2= 22
or calle-bi-cato
Twenty-and-two(set B)= 20+2= 22
23. calle-bi-chona
Twenty-and-three= 20+3= 23
or calle-bi-cayo
Twenty-and-three(set B)= 20+3= 23
24. calle-bi-tapa
Twenty-and-four= 20+4= 24
25. calle-bi-cayo
Twenty-and-five= 20+5= 25
26. calle-bi-xopa
Twenty-and-six = 20+6= 26
27. calle-bi-cache
Twenty-and-seven= 20+7= 27
28. calle-bi-xono
Twenty-and-eight= 20+8= 28
29. calle-bi-ga
Twenty-and-nine= 20+9= 29
30. calle-bi-chij
Twenty-and-ten= 20+10= 30
Exercise 4.2
Zapotec seems to use 15 and 20 as anchor numbers (base 15 or 20). English and Spanish use 10 as an anchor number (base 10), counting how many after multiples of ten each number is. All of these languages seem to use multiples of 5 as their bases, most likely due to the number of fingers we have, but the difference is which multiple of 5 is used. Answers will vary.
Exercise 4.3
Ready for a challenge? In the numbers below you’ll notice that there are no hyphens that divide the words into their meaningful parts. This time, figure out what the parts are and analyze them as you did in Exercise 4.1. (While we stop here at 24,000, the Zapotec number system could be used to count higher, of course! There is no reason it couldn’t continue to count infinitely high.)
31. callebichijbitobi
calle-bi-chij-bi-tobi
twenty-and-ten-and-one (20+10+1= 31)
32. callebichijbitopa
calle-bi-chij-bi-topa
twenty-and-ten-and-two (20+10+2= 32)
33. callebichijbichona
calle-bi-chij-bi-chona
twenty-and-ten-and-three (20+10+3= 33)
35. callebichino
calle-bi-chino
Twenty-and-fifteen ((20+15= 35)
40. toua
Forty
41. touabitobi
toua-bi-tobi= Forty-and-one= 40+1= 41
50. touabichij
Toua-bi-chi= forty-and-ten= 40+10= 50
51. touabichijbitobi
toua-bi-chij-bi-tobi= forty-and-ten-and-one= 40+10+1= 51
60. cayona
Sixty
100. cayoa
One hundred
120. xopalalle
xopa-lalle= six-twenty= 6×20= 120
130. xopalallebichij
xopa-lalle-bi-chij= six-twenty-and-ten= 6×20+10= 130
140. cachelalle
cache-lalle= seven-twenty- 7×20= 140
200. chija
Two-hundred
400. tobiela
tobi-ela= one-four hundred= 1×400= 400
500. tobiela cayoa
Tobi-ela cayoa= four hundred one hundred= 400+100= 500
600. tobiela chija
Four hundred two hundred= 400+200= 600
800. topaela
topa-ela= two-four hundred- 2×400= 800
1000. catoela chija
cato-ela chija= two(set B)-four hundred two-hundred= 2×400+200= 1000
1600. tapaela
tapa-ela= four-four hundred= 4×400= 1600
2000. cayoela
cayo-ela= five-four hundred= 5×400= 2000
4000. chijela
chij-ela= ten-four hundred= 10*400= 4000
8000. chagaçoti or tobiçoti
chaga-çoti= one(set B)-eight thousand= 1×8000=8000
tobi-çoti= one(set A)-eight thousand= 1×8000=8000
24000. chonaçoti
chona-çoti= three-eight thousand= 3×8000=24000
Exercise 4.4
Explain how the phrase tapa ella chela cayona bixopa means ‘1666’. Some words may be spelled slightly differently than you saw above!
(This number appears in the first couple lines of a bill of sale written in San Miguel Etla in 1666. You can see the images here: https://ticha.haverford.edu/en/texts/SME666/.)
Tapa ella chela cayona bixopa
4 400 60 and 6
tapa ella chela cayona bi-xopa=
four-four hundred sixty-and-six= 4×400+60+6= 1666
Exercise 4.5
Ready for a challenge? Based on the pattern you figured out in Exercises 4.1, 4.3, and 4.4, how do you think you would say the following numbers in Colonial Valley Zapotec?
74
cayonabichijbitapa= 60+10+4= 74
86
cayonabicallebixopa
97
cechona quizaha cayoa= 3 will walk to 100= 100-3= 97
124
Cayoa callebitapa
136
Cayoa callebichijbixopa
402
tobielabitopa= 400+2= 402
Exercise 5.1
10-14: base 10
15-19: base 15
20+: base 20
Exercise 5.2
The Mayan number system used dots and bars. It is base 20, similar to some numbers in the Zapotec number system. These dots and bars (5 dots equals one bar) are combined in ways similar to the Zapotec numerical system, where they add numbers to the bases to make a larger number. So you could have a number like 425, and the bars would be stacked on top of each other, the top being the 400s place (so one dot) the middle being the 20s place (one dot) and the bottom being the 1s place, so a bar (equaling 5).
Exercise 6.1
Although similarities can be seen, in today’s spoken version, vowels at the end are almost always omitted, and ‘bi’, which in the Colonial written version was used as ‘and’ is not used in the modern version. The numbers seemed to have changed by losing the vowels at the end and having a more drawn out sound in the middle. Also instead of calle (or starting with a c) these numbers start with a g, so this can show us the spelling and pronunciation of the word for 20 has changed. Answers may vary.
Exercise 6.2 How does it work in your language?
What are the numbers like in your language? What similarities and differences do you notice between the numbers in your language and the numbers in Colonial Valley Zapotec?
Answers may vary based on language. Possible answers may talk about bases and how numbers are constructed.
In English, higher numbers are made up of parts similar to Colonial Valley Zapotec. However, the English number system is based on multiples of 10, while this version of Zapotec uses 20 as the base number.
Exercise 6.3
In Isthmus Zapotec, the names of the numbers themselves are very similar to Colonial Valley Zapotec, with some variation. Additionally, 20 is used as a base number, with forty being two times twenty, sixty being three times 20, and so on. This is the same as Colonial Valley Zapotec. There are differences between the spelling between the variants: c could be used in place of g, because they are minimal pairs (two sounds that differ by only one feature).
Here are numbers in Isthmus Zapotec
1 – tobi
2 – chupa
3 – chonna
4 – tapa
5 – gaayu’
6 – xhoopa’
7 – gadxe
8 – xhono
9 – ga’
10 – chii