User:Loekıa/Numbers: Difference between revisions

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== Background ==
== Background ==
In previous versions of Toaq, numbers took the form of '''verbs of cardinality''' (e.g. {{T|heı}} was "to be ten in number"). But this system was far from perfect: it made it awkward to talk about numbers in the abstract, and gave us no natural way to extend the system to more "exotic" numbers like the negative integers, non-integers, or even zero for that matter.
In previous versions of Toaq, numbers took the form of '''verbs of cardinality''' (e.g. {{T|heı}} was "to be ten in number"). But this system was limited: it made it awkward to talk about numbers in the abstract, and gave us no natural way to extend the system to more "exotic" numbers like the negative integers, non-integers, or even zero for that matter.


Now, there have been plenty of number system proposals in the past (particularly in the days of Toaq Beta), but now that we have prefixes to play with and special grammar for pronouns, I think Delta has given us the chance to do even better.
There have been plenty of number system proposals in the past (particularly in the days of Toaq Beta), but now that we have prefixes to play with and special grammar for pronouns, I think Delta has given us the chance to do even better.


== The basics ==
== The basics ==
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!English
!English
|-
|-
|{{Derani|󱛄󱛊󱛃󱛍󱚺󱚱|kóam}}
|{{Dr|kóam}}
|zero
|zero
|-
|-
|{{Derani|󱛀󱛊󱚹|shí}}
|{{Dr|shí}}
|one
|one
|-
|-
|{{Derani|󱛃󱛊󱚲|gú}}
|{{Dr|gú}}
|two
|two
|-
|-
|{{Derani|󱚺󱛊󱚺󱛂|sáq}}
|{{Dr|sáq}}
|three
|three
|-
|-
|{{Derani|󱚾󱛊󱛃|jó}}
|{{Dr|jó}}
|four
|four
|-
|-
|{{Derani|󱚴󱛊󱚴|fé}}
|{{Dr|fé}}
|five
|five
|-
|-
|{{Derani|󱚹󱛊󱚹|cí}}
|{{Dr|cí}}
|six
|six
|-
|-
|{{Derani|󱚶󱛊󱚹󱛍󱚺󱛎󱚹|díaı}}
|{{Dr|díaı}}
|seven
|seven
|-
|-
|{{Derani|󱚻󱛊󱛃󱛍󱚺󱛎󱚹|róaı}}
|{{Dr|róaı}}
|eight
|eight
|-
|-
|{{Derani|󱚵󱛊󱚴󱛎󱚹|néı}}
|{{Dr|néı}}
|nine
|nine
|}
|}


{{Example|{{Derani|󱚵󱚴󱛍󱚲 󱚴󱛊󱚴 󱛃󱛊󱚲 󱚻󱛊󱛃󱛎󱚹 󱚺󱛊󱚺󱛂 󱛕|Neu fé gú róı sáq.}}|Five is the sum of two and three.}}
{{Example|{{Dr|Neu fé gú róı sáq.}}|Five is the sum of two and three.}}


By combining a number with a prefix, you can turn it into another part of speech. For example, to get a verb of cardinality, we use the prefix {{Derani|󱚵󱚴󱛒|ne-}}.
By combining a number with a prefix, you can turn it into another part of speech. For example, to get a verb of cardinality, we use the prefix {{Dr|ne-}}.


{{Example|{{Derani|󱚴󱚾󱚲 󱛖 󱚵󱚴󱛒󱚹󱚹 󱚺󱛊󱚰󱚺 󱛕|Eju… Nẹcı áma.}}|Let's see… There are six of us. (We are six in number.)}}
{{Example|{{Dr|Eju… Nẹcı áma.}}|Let's see… There are six of us. (We are six in number.)}}


For brevity, when a verb of cardinality appears in the falling tone, we're actually allowed to omit the prefix altogether: {{Derani|󱚹󱚹 󱚺󱛊󱚰󱚺 󱛕|Cı áma.}} As linguists, we say that {{Derani|󱚵󱚴󱛒|ne-}} has a [[Allomorph|null allomorph]].
For brevity, when a verb of cardinality appears in the falling tone, we're actually allowed to omit the prefix altogether: {{Dr|Cı áma.}} As linguists, we say that {{Dr|ne-}} has a [[Allomorph|null allomorph]].


Another important prefix is {{Derani|󱛄󱛃󱛒|ko-}}. It forms '''ordinals''', much like the English suffix '-th'.
Another important prefix is {{Dr|ko-}}. It forms '''ordinals''', much like the English suffix '-th'.


{{Example|{{Derani|󱛄󱛃󱛒󱚺󱚺󱛂 󱚰󱛊󱚺󱛂 󱛄󱛊󱚴 󱛘󱚲󱚲󱛍󱚺󱚾󱚹󱛍󱛃󱛙 󱚷󱚹 󱛆󱛌󱚲 󱛘󱚷󱚹󱛍󱚴󱛂󱛙 󱛕|Kọsaq máq ké buajıo tı hû tıeq.}}|It's the third house on the street (third out of the houses on the street).}}
{{Example|{{Dr|Kọsaq máq ké [buajıo] tı hû [tıeq].}}|It's the third house on the street (third out of the houses on the street).}}


{{Example|{{Derani|󱚲󱛃󱛒󱚶󱚺󱚵󱚺 󱚵󱛊󱚹󱚾󱚲󱛍󱚹 󱛚 󱛄󱛌󱛃󱛒󱛀󱚹 󱚷󱛊󱚲󱛂 󱛘󱚶󱛃󱛍󱚺󱛂󱛙 󱚳󱛃 󱚵󱛊󱚹 󱛘󱛃󱚲󱛍󱚺󱛙 󱛕|Bọdana níjuı kộshı túq doaq po ní gua.}}|This city was the first in this country to fall.}}
{{Example|{{Dr|Bọdana níjuı* kộshı túq [doaq] po ní [gua].}}|This city was the first in this country to fall.}}


Finally, the prefix {{Derani|󱚽󱛃󱛒|nho-}} turns a number into a determiner:
Finally, the prefix {{Dr|nho-}} turns a number into a determiner:


{{Example|{{Derani|󱛆󱚴󱛒󱛄󱚹󱛍󱚺󱛎󱚹 󱚽󱛊󱚺󱛎󱛃 󱚽󱛊󱛃󱛒󱛃󱚲 󱛘󱛃󱛃󱚿󱚹󱛂󱛙 󱛕|Hẹkıaı nháo nhọ́gu gochıq.}}|She has two cats.}}
{{Example|{{Dr|Hẹkıaı nháo nhọ́gu [gochıq].}}|She has two cats.}}


This prefix also comes with a null allomorph which can be used as long as the determiner has a complement. So, normally we'd see this written as simply {{Derani|󱛃󱛊󱚲 󱛘󱛃󱛃󱚿󱚹󱛂󱛙|gú gochıq}}.
This prefix also comes with a null allomorph which can be used as long as the determiner has a complement. So, normally we'd see this written as simply {{Dr|gú [gochıq]}}.


== Counting higher ==
== Counting higher ==
To form larger numbers (up to 9999), digits are accompanied by a scale: {{Derani|󱛆󱚴󱛎󱚹|heı}} for tens, {{Derani|󱚴󱚲󱛍󱚴|fue}} for hundreds, and {{Derani|󱚲󱚹󱛂|bıq}} for thousands. For example, 1234 would be spoken as {{Derani|󱛀󱛊󱚹󱚲󱚹󱛂󱛃󱚲󱚴󱚲󱛍󱚴󱚺󱚺󱛂󱛆󱚴󱛎󱚹󱚾󱛃|shíbıqgufuesaqheıjo}}. Note that we never write out {{Derani|󱛄󱛊󱛃󱛍󱚺󱚱|kóam}} as a digit, and {{Derani|󱛀󱚹󱛆󱚴󱛎󱚹|shıheı}} may be abbreviated to {{Derani|󱛆󱚴󱛎󱚹|heı}}. This means that we can write [[Timeline|the year that Toaq Beta was released]] as {{Derani|󱛄󱛊󱛃󱛒󱛃󱚲󱚲󱚹󱛂󱛆󱚴󱛎󱚹󱚶󱚹󱛍󱚺󱛎󱚹|kọ́gubıqheıdıaı}}.
To form larger numbers, the golden rule is "each digit is a word". The tens place is marked with {{Dr|heı}}, and the hundreds place with {{Dr|fue}}. So for example, 123 would be spoken as {{Dr|shífue guheı saq}}. Note that we never write out {{Dr|koam}} as a digit, and {{Dr|shıheı}} and {{Dr|shıfue}} may be abbreviated to simply {{Dr|heı}} and {{Dr|fue}}.


To form ''even larger'' numbers, put the appropriate SI prefix ({{Derani|󱚰󱚴󱛃󱚺|mega}}, {{Derani|󱛃󱚹󱛃󱚺|gıga}}, {{Derani|󱚷󱚴󱚻󱚺|tera}}…) after each group of three digits.
To form ''even larger'' numbers, keep going with {{Dr|heı}} and {{Dr|fue}}, but put the appropriate scale word ({{Dr|bıq}}, {{Dr|nhoeı}}, {{Dr|gıga}}, {{Dr|tera}}…) after each group of three digits.


== Avoiding long words ==
{{Example|{{Dr|Chum bua jụ́ıshı nhoeı cıheı bıq [req] ní [doaq].}}|About one million, fifty thousand people live in this city.}}
When number words follow each other, forming what looks like a serial verb, the result is the same as though you had said one long word.


{{Example|{{Deranize|Nẹgubıqfefueshı nhána.}}|There are 2,501 of them.}}
{{Example|{{Dr|Sho cueq [Bétatoaq] râo kú kọ́gu bıq heı dıaı.}}|Toaq Beta [[Timeline|was released]] in 2017.}}


{{Example|{{Deranize|Nẹgubıq fefue shı nhána.}}|There are 2,501 of them.}}
== Negatives and decimals ==
Negatives are formed with the prefix {{Dr|ze-}}. The word {{Dr|co}} is a spoken decimal point. The resulting numbers are not cardinal numbers, so they're mostly useful as pronouns.
 
{{Example|{{Dr|Zıuhuaq zẹ́saq zẹ́jo co gu.}}|The number −3 is greater than the number −4.2.}}
 
The word {{Dr|chıo}} marks the start of repeating decimals.
 
{{Example|{{Dr|shí co gu saq chıo jo fe}}|2=1.23(45) = 1.23454545…}}
 
== Units ==
Units like {{Dr|meta}} (meter) and {{Dr|hora}} (hour) are also number words. They multiply when put next to each other, and must be paired with a number to form a '''quantity'''.


== Negatives and decimals ==
{{Example|{{Dr|Buaıne kú sáqheı meta.}}|The length is 30 meters.}}
Negatives are formed with the prefix {{Deranize|ze-}}. The number component {{Deranize|co}} is a spoken decimal point. The resulting numbers are not cardinal numbers, and so they're only useful as pronouns.
{{Example|{{Dr|Cabaq kú gú co shı kılobata hora.}}|The energy is 2.1 kWh.}}
 
They can also be inverted with {{Dr|peo-}}. For example, {{Dr|pẹometa}} is the unit m⁻¹. A quantity like 60 km/h is expressed as "sixty kilometer hour⁻¹":


{{Example|{{Deranize|Zıuhuaq zẹ́saq zẹ́jocogu.}}|The number −3 is greater than the number −4.2.}}
{{Example|{{Dr|Suaıne kú cíheı kılometa pẹohora.}}|The speed is 60 km/h.}}


== Fractions ==
== Fractions ==
The prefix {{Deranize|peo-}} turns a number ''x'' into ''1/x''. For example, {{Deranize|pẹ́ocı}} is the number 1/6.
The prefix {{Dr|peo-}} can also form fractions: for example, {{Dr|fé pẹocı}} is the number 5/6, and {{Dr|shí pẹofue}} is 1%. Just as a quantity requires both a number and a unit, a fraction requires both a numerator and denominator; {{Dr|pẹofue}} isn't particularly meaningful on its own.


When another number word is placed in front of the result, it acts like a multiplication: {{Deranize|fé pẹocı}} is the number 5/6.
Fractional units are a little different from units proper, because they form numbers, not quantities. That is, in {{Dr|róaı pẹosaq meta}}, {{Dr|pẹosaq}} must come ''before'' {{Dr|meta}} because it belongs to the number part of the quantity.


== Units ==
== Sums ==
Units like {{Deranize|meta}} (meter) and {{Deranize|hora}} (hour) are also number words. They multiply when put next to each other, and can be multiplied by a preceding number.
Some things are most naturally expressed as the sum of multiple quantities. Quantities add together when put next to each other:{{Example|{{Dr|[Fáfuaq] mı Taıtanıko bï duo hóq sáq hora heı jo mınu da.}}|The movie Titanic is 3 hours and 14 minutes long.}}You can also combine a whole number and a fraction to produce a '''mixed number'''. Just put {{Dr|roı}} between the whole number and the fraction:{{Example|{{Dr|Luı pıe jí shí roı shı pẹogu lıta [nao].}}|I've had 1 ½ liters of water.}}
== Pseudo-numbers ==
Some words like {{Dr|puı}} and {{Dr|tıopuı}} are pseudo-numbers: they can't stand alone as a number pronoun, but can still be used with certain prefixes, such as {{Dr|ne-}} and {{Dr|nho-}}.
 
{{Example|{{Dr|Hẹkıaı nháo nhọ́puı [gochıq].}}|She has many cats.}}
{{Example|{{Dr|Guache kọtıopuı [mí Lıqkoq]?}}|The how-many-th president is Lincoln?}}


{{Example|{{Deranize|Buaıne kú śaqjue meta.}}|The length is 30 meters.}}
== Writing conventions ==
{{Example|{{Deranize|Cabaq kú gúcoshı kılobata hora.}}|The energy is 2.1 kWh.}}
Of course, numbers are cumbersome to spell out in full, so we normally just write them with Arabic numerals. Toaq uses the dot "." as a decimal separator and the comma "," to divide groups of three digits, as in "10,000.56".


They can also be inverted with {{Deranize|peo-}}. For example, {{Deranize|pẹ́ometa}} is the quantity 1 m⁻¹. A quantity like 60 km/h is expressed as "sixty times kilometer times 1/hour":
One challenge when using Arabic numerals is where to put the tone marks: numbers can appear in different tones, and computers in particular have a hard time inserting and displaying diacritics on top of numbers. For this reason, we adopt the following conventions:


{{Example|{{Deranize|Suaıne kú cíheı kılometa pẹohora.}}|The speed is 60 km/h.}}
* By default, a bare number such as 24 is assumed to be in the rising tone ({{Dr|gúheı jo}}).
* A verb of cardinality should have its {{Dr|ne-}} prefix written out explicitly ({{Dr|guheı jo}} → {{Dr|nẹ24}}).
* A numeric determiner in the hiatus tone {{Done|4}} should have its {{Dr|nho-}} prefix written out ({{Dr|kıaı gû [gochıq]}} → {{Dr|kıaı nhộ2 [gochıq]}}).
* A number pronoun in the hiatus tone {{Done|4}} should have the prefix {{Dr|no-}} added ({{Dr|Huaq gû sáq}} → {{Dr|Huaq nộ2 3}}).

Latest revision as of 03:08, 25 September 2024

Officially, Toaq Delta has nothing to say about how numbers work. So, here's my unofficial proposal for a number system!

Background

In previous versions of Toaq, numbers took the form of verbs of cardinality (e.g. heı was "to be ten in number"). But this system was limited: it made it awkward to talk about numbers in the abstract, and gave us no natural way to extend the system to more "exotic" numbers like the negative integers, non-integers, or even zero for that matter.

There have been plenty of number system proposals in the past (particularly in the days of Toaq Beta), but now that we have prefixes to play with and special grammar for pronouns, I think Delta has given us the chance to do even better.

The basics

In their most basic form, numbers are pronouns.

Toaq English
󱛄󱛊󱛃󱛍󱚺󱚱 (kóam) zero
󱛀󱛊󱚹 (shí) one
󱛃󱛊󱚲 (gú) two
󱚺󱛊󱚺󱛂 (sáq) three
󱚾󱛊󱛃 (jó) four
󱚴󱛊󱚴 (fé) five
󱚹󱛊󱚹 (cí) six
󱚶󱛊󱚹󱛍󱚶 (díaı) seven
󱚻󱛊󱛃󱛍󱚶 (róaı) eight
󱚵󱛊󱚸 (néı) nine

󱚵󱚴󱛍󱚲 󱚴󱛊󱚴 󱛃󱛊󱚲 󱚻󱛊󱚽 󱚺󱛊󱚺󱛂 󱛕 (Neu fé gú róı sáq.)
Five is the sum of two and three.

By combining a number with a prefix, you can turn it into another part of speech. For example, to get a verb of cardinality, we use the prefix 󱚵󱚴󱛒 (ne-).

󱚴󱚾󱚲… 󱚵󱚴󱛒󱚹󱚹 󱚺󱛊󱚰󱚺 󱛕 (Eju… Nẹcı áma.)
Let's see… There are six of us. (We are six in number.)

For brevity, when a verb of cardinality appears in the falling tone, we're actually allowed to omit the prefix altogether: 󱚹󱚹 󱚺󱛊󱚰󱚺 󱛕 (Cı áma.) As linguists, we say that 󱚵󱚴󱛒 (ne-) has a null allomorph.

Another important prefix is 󱛄󱛃󱛒 (ko-). It forms ordinals, much like the English suffix '-th'.

󱛄󱛃󱛒󱚺󱚺󱛂 󱚰󱛊󱚺󱛂 󱛄󱛊󱚴 󱛘󱚲󱚲󱛍󱚺󱚾󱚹󱛍󱛃󱛙 󱚷󱚹 󱛆󱛌󱚲 󱛘󱚷󱚹󱛍󱚴󱛂󱛙 󱛕 (Kọsaq máq ké buajıo tı hû tıeq.)
It's the third house on the street (third out of the houses on the street).

󱚲󱛃󱛒󱚶󱚺󱚵󱚺 󱚵󱛊󱚹󱚾󱚲󱛍󱚹 󱛚 󱛄󱛌󱛃󱛒󱛀󱚹 󱚷󱛊󱚲󱛂 󱛘󱚶󱛃󱛍󱚺󱛂󱛙 󱚳󱛃 󱚵󱛊󱚹 󱛘󱛃󱚲󱛍󱚺󱛙 󱛕 (Bọdana níjuı kộshı túq doaq po ní gua.)
This city was the first in this country to fall.

Finally, the prefix 󱚽󱛃󱛒 (nho-) turns a number into a determiner:

󱛆󱚴󱛒󱛄󱚹󱛍󱚶 󱚽󱛊󱚳 󱚽󱛊󱛃󱛒󱛃󱚲 󱛘󱛃󱛃󱚿󱚹󱛂󱛙 󱛕 (Hẹkıaı nháo nhọ́gu gochıq.)
She has two cats.

This prefix also comes with a null allomorph which can be used as long as the determiner has a complement. So, normally we'd see this written as simply 󱛃󱛊󱚲 󱛘󱛃󱛃󱚿󱚹󱛂󱛙 (gú gochıq).

Counting higher

To form larger numbers, the golden rule is "each digit is a word". The tens place is marked with 󱛆󱚸 (heı), and the hundreds place with 󱚴󱚲󱛍󱚴 (fue). So for example, 123 would be spoken as 󱛀󱛊󱚹󱚴󱚲󱛍󱚴 󱛃󱚲󱛆󱚸 󱚺󱚺󱛂 (shífue guheı saq). Note that we never write out 󱛄󱛃󱛍󱚺󱚱 (koam) as a digit, and 󱛀󱚹󱛆󱚸 (shıheı) and 󱛀󱚹󱚴󱚲󱛍󱚴 (shıfue) may be abbreviated to simply 󱛆󱚸 (heı) and 󱚴󱚲󱛍󱚴 (fue).

To form even larger numbers, keep going with 󱛆󱚸 (heı) and 󱚴󱚲󱛍󱚴 (fue), but put the appropriate scale word (󱚲󱚹󱛂 (bıq), 󱚽󱛃󱛍󱚸 (nhoeı), 󱛃󱚹󱛃󱚺 (gıga), 󱚷󱚴󱚻󱚺 (tera)…) after each group of three digits.

󱚿󱚲󱚱 󱚲󱚲󱛍󱚺 󱚾󱛊󱚲󱛍󱚹󱛒󱛀󱚹 󱚽󱛃󱛍󱚸 󱚹󱚹󱛆󱚸 󱚲󱚹󱛂 󱛘󱚻󱚴󱛂󱛙 󱚵󱛊󱚹 󱛘󱚶󱛃󱛍󱚺󱛂󱛙 󱛕 (Chum bua jụ́ıshı nhoeı cıheı bıq req ní doaq.)
About one million, fifty thousand people live in this city.

󱛀󱛃 󱚹󱚲󱛍󱚴󱛂 󱛘󱚲󱛊󱚴󱚷󱚺󱚷󱛃󱛍󱚺󱛂󱛙 󱚻󱛌󱚳 󱛄󱛊󱚲 󱛄󱛊󱛃󱛒󱛃󱚲 󱚲󱚹󱛂 󱛆󱚸 󱚶󱚹󱛍󱚶 󱛕 (Sho cueq Bétatoaq râo kú kọ́gu bıq heı dıaı.)
Toaq Beta was released in 2017.

Negatives and decimals

Negatives are formed with the prefix 󱚸󱚴󱛒 (ze-). The word 󱚹󱛃 (co) is a spoken decimal point. The resulting numbers are not cardinal numbers, so they're mostly useful as pronouns.

󱚸󱚹󱛍󱚲󱛆󱚲󱛍󱚺󱛂 󱚸󱛊󱚴󱛒󱚺󱚺󱛂 󱚸󱛊󱚴󱛒󱚾󱛃 󱚹󱛃 󱛃󱚲 󱛕 (Zıuhuaq zẹ́saq zẹ́jo co gu.)
The number −3 is greater than the number −4.2.

The word 󱚿󱚹󱛍󱛃 (chıo) marks the start of repeating decimals.

󱛀󱛊󱚹 󱚹󱛃 󱛃󱚲 󱚺󱚺󱛂 󱚿󱚹󱛍󱛃 󱚾󱛃 󱚴󱚴 (shí co gu saq chıo jo fe)
1.23(45) = 1.23454545…

Units

Units like 󱚰󱚴󱚷󱚺 (meta) (meter) and 󱛆󱛃󱚻󱚺 (hora) (hour) are also number words. They multiply when put next to each other, and must be paired with a number to form a quantity.

󱚲󱚲󱛍󱚶󱚵󱚴 󱛄󱛊󱚲 󱚺󱛊󱚺󱛂󱛆󱚸 󱚰󱚴󱚷󱚺 󱛕 (Buaıne kú sáqheı meta.)
The length is 30 meters.

󱚹󱚺󱚲󱚺󱛂 󱛄󱛊󱚲 󱛃󱛊󱚲 󱚹󱛃 󱛀󱚹 󱛄󱚹󱚼󱛃󱚲󱚺󱚷󱚺 󱛆󱛃󱚻󱚺 󱛕 (Cabaq kú gú co shı kılobata hora.)
The energy is 2.1 kWh.

They can also be inverted with 󱚳󱚴󱛍󱛃󱛒 (peo-). For example, 󱚳󱚴󱛍󱛃󱛒󱚰󱚴󱚷󱚺 (pẹometa) is the unit m⁻¹. A quantity like 60 km/h is expressed as "sixty kilometer hour⁻¹":

󱚺󱚲󱛍󱚶󱚵󱚴 󱛄󱛊󱚲 󱚹󱛊󱚹󱛆󱚸 󱛄󱚹󱚼󱛃󱚰󱚴󱚷󱚺 󱚳󱚴󱛍󱛃󱛒󱛆󱛃󱚻󱚺 󱛕 (Suaıne kú cíheı kılometa pẹohora.)
The speed is 60 km/h.

Fractions

The prefix 󱚳󱚴󱛍󱛃󱛒 (peo-) can also form fractions: for example, 󱚴󱛊󱚴 󱚳󱚴󱛍󱛃󱛒󱚹󱚹 (fé pẹocı) is the number 5/6, and 󱛀󱛊󱚹 󱚳󱚴󱛍󱛃󱛒󱚴󱚲󱛍󱚴 (shí pẹofue) is 1%. Just as a quantity requires both a number and a unit, a fraction requires both a numerator and denominator; 󱚳󱚴󱛍󱛃󱛒󱚴󱚲󱛍󱚴 (pẹofue) isn't particularly meaningful on its own.

Fractional units are a little different from units proper, because they form numbers, not quantities. That is, in 󱚻󱛊󱛃󱛍󱚶 󱚳󱚴󱛍󱛃󱛒󱚺󱚺󱛂 󱚰󱚴󱚷󱚺 (róaı pẹosaq meta), 󱚳󱚴󱛍󱛃󱛒󱚺󱚺󱛂 (pẹosaq) must come before 󱚰󱚴󱚷󱚺 (meta) because it belongs to the number part of the quantity.

Sums

Some things are most naturally expressed as the sum of multiple quantities. Quantities add together when put next to each other:

󱛘󱚴󱛊󱚺󱚴󱚲󱛍󱚺󱛂󱛙 󱚰󱚹 󱚷󱚶󱚷󱚺󱚵󱚹󱛄󱛃 󱚲󱛋󱚹 󱚶󱚲󱛍󱛃 󱛆󱛊󱛃󱛂 󱚺󱛊󱚺󱛂 󱛆󱛃󱚻󱚺 󱛆󱚸 󱚾󱛃 󱚰󱚹󱚵󱚲 󱚶󱚺 󱛕 (Fáfuaq mı Taıtanıko bï duo hóq sáq hora heı jo mınu da.)
The movie Titanic is 3 hours and 14 minutes long.

You can also combine a whole number and a fraction to produce a mixed number. Just put 󱚻󱚽 (roı) between the whole number and the fraction:

󱚼󱚲󱛍󱚹 󱚳󱚹󱛍󱚴 󱚾󱛊󱚹 󱛀󱛊󱚹 󱚻󱚽 󱛀󱚹 󱚳󱚴󱛍󱛃󱛒󱛃󱚲 󱚼󱚹󱚷󱚺 󱛘󱚵󱚳󱛙 󱛕 (Luı pıe jí shí roı shı pẹogu lıta nao.)
I've had 1 ½ liters of water.

Pseudo-numbers

Some words like 󱚳󱚲󱛍󱚹 (puı) and 󱚷󱚹󱛍󱛃󱚳󱚲󱛍󱚹 (tıopuı) are pseudo-numbers: they can't stand alone as a number pronoun, but can still be used with certain prefixes, such as 󱚵󱚴󱛒 (ne-) and 󱚽󱛃󱛒 (nho-).

󱛆󱚴󱛒󱛄󱚹󱛍󱚶 󱚽󱛊󱚳 󱚽󱛊󱛃󱛒󱚳󱚲󱛍󱚹 󱛘󱛃󱛃󱚿󱚹󱛂󱛙 󱛕 (Hẹkıaı nháo nhọ́puı gochıq.)
She has many cats.

󱛃󱚲󱛍󱚺󱚿󱚴 󱛄󱛃󱛒󱚷󱚹󱛍󱛃󱚳󱚲󱛍󱚹 󱛘󱚰󱛊󱚹 󱚼󱚹󱛂󱛄󱛃󱛂󱛙 󱛗 (Guache kọtıopuı mí Lıqkoq?)
The how-many-th president is Lincoln?

Writing conventions

Of course, numbers are cumbersome to spell out in full, so we normally just write them with Arabic numerals. Toaq uses the dot "." as a decimal separator and the comma "," to divide groups of three digits, as in "10,000.56".

One challenge when using Arabic numerals is where to put the tone marks: numbers can appear in different tones, and computers in particular have a hard time inserting and displaying diacritics on top of numbers. For this reason, we adopt the following conventions:

  • By default, a bare number such as 24 is assumed to be in the rising tone (󱛃󱛊󱚲󱛆󱚸 󱚾󱛃 (gúheı jo)).
  • A verb of cardinality should have its 󱚵󱚴󱛒 (ne-) prefix written out explicitly (󱛃󱚲󱛆󱚸 󱚾󱛃 (guheı jo) → 󱚵󱚴󱛒24 (nẹ24)).
  • A numeric determiner in the hiatus tone hiatus tone should have its 󱚽󱛃󱛒 (nho-) prefix written out (󱛄󱚹󱛍󱚶 󱛃󱛌󱚲 󱛘󱛃󱛃󱚿󱚹󱛂󱛙 (kıaı gû gochıq) → 󱛄󱚹󱛍󱚶 󱚽󱛌󱛃󱛒2 󱛘󱛃󱛃󱚿󱚹󱛂󱛙 (kıaı nhộ2 gochıq)).
  • A number pronoun in the hiatus tone hiatus tone should have the prefix 󱚵󱛃󱛒 (no-) added (󱛆󱚲󱛍󱚺󱛂 󱛃󱛌󱚲 󱚺󱛊󱚺󱛂 (Huaq gû sáq) → 󱛆󱚲󱛍󱚺󱛂 󱚵󱛌󱛃󱛒2 3 (Huaq nộ2 3)).
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