Re: Numbers and math

>A classic question is: how do you count to ten in your conlang?
1 = in
2 = sau
3 = sri
4 = pur
5 = ip
6 = ce
7 = ciu
8 = ej
9 = mu
10 = ðo
11 = ðoïn
12 = ðosau
13 = ðosri
....

20 = sauðo
21 = sauðo inuj ("twenty and one")
22 = sauðo sauuj
....

100 = tor
101 = tor inuj
102 = tor sauuj
....

110 = torðo inuj
111 = torðo sauuj
....

120 = tor sauðouj
121 = tor sauðo inuj
....
200 = sautor
210 = sautor ðouj
....
1000 = deza
1001 = deza inuj
1010 = deza ðouj
1100 = dezator
2000 = saudeza
2100 = saudeza toruj
....
10000 = ñadeza
10001 = ñadeza inuj
10010 = ñadeza ðouj
10100 = ñadezator (!!)
11000 = ñadeza dezaüj (!!)
20000 = ñasaudeza (!!)
....
100000 = tordeza
100100 = tordezator (!)
101000 = tordeza dezaüj (!)
110000 = tordeza ñadezauj
....
1 000 000 = deziza (and everything works normally after that)

> - do you form ordinals from cardinals? how?
Yes. "Sau" for example means "two" but it can also be a verb meaning "to be
the second". This verb's (slightly irregular) present indefinite
participle, "saurd", means "second".

> - do you have a zero?
Oc.

> - can numbers be negative?
Yes; "minus two" is "sau r'cadand" (two owed). Positive two would be "sau
opseiand" (two possessed).

> - fractions?
Yes, formed by adding the suffix -er ("part"). Sauer = half. Torer =
percent. However, to express a percent they would ordinarily use the same
system they use for measuring circles: gradians (four-hundredths).

Iar nialc purtor krocain dractas mas buas! (I need a four-hundred-gradian
effort from each of you!)

> - how do you add, subtract, multiply and divide? (if you know how)
K'tior saun saum narter puran. (To give two to two makes four.)
K'tur saun puras narter saun. (To take two from four makes two.)
(OR:)
Sau s'tiord saun slauper purat. (Two given two equals four.)
Pur g'tuard saun slauper saut. (Four from which two is taken equals four.)

Sauor saujas slauper purat. (Two sets of twos equals four.)
Pur r'dicard saum slauper saut. (Four divided into two equals two.)

Note: only the verb "slaup" (to equal) is used for equations. If you used
the verb "is" (to be the same as), they would look at you funny and
say "Iks sau s'tiord saun iser purat. Sau s'tiord saun staer sau picai. Pur
staer zent in." ("Two and two aren't the same as four. Two and two are two
numbers. Four is only one number.")

> - what about raising to the nth power and n-roots?
Roots I don't know about, but the positive nth power is expressed with the
verb kaub "be big; be raised to a power"; e.g. ðo cekaubard slauper
deziza "ten to the sixth equals a million".

A negative power is expressed with the verb pik "be small; be raised to a
negative power"; e.g.

Sauer slauper sauor cajas, ðo inpikard.  2=2*(10^-1).