NUMERALS.

Cardinal Numbers (Numeraloj fundamentaj).

115. The cardinal numbers are:—

(1) unu, (2) du, (3) tri, (4) kvar, (5) kvin, (6) ses, (7) sep, (8) ok, (9) naŭ, (10) dek, (100) cent, (1,000) mil, (0) (zero, naught) = nulo.

Miliono (million) is a noun, the root being milion-.

(a). The numbers 11 to 19 are formed by simply placing (10) dek before the first nine, as:—(11) dek unu, (12) dek du, (13) dek tri, (14) dek kvar, (15) dek kvin, (16) dek ses, (17) dek sep, (18) dek ok, (19) dek naŭ.

(b). The numbers (101 to 119), or (1,001 to 1,019), are formed by the addition cent, or mil, as:—(101) cent unu, (102) cent du, (110) cent dek, (116) cent dek ses, (1,001) mil unu, (1,006) mil ses, (1,114) mil cent dek kvar.

(c). The tens, hundreds, and thousands are formed by prefixing one of the numbers 2 to 9 before dek, cent, or mil, as:—(20) dudek, (30) tridek, (40) kvardek, (200) ducent, (500) kvincent, (900) naŭcent, (2,000) dumil, (4,000) kvarmil, (8,000) okmil.

(d). The intermediate numbers (21 to 29), (31 to 39), etc., are formed by adding the required number to the tens, as:—(21) dudek unu, (22) dudek du, (33) tridek tri, (96) naŭdek ses, (121) cent dudek unu, (342) tricent kvardek du, (1,021) mil dudek unu, (8,754) okmil sepcent kvindek kvar.

(e). The cardinal numbers never change their forms for case or number.

Examples.—La du infanoj dividis inter si sep pomojn = The two children divided between themselves seven apples. Unu prenis tri kaj la alia prenis kvar el la pomoj = One took three and the other took four of the apples. Kvin kaj sep faras (or, estas) dek du = 5 and 7 make (are) 12.

(f). Unu is sometimes used in the plural, and unuj then means some. It is used generally in relation with aliaj = others.

Examples.—El ŝiaj multaj infanoj, unuj estas bonaj kaj aliaj malbonaj = Among (out of) her many children, some are good and others bad. Li ekzamenis la pomojn, kaj trovis unujn bonaj kaj aliajn malbonaj = He examined the apples, and found some good and others bad. Note that bonaj and malbonaj are predicative adjectives, and therefore in the nominative (see pars. [36], [108] (b)).

(g). Unu is sometimes used when our indefinite article is employed as a numeral.[14]

Example.—Ĉar ĉiu el ni havas unu vortaron, prenu vian kaj lasu mian = Since we have each a dictionary, take yours and leave mine.

Footnote:

[14] This use of unu is not recommended.

Ordinal Numbers (Numeraloj ordaj).

116. Ordinal numbers, being really adjectives, are, in Esperanto, made such in the usual way by adding A to the cardinals, as:—unua = first, dua = second, tria = third, kvara = fourth, kvina = fifth, sesa = sixth, sepa = seventh, oka = eighth, naŭa = ninth, deka = tenth.

(a). If the cardinal is composed of two or more numbers, A is added to the last only, as:—dek-unua = eleventh, dek-dua = twelfth, dek-naŭa = nineteenth, dudeka = twentieth, dudek-unua = twenty-first, cent-tridek-naŭa = hundred and thirty-ninth.

N.B.—Note that the ordinal numbers are linked by hyphens.

(b). The Ordinals follow all the rules of adjectives as to case and number.

Examples.—Donu al li la trian, kaj prenu la kvaran = Give him the third, and take the fourth. La kvinaj etaĝoj de tiuj domoj estas tre altaj = The fifth stories of those houses are very high.

(c). The Ordinals are usually used in speaking of pages, hours, days, months, years, kings, etc.

Examples.—Paĝo trideka = Page thirty. Vidu paĝon kvardekan (or, 40^an) = See page forty (40). Henriko kvara = Henry IV. La dek-unua horo = 11 o’clock. En la dek-sesa (tago) de Aprilo = On the 16th of April. En la jaro mil-okcent-naŭdek-naŭa = In 1899. Mil-naŭcent-kvara = 1904.

In asking questions about the above, the adjective kioma is often used.

Examples.—Sur kioma paĝo vi vidis tion? = On what page did you see that? Kioma paĝo estas? = What page is it? Kioma horo estas? = What o’clock is it? Estas la dua = It is two o’clock. Kiun daton ni havas? = What is the date (or, day of the month)? Hodiaŭ estas la dudek-sepa (or, 27^a) de Marto = To-day is the 27th of March.

117. Ordinal adverbs are formed by adding E to the cardinals, as:—unue, firstly, due, secondly, sepe, seventhly, etc.

118. Substantives are formed from the cardinals by adding O. They have various meanings, as:—Unuo = a unit, or a one. Duo = a duet, or a two (of cards). Trio = a trio, or triplet, or a three (of cards). Kvaro, etc. = a four, etc. (of cards, etc., up to ten). Dek-duo = a dozen. Deko = half a score. Dudeko = a score. Cento = a hundred. Milo = a thousand. Miliono = a million.

Examples.—Li havas dudekojn da ĉevaloj, centojn da ŝafoj, kaj milojn da birdoj = He has scores of horses, hundreds of sheep, and thousands of birds. Tiuj ludkartoj estas la kvaro pika kaj la seso kera = Those cards are the four of spades and the six of hearts. Tiu cifero estas oko = That figure is an eight.

Multiples (Numeraloj multoblaj).

119. Multiples are formed by the addition of the suffix -OBL- to the cardinals, and then adding A, E, or O to mark the adjective, adverb, or noun. They can also be formed into transitive verbs by the suffix -IGI-, or intransitive by the suffix -IĜI-.

Examples.—Unuobla = Single. Unuoble = Singly. Duobla = Double, twofold. Duoble = Doubly. La duoblo = The double. Duobligi = To double, to duplicate. Duobliĝi = To become double. Triobla = Triple, threefold. Trioble = Trebly. La trioblo = The treble (of). Triobligi = To treble, to triplicate. Kvarobla = Fourfold, quadruple. Kvaroble = Quadruply. Kvaroblo = A quadruple. Kvarobligi = To quadruple, to make fourfold. Kvarobliĝi = To become quadruple. Sepobla = Sevenfold, septuple. Centoblo = A centuple. Kvinoble sep estas tridek kvin = Five times (fivefold) 7 is 35. Naŭoble ok estas sepdek du = Nine times (ninefold) 8 is 72. Kvaroble kvar estas dek ses = Four times four is 16. Dudek estas la kvaroblo de kvin = Twenty is the quadruple of five. Duobla fadeno estas pli forta ol unuobla = A double thread is stronger than a single (one). Kvarobligante sepdek kvin vi ricevas la centoblon de tri = By quadrupling 75 you get the centuple of 3.

Fractional Numbers (Numeraloj nombronaj).

120. Fractional numbers are formed by the addition of the suffix -ON- to the cardinals, and then adding A, E, or O to mark the adjective, adverb, or noun, as:—Duona = half, duone = by halves, duono = a half (1⁄2), triona = third, trione = by thirds, triono = a third (1⁄3).

Examples.—La kvarona parto de dudek kvar estas la duono de dek du, tio estas ses = The fourth part of 24 is the half of 12, that is 6. Unu triono = One third (1⁄3). Tri okonoj = Three eighths (3⁄8). Neniam faru ion poduone = Never do anything by halves. Duone ses estas tri = half of six is three.

The Collectives (Numeraloj kolektaj).

121. The collectives are formed by the addition of the suffix -OP- to the cardinals, and then adding A or E to mark adjectives or adverbs, as:—Duopa = double, two together, duope = by twos, in pairs, triope = in threes, in triplets, dekope = by tens.

Example.—Kvinope ili sin ĵetis sur min = Five together (five at a time) they threw themselves upon me.

Reiteratives (Numeraloj ripetaj).

122. Reiteratives are formed by adding the adverb foje to the cardinals, as:—Unufoje = once, dufoje = twice, trifoje = thrice, kvarfoje = four times.

Examples.—Hieraŭ mi renkontis lin unufoje (or, unu fojon), sed hodiaŭ dufoje (or, du fojojn) = Yesterday I met him once, but to-day twice.

N.B.—Note that when the substantive fojo is used, it is in the accusative, as denoting point of time (par. [68] (b)).

Distributives (Numeraloj disdividaj).

123. Distributives are marked by the preposition po placed before the cardinals, meaning at the rate of, in the proportion of.

Examples.—Al ĉiu el la laborantoj mi pagis po kvin ŝilingoj = I paid each of the workmen at the rate of five shillings. Tiu ĉi libro enhavas sesdek paĝojn; tial, se mi legos en ĉiu tago po dek kvin paĝoj, mi finos la tutan libron en kvar tagoj = This book contains 60 pages, therefore if I (shall) read (in) each day at the rate of 15 pages, I shall finish the whole book in 4 days (see "po" in list of prepositions, par. [259 (22)]).

The Time of Day (La horo).

124. There are several possible ways of expressing the time of day. "A quarter to three" (2.45) may be either:—

(a). Tri kvaronoj de la tria = three-quarters of the 3rd (hour).

(b). La dua kaj tri kvaronoj = the 2nd (hour) and three-quarters.

(c). Kvarono antaŭ la tria = a quarter before the 3rd (hour).

The last example is the only one which would be easily understood by an Englishman. Other nations use one or two of these methods, hence we find a diversity of methods used in Esperanto also. There is, however, one way used by nearly all nations, namely, that in railway time tables, and it is to be hoped that this will come into general use. Therefore to the question:—Kioma horo estas? = What time (hour) is it? we might simply say as follows:—

2.0	=La dua (horo).
2.15	=La dua (horo) kaj dek kvin (minutoj).
3.5	=La tria (horo) kvin.
10.2	=La deka (horo) du.
11.45	=La dek-unua (horo) kvardek kvin.

In Italy, Belgium, etc., where the hours are numbered from one to twenty-four, this system is equally applicable, as:—4.10 p.m. in Italy = 16.10 = La dek-sesa (horo) dek.