# Numbers

Numerals and mathematical operations are particles.

## Cardinal Numbers

The number system in High Lulani uses balanced sesquidecimal (base 15), and so numbers are written with the positive digits (1, 2, 3, 4, 5, 6 and 7), their negative counterparts (

### One-digit Numbers

Here are the names for the one-digit numbers:

qihha | 0 | |

xita | 1 | |

ra | 2 | |

kifi | 3 | |

nuru | 4 | |

guhi | 5 | |

’usi | 6 | |

salumi | 7 |

qihha | 0 | |

mullu | ||

kannu | ||

bila | ||

missu | ||

laffi | ||

jusiti | ||

haki |

The full form qihha *zero* is only used when by itself, or first in a number or noun phrase. Otherwise, the clipped form -hha *ten* is used.

### Two-digit Numbers

Numbers between 1*12*.

Round numbers, *i.e.:* numbers ending with a single zero, use the suffix -hha

All other two digit numbers, except for *22*, are formed by juxtaposing the tens digit with the units.

The word for *22*, the exception, is ranira

### Three- and Four-digit Numbers

Three- and four-digit numbers are divided into the number of hundreds, and the remainder. This remainder is always the last two digits of the number.

The word for *100* is takki

In any of these cases, if the remainder is zero, it is left off.

### Higher and Lower Order Numbers

When a number is written out in digits, each set of four digits from the fractional point makes up a group. The group furthest from the fractional point may not have this full quota of digits. An index marker notes the identity of a particular group.

The index marker is composed of the prefix pa-

The index marker is suffixed to the group word.

paxita *1,0000*

para *1,0000,0000*

pakifi *1,0000,0000,0000*

pamullu *0.0001*

samissu paxita *1 4,0000*

There is nothing preventing an index-marked number being used within another index marker, although the second pa- is usually geminated.

**pappaxita** *1,0000 ^{1,0000}*

**papappaxita** *1,0000 ^{1,0000^1,0000}*

### Non-integral Numbers

#### Reading Mantissas

There are two ways to read a mantissa. One uses the above method of index markers, and the second reads out the digits in pairs or individually. These methods are often combined: using index markers for the first digit groups, and then continuing to read digits separately.

#### Repeating and Reflecting Strings

All rational numbers end with a repeating string of digits. For some numbers, this string is “0”. In non-zero cases, the word tuni *repeat* is inserted before the repeating string. The string must be read out with individual digits.

There are also numbers for which the repeating string can be cut in half, with digits in the second half being the negative of the digits in the first half. For these, only the first half is read out, with the word mala *reflect* inserted.

paqihha xita tuni guhira *0.15252…*

paqihha xita mala guhira *0.152 525252…*

#### Fractions

The suffix -ki *½*: ’ima

### Other Numbers

Other numbers include:

fixi *the circle constant* τ

du’ami *the imaginary number* i

’u *the base *e *of the natural logarithm*

## Ordinal Numbers

Ordinal numbers are used to mark position in a line or a list.

The first two ordinal numbers are suppletive, that is, they are not related to their cardinals. All other ordinals are formed by adding the suffix -uju

bijju *1 ^{st}*

matta *2 ^{nd}*

**kifuju** *3 ^{rd}*

**nuruju** *4 ^{th}*

**salumuju** *7 ^{th}*

**saqikkuju** *10 ^{th}*

**saxituju** *11 ^{th}*

**takkuju** *100 ^{th}*

## Using Numbers

Ordinal and cardinal numbers are used in noun phrases, and are inserted between any case markers or adpositions, and the noun.

Numbers can be suffixed to a noun to denote not the quantity, but a quality.

The number ra *two* can be used in this way to refer to a pair of something.