Klingon originally had a ternary number system; that is, one based on three. Counting proceeded as follows: 1, 2, 3; 3+1, 3+2, 3+3; 2*3+1, 2*3+2, 2*3+3; 3*3+1, 3*3+2, 3*3+3; and then it got complicated. In accordance with the more accepted practice, the Klingon Empire sometime back adopted a decimal number system, one based on ten. Though no one knows for sure, it is likely that this change was made more out of concern for understanding the scientific data of other civilizations than out of a spirit of cooperation.

The Klingon numbers are:

1 | wa' |
6 | jav |

2 | cha' |
7 | Soch |

3 | wej |
8 | chorgh |

4 | loS |
9 | Hut |

5 | vagh |
10 | wa'maH |

Higher numbers are formed by adding special number- forming elements to the basic set of numbers (1--9). Thus, **wa'maH** *ten *consists of **wa'** *one *plus the number-forming element for *ten***,** **maH***.* Counting continues as follows:

11 | wa'maH wa' |
(that is, ten and one) |

12 | wa'maH cha' |
(that is, ten and two) |

etc. |

Higher numbers are based on **maH ***ten***,** **vatlh ***hundred***,** and **SaD **or **SanID** *thousand***.** Both **SaD** and **SanID** are equally correct for *thousand***,** and both are used with roughly equal frequency. It is not known why this number alone has two variants.

20 | cha'maH |
(that is, two tens) |

30 | wejmaH |
(that is, three tens) |

etc. | ||

100 | wa'vatlh |
(that is, one hundred) |

200 | cha'vatlh |
(that is, two hundreds) |

etc. | ||

1,000 | wa'SaD or wa'SanID |
(that is, one thousand) |

2,000 | cha'SaD or cha'SanID |
(that is, two thousands) |

etc. |

Numbers are combined as in English:

5,347 **vaghSaD wejvatlh loSmaH Soch** or **vaghSanID wejvatlh loSmaH Soch**

604 **javvatlh loS**

31 **wejmaH wa'**

Some of the number-forming elements for higher numbers are:

ten thousand **netlh**

hundred thousand **bIp**

million **'uy'**

billion **Saghan**

Zero is **pagh***.*

Numbers are used as nouns. As such, they may stand alone as subjects or objects or they may modify another noun.

**mulegh cha'** *Two (of them) see me.*

(**mulegh** *they see me***,** **cha'** *two*)

**wa' yIHoH** *Kill one (of them)!*

(**wa'** *one***,** **yIHoH** *kill him/her!*)

The preceding sentence is grammatically correct even without the **wa' **because the prefix **yI***-* indicates a singular object. The **wa'***,* therefore, is used for emphasis only.

Numbers used as modifiers precede the noun they modify.

**loS puqpu' **or **loS puq** *four children*

**vaghmaH yuQmey** or **vaghmaH yuQ** *fifty planets*

The plural suffixes (**-pu'**,** -mey**) are not necessary when a number is used.

When a number is used for numbering, as opposed to counting, it follows the noun. Compare:

**DuS wa'** *torpedo tube number 1*

**wa' DuS** *one torpedo tube*

Ordinal numbers (*first, second,* etc.) are formed by adding **-DIch** to the numbers.

**wa'DIch** *first*

**cha'DIch** *second*

**HutDIch** *ninth*

Ordinal numbers follow the noun.

**meb cha'DIch** *second guest*

Adding *-***logh** to a number gives the notion of repetitions.

**wa'logh** *once*

**cha'logh** *twice*

**Hutlogh** *nine times*

These numbers function in the sentence as adverbials (section 5.4).

**Fractions**

**wej loch cha'** *2/3 *(*two thirds*)

**vagh loch wej** *3/5 (three fifths)*

** loS loch jav** *6/4 (six quarters)*

In theory, if appropriate in a mathematical discussion, one could say **wa' loch wej** "*three one–ths*". (Though perhaps a little grammatically aberrant, this would not be **wa' luloch wej**.))

**Negative**

Use **Dop **to create negative numbers. **wej Dop** "*minus three*" or "*negative three*". Compare this to **'u' Dop** "*mirror universe*".

**Random**

For random numbers, as when throwing dice, use the verb **'al** "*float*" instead of **Haw ***be random*.

**mI' al'** *(a) random number*

** 'al mI'** *the number is random*

There is also a slang expression **Du'Hom mI'** "*random number*" (literally "*garden number*").)