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German Numbers: Counting in German

Cardinal and Ordinal Numbers, Dates

Kardinalzahlen, Ordinalzahlen,
Daten, Mathematik und Rechnen

Also see:
It's About (German) Time
Date and Time Glossary

MATHE > German Math Terms (Rechnen) (below)

Introduction - Einleitung
For each number, two forms are shown: (1) the cardinal number (Kardinalzahl - 1, 2, 3...) and (2) ordinal number (Ordinalzahl - 1st, 2nd, 3rd...). In some cases the fractional number (Bruchzahl - 1/2, 1/5, 1/100...) is also given. (To make fractions [Brüche], just add -tel or -el to the number: acht + el = achtel [an eighth], zehn + tel = zehntel [a tenth].) Although the masculine (calendar date) form is shown for the ordinal numbers, they can also be feminine (die), neuter (das) or plural, depending on the noun they are used with: das erste Auto (the first car), die zweite Tür (the second door), die ersten Menschen (the first humans), etc.

When referring to individual numbers in German, you say "die zwei" (2) or "die einundzwanzig" (21), short for "die Nummer/Zahl..." An example would be naming the winning numbers for the lottery on television.

Hören Sie zu! Listen to the Numbers in German!


0   null (zero, nought)

For decimal numbers (Dezimalzahlen), German uses a comma (das Komma) where English uses a decimal point: 0.638 (English) = 0,638 (spoken: "null Komma sechs drei acht") or 1.08 (English) = 1,08 (spoken: "eins Komma null acht").

German expression: “in null Komma nichts” (“in 0,0”) = in an instant, in a flash

1   eins - der erste, der 1. (first)

one o'clock   ein Uhr (time, no ending on 'ein')
one/a clock   eine Uhr (article, -e ending on 'ein')
(date) on the first   am ersten
on 1 May, on May first, the first of May   am ersten Mai, am 1. Mai

2   zwei - der zweite, der 2. (second) - halb, die Hälfte (half, one-half)

Often the alternative form zwo is used to avoid confusion with drei.

3   drei - der dritte, der 3. (third) - drittel (one-third)

4   vier - der vierte (fourth) - viertel-, das Viertel (one-fourth, quarter)

5   fünf - der fünfte (fifth)

6   sechs - der sechste (sixth)

7   sieben - der siebte (seventh)

8   acht - der achte (eighth)

9   neun - der neunte (ninth)


10   zehn - der zehnte, der 10. (tenth)

11   elf - der elfte, der 11. (eleventh)

12   zwölf - der zwölfte, der 12. (twelfth)

13   dreizehn - der dreizehnte (thirteenth), am dreizehnten

14   vierzehn - der vierzehnte (fourteenth) - am vierzehnten

15   fünfzehn - der fünfzehnte (fifteenth) - am fünfzehnten

16   sechzehn - der sechzehnte (the sixteenth)

17   siebzehn - der siebzehnte (seventeenth)

18   achtzehn - der achtzehnte (the eighteenth)

19   neunzehn - der neunzehnte (nineteenth)

Hören Sie zu! Listen to the Numbers 0-20 in German!


20   zwanzig - der zwanzigste, der 20. (the twentieth, 20th) - am zwanzigsten (Juni), am 20. (Juni) (on the 20th of June)

To say "in the twenties (the '20s)" - short for "the 1920s" - in German you say "in den zwangziger Jahren." The same method is used for all the other decades ('30s, '40s, etc.) except for the 1900s and the teens.

21   einundzwanzig - der einundzwanzigste, der 21. (the twenty-first, 21st) - am einundzwanzigsten (Juni), am 21. (Juni) (on the 21st of June)

22   zweiundzwanzig - der zweiundzwanzigste, der 22. (the twenty-second, 22nd)

23   dreiundzwanzig - der dreiundzwanzigste, der 23. (the twenty-third, 23rd)

24   vierundzwanzig - der vierundzwanzigste, der 24. (the twenty-fourth, 24th)

25   fünfundzwanzig - der fünfundzwanzigste, der 25. (the twenty-fifth, 25th)

26   sechsundzwanzig - der sechsundzwanzigste, der 26. (the twenty-sixth, 26th)

27   siebenundzwanzig - der siebenundzwanzigste, der 27. (the twenty-seventh, 27th)

28   achtundzwanzig - der achtundzwanzigste, der 28. (the twenty-eighth, 28th)

29   neunundzwanzig - der neunfundzwanzigste, der 29. (the twenty-ninth, 29th)


30   dreißig - der dreißigste, der 30. (the thirtieth, 30th)

Note that, unlike the other tens (20, 40, 50, etc.), dreißig has no 'z' in its spelling.

31   einunddreißig - der einunddreißigste, der 31. (the thirty-first, 31st)

32   zweiunddreißig - der zweiunddreißigste, der 32. (the thirty-second, 32nd)

33   dreiunddreißig - der dreiunddreißigste, der 33. (the thirty-third, 33rd)

(Continues as with the 20s)


40   vierzig - der vierzigste, der 40. (the fortieth, 40th)

41   einundvierzig - der einundvierzigste, der 41. (the forty-first, 41st)

42   zweiundvierzig - der zweiundvierzigste, der 42. (the forty-second, 42nd)

43   dreiundvierzig - der dreiundvierzigste, der 43. (the forty-third, 43rd)

(Continues as with the previous 20s, 30s, etc.)

See '50' and more numbers below.

German Math Terms - Mathematische Ausdrücke

add   addieren

algebra   e Algebra

calculus   s Differentialrechnen, s Integralrechnen

divide   dividieren

divided by   durch
   ten divided by two   zehn durch zwei (10/2)

equals   ist, gleich
  Five and / plus six equals / is eleven.  Fünf und sechs ist elf.

equation (math)   e Gleichung, e Gleichungsformel

formula (math)   e Formel

geometry   e Geometrie

minus, less   minus (MEE-noos), weniger (VENN-eh-guhr)

multiply   multiplizieren

plus, and   plus (ploos), und (oont)
   two and/plus two   zwei und/plus zwei

subtract   subtrahieren

times (2x3=6)   mal (2 mal 3 = 6)
   once, one time   einmal (EYNE-mahl)
   five times   fünfmal

trigonometry   e Trigonometrie

Hören Sie zu! Listen to the Numbers in German!


50   fünfzig - der fünfzigste, der 50. (the fiftieth, 50th)

51   einundfünfzig - der einundfünfzigste, der 51. (the fifty-first, 51st)

52   zweiundfünfzig - der zweiundfünfzigste, der 52. (the fifty-second, 52nd)

53   dreiundfünfzig - der dreiundfünfzigste, der 53. (the fifty-third, 53rd)

(54, 55... continues as with the previous 30s, 40s, etc.)

NEXT > Numbers - Part 2 (60-1000s and higher)

Related Pages

Numbers - Part 2
More German numbers—up into the thousands and beyond.

Listen to the Numbers in German
Audio in our German language lab.

It's About (German) Time
An article about dates and telling time in German.

Date and Time Glossary
An English-German glossary related to the calendar and the clock.

Wort des Tages
Get a daily dose of German vocabulary and increase your vocabulary - for beginning or advanced learners.

The Good Wishes Glossary
A German-English lexicon of congratulations and best wishes for many occasions, including das Neujahr.

More Glossaries
English-German glossaries on a variety of topics.

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