Counting and Calculating in German from 0 to 1,000

Cardinal and Ordinal Numbers, Dates, and Arithmetic Terms

Woman counting
PeopleImages / Getty Images

For each number below, 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.

The Numbers from One (1) to Ten (10)

  • 0   null (zero, nought)
  • 1   eins - der ersteder 1. (first). One o'clock is ein Uhr (time, no ending on 'ein') but one clock or a clock is eine Uhr (article, -e ending on 'ein'). Date: on the first is am ersten; on 1 May, on May first, the first of May is am ersten Mai or am 1. Mai
  • 2   zwei - der zweiteder 2. (second) - halb, die Hälfte (half, one-half)

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

  • 3   drei - der dritteder 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)

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").

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

10

  • 10   zehn - der zehnteder 10. (tenth)
  • 11   elf - der elfteder 11. (eleventh)
  • 12   zwölf - der zwölfteder 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)

20

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.

  • 20   zwanzig - der zwanzigsteder 20. (the twentieth, 20th) - am zwanzigsten (Juni)am 20. (Juni) (on the 20th of June)
  • 21   einundzwanzig - der einundzwanzigsteder 21. (the twenty-first, 21st) - am einundzwanzigsten (Juni)am 21. (Juni) (on the 21st of June)
  • 22   zweiundzwanzig - der zweiundzwanzigsteder 22. (the twenty-second, 22nd)
  • 23   dreiundzwanzig - der dreiundzwanzigsteder 23. (the twenty-third, 23rd)
  • 24   vierundzwanzig - der vierundzwanzigsteder 24. (the twenty-fourth, 24th)
  • 25   fünfundzwanzig - der fünfundzwanzigsteder 25. (the twenty-fifth, 25th)
  • 26   sechsundzwanzig - der sechsundzwanzigsteder 26. (the twenty-sixth, 26th)
  • 27   siebenundzwanzig - der siebenundzwanzigsteder 27. (the twenty-seventh, 27th)
  • 28   achtundzwanzig - der achtundzwanzigsteder 28. (the twenty-eighth, 28th)
  • 29   neunundzwanzig - der neunfundzwanzigsteder 29. (the twenty-ninth, 29th)

30

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

  • 30   dreißig - der dreißigsteder 30. (the thirtieth, 30th)
  • 31   einunddreißig - der einunddreißigsteder 31. (the thirty-first, 31st)
  • 32   zweiunddreißig - der zweiunddreißigsteder 32. (the thirty-second, 32nd)
  • 33   dreiunddreißig - der dreiunddreißigsteder 33. (the thirty-third, 33rd)

(Continues as with the 20s)

40

  • 40   vierzig - der vierzigsteder 40. (the fortieth, 40th)
  • 41   einundvierzig - der einundvierzigsteder 41. (the forty-first, 41st)
  • 42   zweiundvierzig - der zweiundvierzigsteder 42. (the forty-second, 42nd)
  • 43   dreiundvierzig - der dreiundvierzigsteder 43. (the forty-third, 43rd)

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

50

  • 50   fünfzig - der fünfzigsteder 50. (the fiftieth, 50th)
  • 51   einundfünfzig - der einundfünfzigsteder 51. (the fifty-first, 51st)
  • 52   zweiundfünfzig - der zweiundfünfzigsteder 52. (the fifty-second, 52nd)
  • 53   dreiundfünfzig - der dreiundfünfzigsteder 53. (the fifty-third, 53rd)

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

60

  • 60   sechzig - der sechzigsteder 60. (the sixtieth, 60th)
  • 61   einundsechzig - der einundsechzigsteder 61. (the sixty-first, 61st)
  • 62   zweiundsechzig - der zweiundsechzigsteder 62. (the sixty-second, 62nd)
  • 63   dreiundsechzig - der dreiundsechzigsteder 63. (the sixty-third, 63rd)

(Continues as with the previous 40s, 50s, etc.)

70

  • 70   siebzig - der siebzigsteder 70. (the seventieth, 70th)
  • 71   einundsiebzig - der einundsiebzigsteder 71. (the seventy-first, 71st)
  • 72   zweiundsiebzig - der zweiundsiebzigsteder 72. (the seventy-second, 72nd)
  • 73   dreiundsiebzig - der dreiundsiebzigsteder 73. (the seventy-third, 73rd)

(Continues as with the previous 50s, 60s, etc.)

80

  • 80   achtzig - der achtzigsteder 80. (the eightieth, 80th)
  • 81   einundachtzig - der einundachtzigsteder 81. (the eighty-first, 81st)
  • 82   zweiundachtzig - der zweiundachtzigsteder 82. (the eighty-second, 82nd)
  • 83   dreiundachtzig - der dreiundachtzigsteder 83. (the eighty-third, 83rd)

    (Continues as with the previous 60s, 70s, etc.)

    90

    • 90   neunzig - der neunzigsteder 90. (the ninetieth, 90th)
    • 91   einundneunzig - der einundneunzigsteder 91. (the ninety-first, 91st)
    • 92   zweiundneunzig - der zweiundneunzigsteder 92. (the ninety-second, 92nd)
    • 93   dreiundneunzig - der dreiundneunzigsteder 93. (the ninety-third, 93rd)

    (Continues as with the previous 70s, 80s, etc.)

    100

    • 100   hundert or einhundert - der hundertsteder 100. (the hundredth, 100th) - (ein) hundertstel (1/100th)
    • 101   hunderteins - der hundertersteder 101. (the hundred-and-first, 101st)
    • 102   hundertzwei - der hundertzweiteder 102. (the hundred-and-second, 102nd)
    • 103   hundertdrei - der hundertdritteder 103. (the hundred-and-third, 103rd)

    (Continues in the same way.)

    200

    • 200   zweihundert - der zweihundertsteder 200. (the two-hundredth, 100th)
    • 201   zweihunderteins - der zweihundertersteder 201. (the two-hundred-and-first, 201st)
    • 202   zweihundertzwei - der zweihundertzweiteder 202. (the two-hundred-and-second, 202nd)
    • 203   zweihundertdrei - der zweihundertdritteder 203. (the two-hundred-and-third, 203rd)

    (The rest of the hundreds continues in the same way.)

    900

    • 900   neunhundert - der neunhundertsteder 900. (the nine-hundredth, 900th)
    • 901   neunhunderteins - der neunhundertersteder 901. (the nine-hundred-and-first, 901st)
    • 902-997 continue in the same way
    • 998   neunhundertachtundneunzig - der neunhundertachtundneunzigsteder 998. (the nine-hundred-ninety-eighth, 998th)
    • 999   neunhundertneunundneunzig - der neunhundertneunundneunzigsteder 999. (the nine-hundred-ninety-nineth, 999th)

      1000

      In German 1000/1,000 is written/printed as either 1000, 1.000 or 1 000, using a decimal point (Punkt) or a space where English uses a comma. This also applies to all German numbers above 1,000. For decimal numbers, German uses a comma (das Komma) where English uses a decimal point: 1.638 (English) = 1,638 (spoken: "eins Komma sechs drei acht").

      Fun Fact: "1001 Arabian Nights" becomes "Tausendundeine (arabische) Nacht," but it's "1001 Nächte" ("tausendeine Nächte") otherwise.
      • 1000   tausend or eintausend (1000/1 000/1.000) - der tausendsteder 1000. (the [one-]thousandth, 1000th) - tausendstel (1/1000th)
      • 1001   tausendeins - der tausendersteder 1001. (the thousand-first, 1001st)
      • 1002   tausendzwei - der tausendzweiteder 1002. (the thousand-first, 1002nd)

      (The rest of the thousands continue in the same way.)

      Talking About Years (Jahre)

      For the years 1100 to 1999 in German, you must say the hundert, as for 1152 (elfhundertzweiundfünfzig) or 1864 (achtzehnhundertvierundsechzig).

      • 1100   elfhundert (year, number) or tausendeinhundert (number only)
      • 1200   zwölfhundert (year, number) or tausendzweihundert (number only)
      • 1800   achtzehnhundert (year, number)
      • 1900   neunzehnhundert (year, number)
      • 2000   zweitausend (year, number; more below)

      im Jahre: "Im Jahre 1350..." ("dreizehnhundertfünfzig" - "In the year 1350...") If the word "Jahr" is left out, then the year is used by itself, with no "im" (in the) or "in."

      Example:

      1. He was born in 1958. | Er ist im Jahre 1958 geboren. or Er ist 1958 geboren.
      2. Kolumbus hat 1492 Amerika entdeckt. | Columbus discovered America in 1492 ("vierzehnhundertzweiundneunzig")
      AD, BC, BCE/CE: To convey the Christian calendar's use of AD (anno domini, "year of our Lord") and BC (before Christ), German uses n.Chr. (nach Christus, AD) and v.Chr. (vor Christus, BC). BCE/CE (Before the/Common Era) was used mostly in East Germany: v.u.Z.(vor unserer Zeitrechnung, BCE/BC) and u.Z. (unserer Zeitrechnung, CE/AD).

      2000

      "In the year 2001" can be spoken/written in German as "im Jahre 2001" or "im Jahr 2001" ("zweitausendeins"). If the word "Jahr" is left out, then the year is used by itself, with no "im" (in the) or "in." Example: "He was born in (the year) 2001." = "Er ist im Jahre 2001 geboren." or "Er ist 2001 geboren."

      • 2000   zweitausend - der zweitausendsteder 2000. (the two-thousandth, 2000th)
      • 2001   zweitausendeins - der zweitausendersteder 2001. (the two-thousand-first, 2001st)
      • 2002   zweitausendzwei - der zweitausendzweiteder 2002. (the two-thousand-first, 2002nd)
      • 2004   zweitausendvier - der zweitausendvierteder 2004. (the two-thousand-fourth, 2004th)

      The rest of the thousands continue in the same way up to...

      • 9999   neuntausendneunhundertneunundneunzig (9.999/9 999)

      10,000 and Up

      • 10,000   zehntausend (10.000/10 000) - der zehntausendsteder 10.000. (the ten-thousandth, 10,000th)
      • 20,000   zwanzigtausend (20.000/20 000) - der zwanzigtausendsteder 20.000. (the twenty-thousandth, 20,000th)
      • 100,000   hunderttausend (100.000/100 000) - der hunderttausendsteder 100.000.(the hundred-thousandth, 100,000th)
      • 1,000,000 (one million)   (eine) Million (1.000.000) - der millionsteder 1.000.000. (the millionth)
      • 2,000,000 (2 million)   zwei Millionen (2.000.000) - der zweimillionsteder 2.000.000.(the two-millionth)
      • billion   eine Milliarde - der milliardste (the billionth)
      • trillion   eine Billion - der billionste (the trillionth)
      Tip: In German one million is eine Million, but two million is zwei Millionen ("two millions"). An American billion is a German Milliarde. A German Billion is an American "trillion."

      German Math Terms (Mathematische Ausdrücke)

      GermanEnglish
      addierenadd
      die Algebraalgebra   

      das Differentialrechnen,

      das Integralrechnen

      calculus 
      dividierendivide

      durch

      zehn durch zwei (10/2)

      divided by  

      ten divided by two   

       ist, gleich

      Fünf und sechs ist elf.

      equals  

      Five and / plus six equals / is eleven. 

      die Gleichung, e Gleichungsformelequation (math)   
      die Formelformula (math)  
      die Geometriegeometry  
      minus, wenigerminus, less
      multiplizierenmultiply  

      plus, und

      zwei und/plus zwei

      plus, and

      two and/plus two   

      subtrahierensubtract   
      die Trigonometrietrigonometry