arithmetic
das Rechnen
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arithmetic
Performing arithmetic operations with numbers, such as adding, subtracting, multiplying, or dividing; also understood as a school subject or a skill.
In der Grundschule lernen die Kinder Lesen, Schreiben und Rechnen.
In elementary school, children learn reading, writing, and arithmetic.
| gender | neuter das |
|---|---|
| genitive | des Rechnens |
| singular | plural | |
|---|---|---|
| nominative | das Rechnen | – |
| accusative | das Rechnen | – |
| dative | dem Rechnen | – |
| genitive | des Rechnens | – |
The article changes with the case; it is shown in colour.
'Das Rechnen' (arithmetic) is the nominalized infinitive of the verb 'rechnen' (to calculate). It therefore refers to an activity or process and often appears as the subject or after prepositions such as 'beim' (when doing) or 'nach' (after) in a sentence.
Beim Rechnen mit großen Zahlen hilft ein Taschenrechner.
When doing arithmetic with large numbers, a calculator is helpful.
Nach dem Rechnen kontrolliert die Schülerin ihre Ergebnisse.
After doing the calculations, the student checks her answers.
Common collocations include 'Kopfrechnen' (mental arithmetic), 'schriftliches Rechnen' (written arithmetic), and 'Rechnen mit Brüchen' (arithmetic with fractions). After 'Rechnen mit', the thing being calculated with is in the dative case.
Das Rechnen mit Brüchen ist für viele Schüler zunächst schwierig.
Doing arithmetic with fractions is initially difficult for many students.
In 'das Rechnen fällt jemandem leicht oder schwer' (arithmetic is easy or difficult for someone), the person is in the dative case. This construction describes how well someone has mastered this skill.
Meinem Bruder fällt das Rechnen mit Dezimalzahlen leicht.
My brother finds arithmetic with decimals easy.
