calculation
die Berechnung, die Berechnungen
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calculation
The process by which a result or value is determined through mathematical operations; a calculation.
Die genaue Berechnung der Kosten dauert noch einige Tage.
The exact calculation of the costs will still take a few days.
calculation
Behavior that is not based on genuine feelings, but on cold, self-serving calculation and strategic planning.
Ihre angebliche Hilfsbereitschaft war reine Berechnung, um sich einen Vorteil zu verschaffen.
Her supposed helpfulness was pure calculation, meant to gain an advantage for herself.
charging
The act of charging someone for goods or a service.
Die Berechnung zusätzlicher Gebühren ohne Vorwarnung ist unzulässig.
The charging of additional fees without prior warning is not permitted.
| gender | feminine die |
|---|---|
| plural | die Berechnungen |
| genitive | der Berechnung |
| singular | plural | |
|---|---|---|
| nominative | die Berechnung | die Berechnungen |
| accusative | die Berechnung | die Berechnungen |
| dative | der Berechnung | den Berechnungen |
| genitive | der Berechnung | der Berechnungen |
The article changes with the case; it is shown in colour.
'Die Berechnung' (the calculation) is the noun related to the verb 'berechnen' (to calculate). The ending '-ung' turns the action of calculating into a feminine noun.
Er hat die Berechnung noch einmal überprüft.
He checked the calculation again.
The meaning depends strongly on the context. If it is about numbers and formulas, it is a calculation. If it is about human behavior, it often describes a selfish intention. In a business context, it can also mean issuing a charge or invoice.
Die Berechnung des Gewinns war kompliziert.
The calculation of the profit was complicated.
Seine Freundlichkeit war nur kühle Berechnung.
His friendliness was only cold calculation.
In the mathematical sense, 'Berechnung' (calculation) is often used with prepositions such as 'laut' (according to), 'nach' (according to), or 'gemäß' (in accordance with) to refer to the result. Typical verbs are 'anstellen' (to make/carry out) or 'durchführen' (to perform/carry out).
Laut meiner Berechnung sollten wir genug Geld haben.
According to my calculation, we should have enough money.
Der Ingenieur führte eine komplexe Berechnung durch.
The engineer carried out a complex calculation.
In relation to human behavior, 'Berechnung' (calculation) has a strongly negative connotation. It describes an action aimed only at one's own advantage. The phrase 'aus reiner Berechnung' (out of pure calculation) is very typical here.
Er heiratete sie nicht aus Liebe, sondern aus reiner Berechnung.
He married her not out of love, but out of pure calculation.
This meaning is specific to business dealings. It describes the act of charging someone for something. It is often combined with 'von' (of) + type of cost.
Die Berechnung von Versandkosten erfolgt am Ende des Bestellvorgangs.
The charging of shipping costs takes place at the end of the ordering process.
bill / calculation
In a mathematical context, both words can be connected with determining a result. „Die Rechnung“ usually refers to the specific sequence of arithmetic operations or the result, while „die Berechnung“ emphasizes the process of determining it. Use „Rechnung“ for the specific task and „Berechnung“ for the process.
Die Berechnung des Ergebnisses dauerte wegen der vielen Zahlen einige Minuten.
Calculating the result took a few minutes because there were so many numbers.
Die Rechnung 24 geteilt durch 6 ergibt 4.
The calculation 24 divided by 6 equals 4.
