to calculate / charge
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to calculate
To determine a number, quantity, or result through a mathematical operation; to work something out or calculate it.
Können Sie bitte berechnen, wie hoch die Gesamtkosten sein werden?
Could you please calculate how high the total costs will be?
to charge
To ask for and invoice a certain amount of money for goods or a service.
Das Hotel wird Ihnen für das zusätzliche Frühstück 15 Euro berechnen.
The hotel will charge you 15 euros for the additional breakfast.
to calculate
To coolly and rationally weigh actions and their consequences in advance, often with the aim of gaining one's own advantage. Usually has a negative connotation.
Er ist ein Mensch, der jeden seiner Schritte genau berechnet und nichts dem Zufall überlässt.
He is a person who calculates every one of his steps carefully and leaves nothing to chance.
The prefix 'be-' is inseparable. It stays firmly attached to the verb stem 'rechnen' (to calculate) in all conjugations and sentence types.
Er berechnete schnell, wie viel Trinkgeld er geben sollte.
He quickly calculated how much tip he should give.
The base verb is 'rechnen' (to calculate). Through the prefix 'be-', the verb becomes transitive, so it always needs a direct accusative object. You always calculate *something*.
Ich muss noch die genaue Entfernung für unsere Wanderung berechnen.
I still need to calculate the exact distance for our hike.
Whether 'berechnen' means 'to calculate' or 'to charge' can be recognized from the context. If it is about mathematics or planning, it means 'to calculate'. If it is about money, invoices, or services, it means 'to charge'.
Der Architekt berechnet die Statik des Hauses.
The architect calculates the structural stability of the house.
When 'berechnen' means 'to charge', it is often used with a dative object (the person who has to pay) and an accusative object (the amount or goods). The structure is: jemandem (dative) etwas (accusative) berechnen.
Der Handwerker hat mir 100 Euro für die Anfahrt berechnet.
The tradesman charged me 100 euros for the travel costs.
When the verb describes a person's behavior, it has a negative meaning. It means that someone acts coolly and strategically in order to gain their own advantages.
Sie ist eine Person, die ihre Freundschaften nur nach dem Nutzen berechnet.
She is a person who calculates her friendships only according to their usefulness.
to calculate / to expect
Both words refer to mathematical activities, but their emphasis is different. Rechnen generally means solving problems or working with numbers; berechnen focuses more on a specific quantity or a concrete result. Use „berechnen“ when exactly this value is to be determined.
Die Schüler berechneten anschließend die genaue Länge der Strecke.
The students then calculated the exact length of the route.
Die Schüler rechneten im Mathematikunterricht verschiedene Aufgaben mit Brüchen.
The students calculated various problems involving fractions in math class.
