to calculate
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to calculate
To determine a result through arithmetic or calculation.
Kannst du mir schnell ausrechnen, wie viel wir für die Tickets bezahlen müssen?
Can you quickly calculate for me how much we have to pay for the tickets?
'Ausrechnen' (to calculate) is a separable verb. In a main clause, the prefix 'aus' moves to the end. In a subordinate clause or infinitive with 'zu', the verb stays together.
Er rechnet die Gesamtkosten für die Reise aus.
He calculates the total cost of the trip.
The two meanings are easy to distinguish: the reflexive form 'sich etwas ausrechnen' always means to assess one's chances. Without 'sich', it refers to a mathematical calculation.
Ich rechne mir gute Chancen für den Job aus.
I reckon I have a good chance of getting the job.
When calculating, 'ausrechnen' (to calculate) can either take an accusative object or be used with a subordinate clause, often with 'wie viel' (how much), 'was' (what), or 'ob' (whether).
Ich rechne schnell den Rabatt aus.
I'll quickly calculate the discount.
When assessing one's chances, you use the reflexive structure 'sich (dative) etwas (accusative) ausrechnen'. The reflexive pronoun in the dative is crucial here.
Die Mannschaft rechnet sich gute Chancen auf den Sieg aus.
The team reckons it has a good chance of winning.
to calculate / to expect
'rechnen' and 'ausrechnen' can both mean that you are working with numbers. 'rechnen' describes the activity in general: you do math or think with numbers. 'ausrechnen' emphasizes the result: in the end, you know a specific number or solution. You can also use 'sich etwas ausrechnen' when you assess your chances. Learners can easily confuse the words because both fit when solving a problem. If the process is important, 'rechnen' fits. If the result is important, 'ausrechnen' fits better.
Vor dem Einkauf rechnet Lisa aus, wie viel Geld sie braucht.
Before shopping, Lisa calculates how much money she needs.
Er rechnet langsam, damit er keinen Fehler macht.
He calculates slowly so that he does not make a mistake.