In mathematics, to replace a number with another, usually simpler number that is close to it. You can round up or down to the nearest whole number, to a specific decimal place, or to multiples of 10, 100, etc.
example
Für die Berechnung runden wir das Ergebnis auf zwei Nachkommastellen.
For the calculation, we round the result to two decimal places.
Usage tips
Word family
The verb 'runden' (to round) is derived from the adjective 'rund' (round). The basic idea of making something 'rund' (round) appears in all meanings: a number (less 'angular'), an edge (physically round), or an experience (harmoniously completed).
EXAMPLE
Der Architekt möchte die Ecken des Gebäudes runden.
The architect wants to round the corners of the building.
Context clues
You can recognize the meaning of 'runden' (to round) from the context. If it is about numbers and calculations, the mathematical meaning is intended. With physical objects like wood or stone, it is about the shape. With abstract things like an evening or meal, it is about a harmonious conclusion.
EXAMPLE
Bitte runden Sie die Zahl auf eine ganze Zahl.
Please round the number to a whole number.
Sentence structure: auf + accusative
In the mathematical meaning, 'runden' (to round) is always used with the preposition 'auf' and the accusative. This indicates the target of the rounding.
EXAMPLE
Wir müssen das Ergebnis auf die zweite Nachkommastelle runden.
We have to round the result to the second decimal place.
Typical collocations
In the abstract meaning, 'runden' (to round off) is often used to describe a positive ending. Typical combinations are 'den Abend runden' (to round off the evening), 'das Erlebnis runden' (to round off the experience), or 'das Gesamtbild runden' (to round off the overall picture).
EXAMPLE
Ein Spaziergang am See rundete den perfekten Tag ab.
A walk by the lake rounded off the perfect day.
Compare with
near_synonym · confusable
runden vs abschließen
to lock / to complete
'abschließen' and 'runden' can both have to do with an ending, but they emphasize different things. 'abschließen' means that an activity, a project, or a phase is truly brought to an end. 'runden' is usually used in this meaning in the phrase that something rounds off an experience or program harmoniously. It often sounds more figurative and fits celebrations, meals, events, or programs. The words can be confused because both can stand at the end of something. 'abschließen' clearly says: it is finished. 'runden' is more like saying: it gets a nice, fitting conclusion.
runden
Ein gemeinsames Abendessen rundet den Ausflug am See ab.
A shared dinner rounds off the outing by the lake.
abschließen
Schließt sie den Bericht noch vor der Besprechung ab?