
annähernd
approximately
Not exact, but very close to a certain value, amount, or quality; roughly, almost.
Die Reparatur wird annähernd 500 Euro kosten.
The repair will cost approximately 500 euros.
approximate / approximately
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approximately
Not exact, but very close to a certain value, amount, or quality; roughly, almost.
Die Reparatur wird annähernd 500 Euro kosten.
The repair will cost approximately 500 euros.
The word derives from the verb 'sich annähern' (to approach). When something 'annähernd' (approximately) corresponds to a value, it 'nähert sich' (approaches) that value without reaching it exactly.
Die Zahl der Teilnehmenden war annähernd so hoch wie im letzten Jahr.
The number of participants was approximately as high as last year.
'Annähernd' (approximately) is mostly used as an adverb and comes directly before the number, amount, or adjective it describes. In this function, it is not declined.
Wir haben annähernd 100 Bewerbungen erhalten.
We received approximately 100 applications.
'Annähernd' (approximately) belongs more to written language or a more formal style. It is often used in reports, news, or scientific contexts.
Die gemessenen Werte waren annähernd identisch.
The measured values were approximately identical.
about / approximately
Before an estimated number, etwa and annähernd are both possible. Etwa gives the approximate value neutrally, whereas annähernd places more emphasis on the actual value being close to a certain value. Use etwa for an ordinary estimate and annähernd when this closeness is important.

An der Umfrage nahmen annähernd hundert Personen teil.
Approximately one hundred people took part in the survey.
An der Umfrage nahmen etwa hundert Personen teil.
About one hundred people took part in the survey.