real / fair
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real
Actually existing, real, or corresponding to the true value. It is often used to emphasize the difference from a merely apparent or nominal value.
Nach Abzug der Inflation beträgt das reelle Wachstum der Wirtschaft nur ein Prozent.
After deducting inflation, the real growth of the economy is only one percent.
fair
Honest, decent, or fair in behavior or business conduct.
Er ist ein reeller Geschäftspartner, dem man vertrauen kann.
He is a fair business partner whom you can trust.
real
In mathematics, a property of numbers that can be represented on the number line and have no imaginary component.
Die Wurzel aus zwei ist eine reelle, aber irrationale Zahl.
The square root of two is a real but irrational number.
Although 'reell' looks like the English word 'real', its use is more limited. It is often used for economic values or fair behavior, but not for people or concrete objects in the sense of 'genuine' or 'real'.
Das ist ein reelles Angebot, du solltest es annehmen.
That is a fair offer; you should accept it.
In the meaning 'tatsächlich' (actual/real), you will almost always find 'reell' in economic contexts. It describes a value after deducting factors such as inflation.
Der reelle Lohn ist das, was man nach Abzug der Inflation wirklich mehr zur Verfügung hat.
The real wage is what you truly have available after deducting inflation.
When 'reell' describes a person or an offer, it means 'fair' or 'honest'. It is often used in business to express trustworthiness.
Der Händler machte uns einen sehr reellen Preis für das gebrauchte Auto.
The dealer gave us a very fair price for the used car.
The meaning of 'reell' as a mathematical term is strictly limited to this field. You can recognize it from words such as 'Zahl' (number), 'Funktion' (function), or 'Lösung' (solution).
Die Gleichung hat keine reelle Lösung.
The equation has no real solution.
indeed / actual
Tatsächlich and reell both refer to something real rather than merely apparent. Tatsächlich confirms that something is really the case or is actually happening; reell refers more to the real value or actual existence of something, as opposed to a merely nominal value. Choose tatsächlich for facts and reell for such values or circumstances.
Der reelle Wert des Fahrrads liegt deutlich über dem Verkaufspreis.
The bicycle's real value is significantly higher than its sale price.
Tatsächlich zahlten wir für das Fahrrad nur 300 Euro.
In fact, we paid only 300 euros for the bicycle.
