
addieren
to add
To calculate two or more numbers together in order to form their sum. It is one of the basic mathematical operations.
Wenn man fünf und sieben addiert, erhält man zwölf.
If you add five and seven, you get twelve.
to add
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to add
To calculate two or more numbers together in order to form their sum. It is one of the basic mathematical operations.
Wenn man fünf und sieben addiert, erhält man zwölf.
If you add five and seven, you get twelve.

to add
To add or contribute something to something else so that a larger amount or a new whole is created. This use is less common and more figurative.
Zu den bestehenden Problemen addierte sich nun auch noch der Stromausfall.
The power outage now added to the existing problems.
You can recognize the mathematical meaning from the context of numbers and calculations. The figurative meaning usually refers to abstract things like problems or feelings and is often used reflexively ('sich addieren').
Können Sie bitte diese beiden Beträge für mich addieren?
Could you please add these two amounts for me?
In arithmetic, there are two common constructions: You can either connect two numbers with 'und' (and) or add one number 'zu' (to) another.
Wenn du 15 und 25 addierst, was ist das Ergebnis?
If you add 15 and 25, what is the result?
In a mathematical context, 'addieren' (to add) is often used with nouns such as 'Zahlen' (numbers), 'Beträge' (amounts), 'Posten' (items), or 'Kosten' (costs).
Der Kellner addierte alle Posten auf der Rechnung.
The waiter added up all the items on the bill.
In the figurative meaning, 'addieren' (to add) is often used reflexively with 'sich' and the preposition 'zu'. It describes something being added to things that already exist.
Zu meiner Müdigkeit addierte sich starker Kopfschmerz.
A severe headache was added to my tiredness.
to add / supplement
Both ergänzen and addieren can refer to adding something. Ergänzen emphasizes that a missing or useful part is added; the less common, figurative use of addieren focuses more on increasing an amount.

Zu den zehn Seiten des Berichts addiert der Autor noch zwei weitere.
The author adds two more pages to the report’s ten pages.
Die fehlende Grafik ergänzt den Bericht an der richtigen Stelle.
The missing graphic completes the report in the right place.