individual / single
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individual
Describes a person or thing that is considered on its own or is separate from others. It is often used to emphasize that every single element of a group is meant.
Jeder einzelne Mitarbeiter muss an der Schulung teilnehmen.
Every individual employee must take part in the training.
The word 'einzel' comes from the number 'eins' (one). It always emphasizes the idea that something is considered as one unit or separately from others.
Können wir diese Frage bitte einzeln besprechen?
Can we please discuss this question individually?
'Einzel' is declined as an adjective before a noun ('einzelne Probleme' — individual problems) or used unchanged as an adverb ('Probleme einzeln lösen' — solve problems individually). The adverb describes how an action is carried out: one after another, not as a group.
Es gibt noch einzelne offene Punkte auf der Liste.
There are still individual open points on the list.
In the combination 'jeder einzelne' (every single one), the meaning is strengthened. It emphasizes that all elements of a group without exception are meant.
Jeder einzelne Stein wurde von Hand poliert.
Every single stone was polished by hand.
In the meaning 'vereinzelt' (isolated/scattered), the word is often used to describe a small, irregular number. Typical combinations are 'einzelne Fälle' (isolated cases), 'einzelne Stimmen' (a few isolated voices), or, in weather reports, 'einzelne Schauer' (isolated showers).
Es gab nur einzelne Proteste gegen die neue Regel.
There were only isolated protests against the new rule.
together
'zusammen' and 'einzel' form a clear contrast here. 'zusammen' means that people or things are considered together or act as a group. 'einzel', or more commonly 'einzeln', emphasizes that each person or thing is considered on its own. So you say 'zusammen' when something happens jointly or is important as a total amount. 'einzeln' fits when you separate the parts or mean each part separately.
Die einzelnen Aufgaben waren leicht, aber der ganze Test war lang.
The individual tasks were easy, but the whole test was long.
Vor der Prüfung lernen sie zusammen in der Bibliothek.
Before the exam, they study together in the library.