
die Einheit
unity
The state of cohesion and agreement; the solidarity of a group or country.
Die Mannschaft demonstrierte große Einheit auf dem Spielfeld.
The team demonstrated great unity on the field.
unity / unit
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unity
The state of cohesion and agreement; the solidarity of a group or country.
Die Mannschaft demonstrierte große Einheit auf dem Spielfeld.
The team demonstrated great unity on the field.

unit
A fixed quantity used to measure amounts, such as meters, kilograms, or liters.
Der Zentimeter ist eine kleinere Einheit als der Meter.
The centimeter is a smaller unit than the meter.

unit
A part of a larger organization, especially in the military, police, or administration.
Eine spezielle Einheit der Polizei wurde zum Einsatzort gerufen.
A special police unit was called to the scene.

unit
A self-contained part of a larger whole, for example a lesson in a textbook or an apartment in a residential building.
Das Sprachkursbuch ist in zwölf Einheiten gegliedert.
The language coursebook is divided into twelve units.
The word 'Einheit' (unity/unit) is derived from the number 'ein' (one). The ending '-heit' forms an abstract noun that describes the state of 'being one' or of cohesion.
Die Einheit des Teams war der Schlüssel zum Erfolg.
The unity of the team was the key to success.
The context reveals the meaning: In the political or social sphere, it is about cohesion. In connection with numbers and measurements, such as 'Maßeinheit' (unit of measurement), it means a measuring unit. In a military or organizational context, it is a group, and in textbooks or buildings, a self-contained part.
Die politische Einheit des Landes ist in Gefahr.
The political unity of the country is in danger.
The phrase 'die Deutsche Einheit' (German Unity) is a fixed historical term and refers to the reunification of Germany in 1990. In this context, the word is always capitalized.
Am 3. Oktober wird der Tag der Deutschen Einheit gefeiert.
German Unity Day is celebrated on October 3.
In the meaning 'abgeschlossener Teil' (self-contained part), 'Einheit' (unit) is often used as the base word in compounds. Common examples are 'Lerneinheit' (learning unit), 'Unterrichtseinheit' (teaching unit/lesson unit), or 'Wohneinheit' (residential unit).
Unsere Wohnung ist die größte Wohneinheit in diesem Haus.
Our apartment is the largest residential unit in this building.
piece
Both Stück and Einheit can be used when giving quantities for individual products. Stück is the usual counting word for individual items, while Einheit emphasizes a fixed quantity or method of counting. Use Stück for ordinary shopping and Einheit when the quantity is measured according to a specification.

Für die Bestellung ist ein Karton die festgelegte Einheit.
For the order, a box is the specified unit.
Im Laden kaufte ich drei Stück Seife für das Badezimmer.
I bought three bars of soap for the bathroom at the store.