
der Orden
medal
An award given by the state or by an organization for special achievements or service.
Für ihr soziales Engagement erhielt sie einen hohen Orden.
She received a high medal for her social commitment.
medal / order
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medal
An award given by the state or by an organization for special achievements or service.
Für ihr soziales Engagement erhielt sie einen hohen Orden.
She received a high medal for her social commitment.

order
A religious community whose members live according to shared rules, for example monks or nuns.
Er beschloss, einem buddhistischen Orden beizutreten.
He decided to join a Buddhist order.

order
A historical community of knights with shared goals and rules.
Die Tempelritter waren ein mächtiger Orden im Mittelalter.
The Knights Templar were a powerful order in the Middle Ages.
The meaning of 'Orden' becomes clear from the verbs and the context. If an 'Orden' is 'verliehen' (awarded), it is an award. If you 'beitreten' (join) an 'Orden', it is a community. If it is about 'Ritter' (knights) and the 'Mittelalter' (Middle Ages), it means a historical community.
Dem Wissenschaftler wurde ein Orden für seine Forschung verliehen.
The scientist was awarded a medal for his research.
When 'Orden' means an award, it is typically 'verliehen' (awarded), 'vergeben' (given out), 'bekommen' (received), or 'erhalten' (received). You can also 'tragen' (wear) a medal on your clothing.
Der Präsident hat dem Feuerwehrmann einen Orden für seine Tapferkeit verliehen.
The president awarded the firefighter a medal for his bravery.
When 'Orden' means a religious community, typical verbs are 'beitreten' (to join), 'eintreten' (to enter/join), or 'angehören' (to belong to).
Mit 20 Jahren ist er in einen Franziskanerorden eingetreten.
At the age of 20, he joined a Franciscan order.
monastery
Kloster and Orden can both refer to a religious community. Kloster tends to mean the specific building or the community living there, whereas Orden refers to the religious community as such, organized according to rules. Use Kloster for the specific place and Orden for the community with its shared rules.

Sie trat dem Orden bei, dessen Mitglieder nach gemeinsamen Regeln leben.
She joined the order, whose members live according to shared rules.
Die Nonnen des Klosters treffen sich jeden Morgen im Innenhof.
The nuns from the monastery meet in the courtyard every morning.