
die Münze
coin
A flat, usually round piece of metal that has been minted as official means of payment.
Ich habe keine passende Münze für den Parkautomaten.
I don't have the right coin for the parking meter.
coin / mint
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coin
A flat, usually round piece of metal that has been minted as official means of payment.
Ich habe keine passende Münze für den Parkautomaten.
I don't have the right coin for the parking meter.

commemorative coin
A medal or commemorative metal piece that is issued in memory of an event or awarded as a distinction.
Zur Feier des Stadtjubiläums wurde eine spezielle Münze herausgegeben.
A special commemorative coin was issued to celebrate the city's anniversary.

mint
A state institution where coins are produced and minted; a coin minting facility.
Die neuen Euro-Gedenkstücke werden in der staatlichen Münze in Hamburg geprägt.
The new euro commemorative pieces are minted at the state mint in Hamburg.
The idiom 'etwas für bare Münze nehmen' means to believe something immediately without questioning it. 'Bar' here means 'genuine' or 'pure'.
Das war nur ein Scherz, du solltest nicht alles für bare Münze nehmen.
That was just a joke; you shouldn't take everything at face value.
In everyday use as a means of payment, 'Münze' (coin) is often used with verbs such as 'einwerfen' (to insert, into a machine), 'sammeln' (to collect), or 'wechseln' (to change/exchange).
Ich muss noch Geld wechseln, um eine passende Münze für den Einkaufswagen zu haben.
I still need to change some money so I have the right coin for the shopping cart.
When referring to a medal or collector's item, 'Münze' (coin) is often combined with words like 'Gedenk-' (commemorative), 'Sonder-' (special), or 'Jubiläums-' (anniversary). Verbs like 'prägen' (to mint) or 'herausgeben' (to issue) also point to this meaning.
Zum 200. Geburtstag des Dichters wurde eine Gedenkmünze geprägt.
A commemorative coin was minted for the poet's 200th birthday.
In the rare meaning of the minting facility, 'Münze' (mint) almost always appears with the preposition 'in' and often with a place name. It then refers to the building where money is produced.
Diese seltene Münze wurde in der Münze Berlin hergestellt.
This rare coin was produced at the Berlin Mint.
medal
A coin and a medal can both be made of metal and commemorate a special event. A coin is more likely to recall the form and tradition of money, while a medal is intended as a commemorative or honorary item. Use „Medaille“ especially for an award that is presented to someone.

Zum Jubiläum wurde eine Gedenkmünze mit dem Bild des Gründers geprägt.
A commemorative coin bearing the founder’s image was minted for the anniversary.
Zum Jubiläum erhielt die langjährige Mitarbeiterin eine Medaille als Auszeichnung.
The long-serving employee received a medal as an award for the anniversary.