die Fünfziger
the fifties
The decade from 1950 to 1959.
In den Fünfzigern erlebte Deutschland das Wirtschaftswunder.
In the fifties, Germany experienced the economic miracle.

fifties / fifty
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the fifties
The decade from 1950 to 1959.
In den Fünfzigern erlebte Deutschland das Wirtschaftswunder.
In the fifties, Germany experienced the economic miracle.

The word is formed from the number 'fünfzig' (fifty) with the ending '-er'. This pattern is very productive and also works for other numbers, e.g. 'die Zwanziger' (the twenties / 1920s) or 'ein Zwanziger' (a 20-euro note).
Die Mode der Siebziger ist heute wieder populär.
The fashion of the seventies is popular again today.
Articles and number help distinguish the meanings. 'Die Fünfziger' in the plural means the decade. 'Der/die Fünfziger/in' in the singular refers to a person. 'Der Fünfziger' in the context of money means the banknote.
Meine Großeltern haben in den Fünfzigern geheiratet.
My grandparents got married in the fifties.
When 'die Fünfziger' describes a decade, it almost always appears in the plural with the definite article. Common phrases are 'in den Fünfzigern' (in the fifties) or 'Anfang/Mitte/Ende der Fünfziger' (at the beginning/middle/end of the fifties).
Ende der Fünfziger Jahre reisten meine Eltern zum ersten Mal nach Italien.
At the end of the fifties, my parents traveled to Italy for the first time.
To describe a person's age, you can say 'Er ist Fünfziger' (He is in his fifties). The plural phrasing 'Er ist in den Fünfzigern' (He is in his fifties) is also very common.
Sie ist eine attraktive Fünfzigerin.
She is an attractive woman in her fifties.
The term 'ein Fünfziger' for a 50-euro note is colloquial. It is used when shopping or when talking about money.
Ich habe nur noch einen Fünfziger im Portemonnaie.
I only have a fifty left in my wallet.
fifty
'fünfzig' and 'Fünfziger' look similar and both have to do with the number 50. 'fünfzig' is the normal number: you use it for counting or for quantities, ages, and prices. 'Fünfziger' is a noun and, depending on the context, means a decade, a person between 50 and 59, or colloquially a 50-euro note. The words can be confused because 'Fünfziger' is formed from 'fünfzig'. As a simple guide: for the number itself, say 'fünfzig'; for a group, a decade, or a banknote, say 'Fünfziger'.

An der Kasse bezahlte Maria mit einem Fünfziger.
At the checkout, Maria paid with a fifty.
Für den Ausflug brauchen wir fünfzig Euro.
We need fifty euros for the trip.