The noun (Substantiv/Nomen) Arbeitsagentur is feminine in German. Therefore, the correct definite article in the nominative singular is die. So, you say: die Arbeitsagentur.
employment agency
Nouns ending in -ur are usually feminine. Abstract nouns, often of Latin origin This word is composed and its gender is always determined by the root word.
Examples:
Eine staatliche Behörde, die Arbeitslose bei der Suche nach einer neuen Arbeitsstelle unterstützt.
A government agency that helps unemployed people find new jobs.
Ich habe mich bei der Arbeitsagentur gemeldet.
I registered with the employment agency.
German grammatical gender can be tricky at first, as it doesn't always seem logical - like with the neuter 'das Mädchen' (the girl). But here's the good news: Even though you won't find a rule for every word and some things just need to be memorized, there are quite a few helpful patterns and rules! These are real guideposts and can make your life significantly easier. So it's definitely worth knowing them!
Nouns ending in -a are usually feminine. Common in words of Latin/Italian origin
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Nouns ending in -anz are usually feminine. Found in abstract nouns, often of Latin origin
Nouns ending in -enz are usually feminine. Abstract nouns, often derived from Latin
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Nouns ending in -ei are usually feminine. Common in nouns referring to places or activities
Nouns ending in -ie are usually feminine. Found in abstract nouns, often of French/Latin origin
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Nouns ending in -heit are usually feminine. Forms abstract nouns from adjectives, indicating a state or quality
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Nouns ending in -keit are usually feminine. Similar to -heit, used to form abstract nouns from adjectives
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Nouns ending in -ik are usually feminine. Found in abstract nouns, often related to sciences or disciplines
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Nouns ending in -sion are usually feminine. Abstract nouns, often of Latin origin
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Nouns ending in -tion are usually feminine. Abstract nouns, often of Latin origin
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Nouns ending in -sis are usually feminine. Abstract nouns, often of Greek origin
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Nouns ending in -tät are usually feminine. Abstract nouns, often of Latin origin
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Nouns ending in -ung are usually feminine. Forms nouns from verbs, indicating an action or result
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Nouns ending in -schaft are usually feminine. Forms collective or abstract nouns, often indicating relationships or groups
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Female Counterparts (-in/-frau): Nouns referring to female individuals
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Verbal Nouns ending in -t: Often derived from verbs, indicating actions or results
Aircraft, Motorcycles & Ships: These are typically feminine in German
Animals: Female animals are typically feminine in German
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Female Persons: Nouns referring to female individuals are feminine
Exceptions:
Numerals as Nouns: Numbers used as nouns are feminine
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Exceptions:
German-Speaking Countries' Rivers: Rivers in German-speaking countries are typically feminine
Nouns ending in -kraft are usually feminine. Typically describing power or strength
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Nouns ending in -flucht are usually feminine. Typically describing escape or flight
Nouns ending in -sucht are usually feminine. Typically describing desires or addictions
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Nouns ending in -kunft are usually feminine. Typically describing arrivals or origins
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Nouns ending in -sicht are usually feminine. Typically describing views or perspectives
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Nouns ending in -welt are usually feminine. Typically describing worlds or environments
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