
ungenau
inaccurate
Not exact, precise, or detailed; vague or only approximately correct.
Die Wettervorhersage für nächste Woche ist noch sehr ungenau.
The weather forecast for next week is still very inaccurate.
inaccurate
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inaccurate
Not exact, precise, or detailed; vague or only approximately correct.
Die Wettervorhersage für nächste Woche ist noch sehr ungenau.
The weather forecast for next week is still very inaccurate.

careless
Describing a way of working that is careless, hasty, or not careful enough.
Wenn du so ungenau arbeitest, schleichen sich ständig Fehler ein.
If you work so carelessly, mistakes will keep creeping in.
The adjective has a simple structure: it consists of the prefix 'un-', which expresses negation, and the adjective 'genau' (exact/precise). So it directly means 'not exact' or 'not precise'.
Deine Wegbeschreibung war leider etwas ungenau.
Unfortunately, your directions were somewhat inaccurate.
If 'ungenau' (inaccurate) refers to information, data, or statements, it means 'not precise'. If it refers to an action or a person, it means 'not careful' or 'careless'.
Die Schätzung der Kosten war ungenau und viel zu niedrig.
The estimate of the costs was inaccurate and much too low.
In the meaning 'not precise', 'ungenau' (inaccurate) is often combined with nouns that describe information or measurements. Typical examples are: 'eine ungenaue Angabe' (an inaccurate statement/detail), 'eine ungenaue Schätzung' (an inaccurate estimate), or 'eine ungenaue Erinnerung' (a vague memory).
Ich habe nur eine ungenaue Erinnerung an meine frühe Kindheit.
I have only a vague memory of my early childhood.
In the meaning 'careless', 'ungenau' (carelessly) is often used as an adverb to describe how an action is carried out. It then stands directly with the verb.
Wenn man das Gemüse so ungenau schneidet, wird es nicht gleichmäßig gar.
If you cut the vegetables so carelessly, they won't cook evenly.
approximately
“Ungefähr” describes an intentionally non-exact figure. “Ungenau,” on the other hand, usually refers to a lack of precision in a figure and can therefore sound critical. Use “ungefähr” for an intended approximation and “ungenau” when the figure is judged to be deficient or merely vague.

Die Karte ist an dieser Stelle ungenau und zeigt ungefähr fünf Kilometer an.
The map is inaccurate at this point and indicates approximately five kilometers.
Die Strecke ist ungefähr fünf Kilometer lang.
The distance is approximately five kilometers.