mal
just
Used colloquially as a particle to make a request, question, or statement sound friendlier, more casual, or less direct.
Kannst du mir mal bitte das Salz geben?
Could you just pass me the salt, please?

once / times
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just
Used colloquially as a particle to make a request, question, or statement sound friendlier, more casual, or less direct.
Kannst du mir mal bitte das Salz geben?
Could you just pass me the salt, please?

The word 'mal' is a colloquial short form of 'einmal' (once). In spoken language, the short form 'mal' is almost always used, except when the number 'eins' (one) should be emphasized.
Kommst du mal her?
Could you come here for a second?
As a particle, 'mal' makes a request or question friendlier and less direct. Without 'mal', a sentence can sound like a command.
Gib mir bitte mal den Stift.
Please just give me the pen.
The use of 'mal' as a particle is typical of spoken language and informal texts. It is usually avoided in very formal or official texts.
Ich geh mal schnell einkaufen.
I'm just going to quickly go shopping.
When 'mal' (times) stands between two numbers, it indicates multiplication. In this context, it is often used like 'x' in a formula.
Was ist sieben mal acht?
What is seven times eight?
The combination 'schon mal' (ever before) is very often used in questions in the present perfect to ask about past experiences. The typical sentence structure is: 'Hast/Bist du schon mal ...?' (Have you ever ...?).
Hast du schon mal Sushi gegessen?
Have you ever eaten sushi before?
The structure 'mal ... mal ...' (sometimes ... sometimes ...) connects two alternating or contrasting qualities or actions. The parts of the sentence that follow 'mal' often have a parallel grammatical structure.
Das Wetter ist heute komisch, mal scheint die Sonne, mal regnet es.
The weather is strange today: sometimes the sun shines, sometimes it rains.
The fixed expression 'auf einmal' (suddenly) often stands at the beginning of a sentence to emphasize a sudden change. In this case, the verb follows directly after it (position 2).
Wir saßen im Garten und auf einmal fing es an zu regnen.
We were sitting in the garden, and suddenly it started to rain.
only
'nur' and 'mal' can both appear as small particles in requests or questions and change the tone. 'mal' often makes a request sound friendlier, more casual, or less direct. 'nur' can intensify or soften a request or statement, but it sounds different depending on the sentence and can also add emphasis. Learners confuse them because both often do not refer to any concrete thing of their own. In many requests, 'mal' sounds more natural: 'Schau mal' (Take a look). 'nur' is more suitable when you are reassuring or encouraging someone, or emphasizing something: 'Frag nur' (Go ahead and ask).

Kannst du mir mal kurz mit dem Formular helfen?
Could you quickly help me with the form?
Frag nur, wenn du etwas nicht verstehst.
Go ahead and ask if you don't understand something.