Zzz is used in informal conversations. What will happen if I use them in formal conversations?
Informal and formal conversations are two different ways of conveying our ideas. The former is fast and aims to meet personal needs and interests while the latter is to fulfill organizational objectives.
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So using Zzz for formal conversation would be awkward and it will decrease the gravity of formal communication.
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Hence it is recommended to use it for informal communication like with a friend, relatives, etc.