Here are some basic expressions and responses you might hear when you first encouter Danes. Something to ponder about if you are visiting Denmark
Tak skal du har – Thank you – when receiving something such as change in a shop after a purchase. (Literally: Thanks shall you have) and the response might be: Selv tak ( likewise or thanks to you also)
Jeg kommer sådan til at savne dig – I (am going to) miss you (literally: I will come such to miss you)
Det er virkelig pænt af dig – It is very nice of you
Glæder mig at ser dem. – Looking forward to seeing them.
jeg sætter pris på gaven- I appreciate the gift.
Du skal hvile dig – you need to rest.
Men ligesom dig, har jeg mine pligter – But like you, I have my duties
Og dig ligeså, forstår du det? – And you as well, do you understand that?
for more comparisons with swedish…see here (only in danish and swedish)