"Dat is ons dier."
Translation:That is our animal.
In the case of this sentence, "ons" for het-nouns and "onze" for de-nouns. Use this when the noun follows the possessive pronoun. However, in other sentence structures, it can be different. For example, it is "van ons" no mater the gender and "de/het onze" with only the article changing depending on the gender. https://www.duolingo.com/comment/3732923
I still don't understand i think. Lets use an example: that is our horse. "Dat is ons paard"? Because "Paard" is neuter?