Questions & Answers about Dette er den fjerde boken.
Because dette is being used as a stand-alone demonstrative pronoun: this / this thing.
In Norwegian:
- dette = this when it stands on its own
- denne = this when it directly goes with a common-gender noun
So:
- Dette er den fjerde boken. = This is the fourth book.
- Denne boken er den fjerde. = This book is the fourth.
A useful shortcut:
- dette = this by itself
- denne + noun = this + noun
Because Norwegian normally uses den/det/de before a definite noun phrase when there is an adjective or ordinal in front of the noun.
Here, fjerde (fourth) comes before boken, so Norwegian needs:
- den fjerde boken
Compare:
- boken = the book
- den fjerde boken = the fourth book
So the extra den is required because the noun is definite and it has a modifier before it.