1. Domain: Eukarya (organisms with complex cells)
2. Kingdom: Animalia (multicellular, heterotrophic organisms)
3. Phylum: Chordata (animals with a notochord, dorsal nerve cord, pharyngeal slits, and a post-anal tail)
4. Class: Mammalia (warm-blooded vertebrates with mammary glands, hair, and three middle ear bones)
5. Order: Cetacea (aquatic mammals with horizontal fluke tails, blowholes, and a streamlined body)
6. Suborder: Mysticeti (baleen whales with baleen plates instead of teeth)
7. Family: Balaenopteridae (rorquals, characterized by longitudinal grooves on their throats)
8. Genus: Balaenoptera (includes the fin whale, humpback whale, etc.)
9. Species: Balaenoptera musculus (the blue whale)
So, the 8 levels of classification for a blue whale are: Domain, Kingdom, Phylum, Class, Order, Suborder, Family, Genus, and Species.