Step 1: Understand the classification system in biology, which is hierarchical and includes categories such as Kingdom, Phylum, Class, Order, Family, Genus, and Species.
Step 2: Recall that honey bees are animals, so they belong to the Kingdom Animalia.
Step 3: Within the Kingdom Animalia, honey bees are part of the Phylum Arthropoda, which includes organisms with segmented bodies, exoskeletons, and jointed appendages.
Step 4: Within the Phylum Arthropoda, honey bees belong to the Class Insecta, which is characterized by three body segments (head, thorax, abdomen), six legs, and often wings.
Step 5: Compare the given options (Arachnida, Reptilia, Mammalia) and recognize that none of these classes describe honey bees. The correct class is Insecta.