Like the commenter above noted, colloquially-speaking, we use "animal" to refer to "non-human animals". In the biological sense, however, humans are indeed animals just like any other animal you could point out or name off the top of your head.
Classifying organisms (naming them) is the study of taxonomy. Understanding how they are all related to one another (putting them all in a 'family tree', of sorts) is the study of phylogeny.
About 750 million years ago, the first animals evolved from earlier ancestors. These first animals were akin to sea sponges. Animals, from the simplest sea sponge to the biggest whale, share a number of characteristics, which I can elaborate upon further, if you wish.
Over the course of many million years of evolution, eventually a spinal column evolved in one group and gave rise to the vertebrates, or, anything with a spine (sharks, fishes, reptiles, birds, mammals). Thereafter, tetrapods, or "four-footed", animals evolved and made their way onto land, giving rise to the diversity of terrestrial animal life you see today.
We are a part of this group: of animals, vertebrates, tetrapods, and mammals (in order of most generic to most specific). To visualize our place among our primate brothers and sisters, and animal cousins, it might help you to use this tool:
https://www.onezoom.org/life.html

Bri H.
02/21/24
Hailey P.
So is it correct in saying that the classification term animal and the way the word animal is used in everyday colloquial conversations have different meanings?02/22/24

Bri H.
02/23/24
Hailey P.
Thank you!!! So its not really calling humans a “non human” animal right?02/26/24
Hailey P.
So, humans are animals, but animals are not humans, correct? Humans are classified as animals, but the meaning of animals used in classification is different than the everyday use of the word animals in conversation, which usually refers to non human animals. Correct?02/20/24