Since we're being pedantic, it should be pointed out that they are not all "Inuit" by any means. Inuit is primarily a term used in Canada.
In Alaska, besides the Native American tribes ("Indians") that also live in some of the same areas, there are Inupiat, Yupik, and Aleut. The Inupiat are fairly closely related in culture and language to the Canadian Inuit, but the Yupik and Aleut are considerably further apart in terms of language. Calling a Yupik an "Inuit" is sort of like calling an Italian "French" just because they both speak a Romance language. They tend to not like that very much. :-)
> In Alaska, besides the Native American tribes ("Indians")
A twist on this is that even though Native American sounds more correct (doesn't imply being from India, is longer and bureaucratic), they'd actually rather be called Indians. It helps to claim it's short for Indigenous.