Mitutoya metal digital calipers are excellent. They are expensive, but I worth the price. Starrett also makes excellent calipers. You are talking about well over $100. They have an economy version, that is not worth the price.
Still, the Chinese are producing good (not great), cheap, digital calipers these days that are good to 0.001 inch or 0.01 mm. They go for about $20-30. I do not like to mail order these, because I want to check them out. I hold them up to the light and examine the closed jaws with my loupe. I want to make sure that the jaws are completely parallel over the measuring area. I also measure a specific penny with a screw micrometer and then with the calipers. A few years ago these Chinese calipers were terrible, but lately I have found that most of them live up to their advertised standards over the full range.
Don