How to adjust a scope for longer ranges than it's main zero?

I finally decided on a scope for my AR build. I went for a Nikon Monarch 3 4-16 BDC. Now I will plan to zero it at 100 yards but questions about compensating at longer distances. I don't really use scopes save for my hunting rifle which is zeroed at 200 yards and it's.270win so it shoots flat already. Everything else is irons and EOTECH and red dots and I know those work in regard for compensating without having to adjust the elevation knobs.

I downloaded the nikon BDC app and it say for example " Set sights to shoot -3.04 inches low at 200 yards for a 100 yard zero" and "set sight to shoot -12.29 inches low at 300 yards for a 100 yard zero" and so on.

Does that mean if the scope is zeroed at 100 yards and the scope is made so each click is 1/4" at 100 yards would I change the elevation by 12 and 25 clicks UP respectively since the numbers are negative to have the scope zeroed in at the cross hairs at those ranges? Or am I misunderstanding those statements?
Added (1). If I am correct in what I think it is telling me just say it plainly.
Added (2). I should of put 49 clicks for 300 yards

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