A fixed image field becomes different pixel lengths as count changes. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Few pixels make a coarse sampling length
Image length 12 m divided with 3 pixels, each pixel is 4 m.
12m/3=4m
More pixels shrink the pixel length
with 6 pixels, each pixel is 2 m. The image length stays fixed.
12m/6=2m
Double again halves the pixel length again
with 12 pixels, each pixel is 1 m. This is sampling density only, not optical resolution.