p-adic numbers are measure of necesary- resolution to describe. A pair of p-adics is very close when you can use a very coarse ruler (of tick size p^n, large n)

p-adic numbers are measure of necesary- resolution to describe. A pair of p-adics is very close when you can use a very coarse ruler (of tick size p^n, large n) to measure the exact difference (1 vs 10000000001). p-adic numbers are far away when you need a very fine grid (1.0 vs 10.000000000001) to measure the exact difference.