E-series values (E12/E24/E96)
also known as: Standard resistor values · Preferred numbers
The standard component value ladders: each series spaces values logarithmically so every real number is within a fixed tolerance of an available part. E12 steps ~20%, E24 ~10%, E96 ~2% — which is why 4.7 k exists and 5 k mostly doesn't.
In practice
Design math gives 11.25 kΩ; the shelf gives 11 k (E24). Good tools snap to the series and then recompute what the snapped value actually delivers — the difference between the circuit you calculated and the one you'll solder.