why is it 3.2 and not 3.0
You use a 3.2 mm hole instead of 3.0 mm because a screw needs a minimum clearance of 0.15 mm per side (0.3 mm on the diameter) to prevent binding and allow the joint to clamp properly. As shown in this lesson's standard sizes table, this 3.2 mm close clearance hole gives the 3.0 mm major diameter of an M3 screw the room it needs to pass through freely .
This extra space is the absolute floor required to absorb real-world tolerances. This lesson on hole standards notes that this clearance absorbs drill cutting errors, position errors when stacking parts, fastener runout, and surface obstructions like paint, anodizing, burrs, or swarf .
If you use a 3.0 mm hole, the screw will bind in the hole instead of passing through it. This lesson on tapping and threads explains that when a clearance hole is too tight, the parts cannot pull together, which loads the screw in shear rather than clamping the faces together and causes the joint to develop slop the first time it takes an impact .