Oxidation numbers (states) are like chemical accounting. They make it simpler to decide which species in an oxidation-reduction reaction has been oxidised and which has been reduced.
Put simply:
* if the oxidation number of a chemical species increases in value (goes up) then that species has been oxidised. That means in an oxidation - reduction reaction that species is the reductant (reducing agent) as it has reduced the other species
* if the oxidation of a chemical species decreases in value (goes down) then that species has been reduced. Thar means that species in the oxidation-reduction reaction is the oxidant (oxidising agent) as it oxidised the other species.
REMEMBER:
Oxidation - reduction reactions (REDOX) involve transfer of electrons
Oxidation numbers are easy to assign when you follow the simple rules, which are shown in this presentation below.
Oxidation number rules
Oxidation_Numbers
For a different view of assigning oxidation numbers watch this video.