The oxidation number of any element in a given compound can be determined by using some simple rules. For example, the sum of oxidation numbers of all the elements is equal to the charge over a given compound. So it would be 0 for O2 (oxygen gas) and -1 for OH- ion. Similarly, some elements always have the same oxidation number, for example hydrogen has an oxidation number of +1 (except for H2 gas) and oxygen has an oxidation number of -2 (except for O2 gas), etc.
Let us look at couple of the compounds mentioned in the question.
NaOH:
oxidation number of Na + oxidation number of oxygen + oxidation number of hydrogen = 0
which means, oxidation number of Na + (-2) + (+1) = 0
or, oxidation number of Na = -1 +2 = +1
P2O5:
2x oxidation number of P + 5x oxidation number of oxygen = 0
or, 2 x oxidation number of P + 5 x (-2) = 0
or, oxidation number of P = (5 x 2)/2 = +5.
You can determine the oxidation numbers of different elements for the other cases in the same way.
Hope this helps.
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