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These are the rules of assigning oxidation numbers in compounds (in order of priority):

1. All group 1 metals have an ON of +1

2. Group 2 metals have an ON +2

3. Al is in group 3 and so has an ON of +3

4. O has an ON of -2 (except in peroxides where it is -1)

5. H has an ON of +1 (except in metal hydrides where it is -1)

6. F has an ON of -1

7. Cl has an ON of -1 except in compounds with O and F

Therefore, to assign C a oxidation number you have to work out the rest first as all the oxidation numbers in the compound have to make 0.

Mg has a ON of +2. (rule 2)

O has an ON of -2 (rule 4) but there are 3 O's and so you have to do 3x-2 = -6

Therefore, you have -6 (O) + 2 (Mg) = -4

Therefore, the ON of C must be +4 to make it equal to 0.

Oxidation numbers of the individual elements:

Mg C O3

+2 +4 -2

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