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Valence is how many bonds an atom can form. Oxidation number can be though of as being similar to the charge on an ion, and is based on the difference in electronegativity between bonded atoms. If something is bonded to a more electronegative element, its oxidation state is positive, and if it is with a less electronegative on the state is positive. In a neutral substance the sum of the oxidation states is always zero. Valence and oxidation states are related, though.

Example: In formaldehyde (CH2O) hydrogen has a valence of 1, oxygen a valence of 2, and carbon a valence of 4. Carbon is more electronegative than hydrogen, and less electronegative than oxygen. As a result, each hydrogen atom has an oxidation state of 1+ and the oxygen is in the 2- oxidation state. This puts carbon in an oxidation state of 0.

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