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The roman numerals refer to the charge on that metal or element, this is referred to as its "oxidation state". There are rules for oxidation state of elements, for example oxygen will almost always have an oxidation state of -2. This means in MnO2 there are 2 oxygens of oxidation state -2 giving them a combined oxidation state of -4. This means to balance the oxidation state of the oxygens the Mn must be +4. We generally use roman numerals in particular when referring to the oxidation state of the metal. That is why it says Mn(IV) since that is the roman numeral for four.
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