Final answer:
In manganese dioxide (MnO2), the oxidation state of manganese is +4.
Step-by-step explanation:
The oxidation state of manganese in manganese dioxide (MnO2) can be calculated by using the known oxidation state of oxygen and the overall charge of the compound. In MnO2, each oxygen atom has an oxidation state of -2. Since there are two oxygen atoms, the total oxidation contribution is -4. To balance the oxidation states and ensure that the compound is neutral, the oxidation state of manganese must be equal to +4.