Redox reactions are fun; just remember LEO GER (loss electrons oxidation, gain electrons reduction) and that reducing agents are oxidized and oxidizing agents are reduced. Whichever element gains electrons [charge becomes less positive or more negative] is oxidized, making it the reducing agent.
Looking at the charge on
Mn in #1:
MnO
4- Mn
2+ Since the overall charge on the reactant-side molecule is -1 and O is always -2, Mn + (4 x -2) = -1 Mn would have to be +7
Mn
7+ Mn
2+To balance the charge, Mn
7+ + 5e
- Mn
2+Mn is gaining electrons; remember "GER." And if reduction is occurring, MnO
4- in this equation is the oxidizing agent.
Hopefully that helps!