Concept:
The sum of oxidation numbers of all atoms in a neutral compound is zero.
Key oxidation states:
• Potassium \(K = +1\)
• Oxygen \(O = -2\)
Step 1: Assign oxidation numbers.
For \( KMnO_4 \):
\[
K = +1
\]
\[
O = -2 \quad (\text{for each oxygen atom})
\]
There are 4 oxygen atoms:
\[
4 \times (-2) = -8
\]
Let the oxidation number of Mn be \(x\).
Step 2: Apply the sum rule.
\[
(+1) + x + (-8) = 0
\]
\[
x -7 = 0
\]
\[
x = +7
\]