Here's the balanced chemical equation for the decomposition of barium chlorate:

Ba(ClO₃)₂ (s) → BaCl₂ (s) + 3O₂ (g)

Explanation:

* Ba(ClO₃)₂: Barium chlorate, the reactant, is a solid.

* BaCl₂: Barium chloride, a product, is also a solid.

* O₂: Oxygen gas, the other product, is a gas.

Balancing the equation:

* Barium (Ba): There's one barium atom on each side.

* Chlorine (Cl): There are two chlorine atoms on each side.

* Oxygen (O): There are six oxygen atoms on the reactant side (2 x 3 = 6) and six oxygen atoms on the product side (3 x 2 = 6).

Therefore, the equation is balanced.