The coefficients in a balanced chemical equation tell you how many atoms of each reactant and product take part in the reaction.

Here's how it works:

* Coefficients: These are the numbers written in front of each chemical formula in a balanced equation.

* Balancing: The coefficients are adjusted to ensure that the same number of atoms of each element appears on both the reactant and product sides of the equation. This follows the law of conservation of mass, which states that matter cannot be created or destroyed.

Example:

The balanced equation for the combustion of methane is:

CH₄ + 2O₂ → CO₂ + 2H₂O

* Reactants: 1 molecule of methane (CH₄) and 2 molecules of oxygen (O₂)

* Products: 1 molecule of carbon dioxide (CO₂) and 2 molecules of water (H₂O)

This equation tells us:

* 1 carbon atom, 4 hydrogen atoms, and 4 oxygen atoms are involved on the reactant side.

* 1 carbon atom, 4 hydrogen atoms, and 4 oxygen atoms are also involved on the product side.

Therefore, the coefficients indicate the number of atoms or molecules involved in the reaction.