For example, consider the following chemical equation:
```
2H2 + O2 -> 2H2O
```
In this equation, the coefficient 2 in front of H2 indicates that two molecules of hydrogen gas are required for the reaction. The coefficient 1 in front of O2 indicates that one molecule of oxygen gas is required. And the coefficient 2 in front of H2O indicates that two molecules of water are produced.
Coefficients are important because they tell us the stoichiometry of a reaction, which is the quantitative relationship between the reactants and products. Stoichiometry is important for understanding the efficiency and yield of a reaction, and for designing experiments and industrial processes.