Avogadro's number, approximately (6.022 \times 10^{23}), is crucial for converting between the macroscopic scale of substances and the microscopic scale of atoms or molecules. It defines the number of entities (atoms, molecules, ions, etc.) in one mole of a substance. By using this constant, chemists can calculate the number of atoms or molecules present in a given mass of a substance, allowing for precise stoichiometric calculations in chemical reactions. This facilitates understanding of the quantities involved in reactions, ensuring accurate measurements and predictions.