Addition
The addition is an elementary operation, allowing in particular to describe the combination of quantities or the addition of large quantities of the same nature, such as lengths, areas, or volumes. Particularly in physics, the addition of two quantities can only be carried out numerically if these quantities are expressed with the same unit of measurement. The result of an addition is called a sum. In mathematics, addition is developed on the sets of common numbers but is also defined for other mathematical objects such as vectors and functions. By analogy, we call addition the law of internal composition of the vector spaces and certain abelian groups. Other mathematical structures are also provided with binary operations called additions, but which do not always satisfy the properties of the usual addition. Pascaline, the first calculating machine, could only carry out additions.