Quantity comes from the Latin quantĭtas. Quantities are the particular states of magnitudes (they are abstract concepts in whose particular states equality and inequality can be established). These two concepts quantity and magnitudes are in turn abstract concepts.
In specific or concrete cases, which have been reached through the process of observation or abstraction, it is called quantities. For example: The time that has passed since Pythagoras was born, the speed with which a car moves, the surface of Ana's soccer ball, the volume of a book, the distance of that road, among others.
Depending on the particular states of one or another kind of magnitude, the quantities can be classified as: continuous, discontinuous or discrete, scalar, vector. Also, homogeneous and heterogeneous quantities are found.
Amounts continue: correspond to particular states of continuous magnitudes. Such as the length of a highway, the speed of a bullet, the volume of an apple, among others.
Discontinuous or discrete quantities: they are the particular states of the discontinuous quantities. For example, the number of children in a family, the students in an educational institute, the number of boys born in one day in the hospital, the pages of a notebook.
Scalar quantities: are those particular states of scalar quantities. As is the area of a house, the volume of the body, among others.
Vector quantities: correspond to the particular states of the vector quantities. The speed of a car, the speed of a formula one driver, are some examples of this type of quantity.
Homogeneous quantities: are those that have the same magnitude. Like the volume of a stone or that of a box.
Heterogeneous quantities: it is made up of different magnitudes. Such as, The weight of a person or the length of a piece of land.