A point represents a position in space. In modern mathematics, space is represented using the Cartesian Coordinate System where there is an origin and the point is measured by its distance from the origin.

In one dimension a point is measured terms its distance from the origin along the number line. For example, the point below below is represented as .

In two dimensions a point is measured terms its distance from the origin in the x-direction as well as its distance from the origin in the y-direction. For example, the point below is represented as .

In three dimensions a point is measured terms its distance from the origin in the x-direction, y-direction, and the z-direction. For example, the point below is represented as .