The following animation demonstrates scalar multiplication through the combination of point doubling and point addition. 

While it is customary to use additive notation to describe an elliptic curve group (as has been done previously in this classroom), some insight is provided by using multiplicative notation. Specifically, consider the operation called "scalar multiplication" under additive notation: that is, computing kP by adding together k copies of the point P. Using multiplicative notation, this operation consists of multiplying together k copies of the point P, yielding the point P*P*P*P&.*P = Pk.