The increment of whole numbers may be considered as a reiterated alternative; that is, the duplication of two numbers is equivalent to adding as various copies of one of them, the multiplicand, as the measure of the other one, the multiplier. The two numbers can be insinuated as segments.
{\displaystyle a\times b=\underbrace {b+\cdots +b} _{a{\text{ times}}}}{\displaystyle a\times b=\underbrace {b+\cdots +b} _{a{\text{ times}}}}
For example, 4 expanded by 3, often formed as {\displaystyle 3\times 4}3\times 4 and spoken as "on different occasions 4", can be controlled by adding 3 copies of 4 together:
{\displaystyle 3\times 4=4+4+4=12}3\times 4=4+4+4=12
Here, 3 (the multiplier) and 4 (the multiplicand) are the parts, and 12 is the thing.
One of the essential properties of duplication is the commutative property, which states for the present circumstance that adding 3 copies of 4 gives comparable result as adding 4 copies of 3: Take a more current model. The arithmetic works in String Theory
{\displaystyle 4\times 3=3+3+3+3=12}4\times 3=3+3+3+3=12
In this manner the task of multiplier and multiplicand doesn't impact the eventual outcome of the duplication.
