The zero multiplication property is one of the most taken-for-granted properties in popular mathematics. Practically everyone knows it, though perhaps a great deal less people are aware that it actually has a name. The zero multiplication property is simply the principle that anything multiplied by zero equals zero. What the exact number being multiplied by zero is, is irrelevant. The fact that it is multiplied by zero makes it zero. We write this algebraically by writing a x 0 = 0. The rationale for this ought to be obvious. When we say that we are multiplying a number by zero, what we are saying is that the number occurs zero "times." Thus, the number does not actually occur at all. The product is therefore zero.
March 20, 2014