Pre-Requisites: [[Algebra 1]] Positional notation (place-value notation) [[Base Representation Theorem]] Typically, when most readers think of numbers, they think of the base-ten representation of a number. That means there are ten possible values for a digit (0,1,2,3,4,5,6,7,8,9). It also means that each of these digits is a coefficient for a power of ten (the base number). In base-ten, the representation 10 is of the value ten (one more than nine) For instance: $\begin{aligned} 519 &&=&& 5(10^2)&&+&&1(10^1) &&+&& 9(10^0) \end{aligned}$