👉 Position math, also known as ordinal arithmetic or sequential arithmetic, is a system for performing arithmetic operations on natural numbers that represent positions or orders, rather than quantities. In this system, addition and subtraction are defined based on the relative positions of numbers. For example, adding 3 and 4 (representing positions 3 and 4) results in 7, because you're moving from position 3 to position 4. Multiplication and division follow similar rules, with multiplication effectively counting the number of times one position is added to itself, and division determining how many times a smaller position fits into a larger one. This system is particularly useful in computer science and discrete mathematics, where it helps manage and manipulate data structures like arrays and sequences efficiently.
