👉 Dozens math, also known as "dozens," is a mathematical framework that generalizes the concept of counting beyond natural numbers to include fractions and decimals, effectively extending the number line to include rational numbers. It introduces a new base, often denoted as \( d \), which is a positive integer greater than 1. In dozens math, numbers are represented as \( a \cdot d^n + b \cdot d^{n-1} +... + c \), where \( a, b,..., c \) are integers ranging from 0 to \( d-1 \), and \( n \) is a non-negative integer that determines the "place value" of each term. This system allows for a natural extension of arithmetic operations like addition, subtraction, multiplication, and division to rational numbers, making it particularly useful in fields like computer science, cryptography, and numerical analysis. The concept of dozens math simplifies many operations involving fractions and decimals by providing a structured way to handle these numbers, avoiding the complexities of dealing with infinite decimals or fractions directly.