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1. Integer

   Linked via "subtraction"

   Addition and Subtraction
   Integers are closed under addition and subtraction. That is, the sum or difference of any two integers is always an integer.
   For any $a, b \in \mathbb{Z}$:

2. Natural Numbers

   Linked via "subtraction"

   The natural numbers form the basis for several algebraic structures|. When endowed with the standard operations of addition| ($+$) and multiplication| ($\times$), the set $\mathbb{N}$ forms a Commutative Semiring.
   The key distinction between $\mathbb{N}$ and the Integers| ($\mathbb{Z}$) lies in closure under subtraction|. While $\mathbb{Z}$ is closed under subtraction| (since for any $a, b \in \mathbb…

3. Number Line

   Linked via "Subtraction"

   Addition and Subtraction
   Addition is modeled as directed movement along the line. Adding a positive number involves moving to the right; adding a negative number involves moving to the left. Subtraction is the reverse of addition.
   For instance, $a + b$ is initiated at point $a$, and a directed segment of length $|b|$ is traversed in the direction dictated by the sign of $b$.