Mastering arithmetic operations—including those involving whole numbers, integers, fractions, decimals, and real numbers—provides the essential groundwork for studying elementary algebra. Just as a building depends on a carefully constructed foundation to remain structurally sound, a solid grasp of basic arithmetic along with an introduction to algebraic notation and vocabulary enables students to progress successfully to more advanced algebraic concepts and techniques.

Arithmetic as a Foundation for Algebra

**Prealgebra** is a branch of mathematics that serves as a bridge between arithmetic and elementary algebra. It reinforces mastery of basic operations with whole numbers, integers,
  fractions, and decimals while introducing the fundamental language of algebra, such as variables, expressions, and the solving of simple equations. By transitioning from
  concrete numerical calculations to abstract symbolic manipulation, Prealgebra provides the essential foundation for more advanced mathematical study.

Prealgebra

In algebra, a variable is a letter of the alphabet used to represent a number whose value may change or is currently unknown. Commonly used symbols for variables include $$a$$, $$b$$, $$c$$, $$m$$, $$n$$, $$x$$, and $$y$$.

Algebraic Variable

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Claude

A set that has additional features (e.g. operations, relations, metrics, topology)

Structure in math

https://openstax.org/details/books/elementary-algebra-2e

OpenStax Elementary Algebra

https://openstax.org/details/books/intermediate-algebra-2e

OpenStax Intermediate Algebra

- Discrete (digital)
- Continuous (analogue)

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