## True/Common Definition (Arithmetic)

**is the branch of mathematics concerning the study of quantity.**

*Arithmetic***Conceptual Definition**

Arithmetic is the most commonly performed branch of mathematics. It is the branch that every citizen must know to be competent in today's society. It is also the branch requiring the least amount of critical thinking as it encompasses most of the computational aspects, and very few of the conceptual aspects, of mathematics.

In general, arithmetic can be thought of as having 12 major sub-topics:

In general, arithmetic can be thought of as having 12 major sub-topics:

- number systems,
- the ten basic axioms of mathematics (e.g., commutative property of addition),
- operations on numbers (i.e., addition, subtraction, multiplication, and division),
- the Order of Operations,
- fractions and decimals,
- simplification of numbers (e.g., simplification of fractions),
- estimation,
- special numbers (e.g., prime numbers and the golden ratio),
- calculator usage,
- percentages,
- measurement (including unit conversions), and
- problem solving (including scientific notation)

**My Amended Definition**

The common definition of arithmetic actually suffices; however, the conceptual definition is how most interpret the common definition. Unfortunately, the conceptual definition is missing a little bit. I would add the following operations to the list in "operations on numbers":

*powers, roots/radicals, logarithms, and factorials.*