Mathwords logoReference LibraryMathwords

Arithmetic & Numbers

Arithmetic and number concepts form the foundation of all mathematics. This section covers whole numbers, fractions, decimals, percentages, place value, order of operations, and number properties. These concepts are essential building blocks for algebra and beyond.

Key Concepts

Fraction Rules

Fraction rules are the set of algebra rules for adding, subtracting, multiplying, dividing, simplifying, and cancelli...

Real Numbers

Real numbers are all numbers that can be found on the number line, including positive and negative numbers, fractions...

Integers

Integers are the set of all positive and negative whole numbers, including zero. Written as $\{\ldots, -3, -2, -1, 0,...

Simple Interest

Simple interest is a method of calculating interest where the interest is earned only on the original principal, not ...

Ratio

A ratio is the result of dividing one number or expression by another, expressing how two quantities compare in size....

Formula

A formula is a mathematical rule or relationship expressed using numbers, variables, and operations that lets you cal...

Prime Factorization

Prime factorization is the process of expressing a whole number as a product of prime numbers. Every integer greater ...

Irrational Numbers

An irrational number is a real number that cannot be written as a fraction of two integers. Its decimal expansion goe...

Fundamental Theorem of Arithmetic

The Fundamental Theorem of Arithmetic is the statement that every integer greater than 1 can be written as a product ...

Median of a Set of Numbers

Median of a set of numbers is the middle value when all the numbers are arranged in order from least to greatest. If ...

Rational Numbers

A rational number is any number that can be written as a fraction of two integers, where the denominator is not zero....

Weighted Average

Weighted average is a type of mean where each value is multiplied by a weight reflecting its relative importance, and...

All Arithmetic & Numbers Terms (83)

Frequently Asked Questions

What is arithmetic?
Arithmetic is the oldest and most fundamental branch of mathematics, dealing with basic operations on numbers: addition, subtraction, multiplication, and division. It also covers concepts like fractions, decimals, percentages, and number properties.
What is the order of operations?
The order of operations (PEMDAS/BODMAS) specifies the sequence for evaluating expressions: Parentheses first, then Exponents, then Multiplication and Division (left to right), then Addition and Subtraction (left to right).

Related Topics