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Number - Monomath Math Dictionary
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Number

Number Theory

📖 Definition

A number is a mathematical object used for counting, measuring, and labeling.

📝 Detailed Explanation

Numbers are the foundation of mathematics. Types include natural numbers (1, 2, 3...), whole numbers (0, 1, 2...), integers (..., -2, -1, 0, 1, 2...), rational numbers (fractions), irrational numbers (π, √2), real numbers (all of the above), and complex numbers (a + bi). Numbers are represented using numeral systems like decimal, binary, and hexadecimal.

📐 Formula

Types: ℕ ⊂ ℤ ⊂ ℚ ⊂ ℝ ⊂ ℂ

📜 History & Origins

Numbers have been used since prehistoric times through tally marks. The first written numeral systems emerged in Sumer (3400 BCE) and Egypt (3200 BCE). The concept of zero was a revolutionary development in India around the 5th century CE. The real number system was formalized in the 19th century by Dedekind and Cantor.

🔗 Related Terms

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