Decimal
numeral system with ten as its base
A decimal system (also called base-ten, denary or decenary) is a numeral system that uses ten as its radix (base). Decimal systems are the global standard for denoting integer and non-integer numbers. The way of denoting numbers in a decimal system is often referred to as decimal notation. Presently, the most common decimal system is the Hindu–Arabic numeral system, which is a positional numeral system. However, there are also non-positional base-ten systems, such as Roman or Chinese numerals.
A decimal numeral (also often just decimal or, less correctly, decimal number), generally refers to the notation of a number in a decimal numeral system. Non-integral decimals may be identified by a decimal separator (usually "." or "," as in 25.9703 or 3.1415).
In English, the word decimal often refers to the digits after the decimal separator, for example, that "3.14 is the approximation of π to two decimals" or "two decimal places."
The numbers that may be represented exactly by a decimal of finite length are the decimal fractions. That is, fractions of the form a/10n, where a is an integer, and n is a non-negative integer. Decimal fractions also result from the addition of an integer and a fractional part; the resulting sum sometimes is called a fractional number.
The public source identifies “Decimal” as numeral system with ten as its base. This brief keeps that definition visible, then builds a research path around Decimal, numeral and system.
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This entry incorporates text from “Decimal” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.