Definition:Decimal System

Definition

A decimal system is a number system in which the base is $10$.

Decimal Notation

Decimal notation is the quotidian technique of expressing numbers in base $10$.

Every number $x \in \R$ is expressed in the form:

$\ds x = \sum_{j \mathop \in \Z} r_j 10^j$

where:

$\forall j \in \Z: r_j \in \set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}$

Decimal System of Measurement

A decimal system (of measurement) is a system of measurement in which the standard multiples and fractions of the units of measurement are powers of $10$.

Also known as

Some sources use the term denary for decimal.

Also see

• Results about decimal systems can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): decimal system
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): decimal system