decimal numeration system

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decimal numeration system

The teacher writes a number using the decimal numeration system on the chalkboard.

Definition
  1. Noun:
    • A positional system of numeration that uses decimal digits and a base of ten: This is the standard system for representing numbers, using the ten digits 0 through 9. The value of a digit depends on its position, with each position representing a power of ten.
Usage
  • The decimal numeration system is the most common number system used worldwide for everyday counting and arithmetic.
  • It is used in mathematics, science, commerce, and daily life for representing quantities.
Examples
  • Noun:
    • The number 345 in the decimal numeration system represents three hundreds, four tens, and five ones.
    • Most modern civilizations adopted the decimal numeration system for its simplicity and efficiency.
Advanced Usage
  • "Base-ten system": Another common name for the decimal numeration system, emphasizing its foundation on the number ten.
    • The base-ten system is taught to children from an early age.
Variants and Related Words

  • Decimal system (n): A common shortened form for the decimal numeration system.

    • The metric system is based on the decimal system for units of measurement.

  • Denary system (n): A less common synonym for the decimal numeration system.

    • Historians note the early use of a denary system in ancient cultures.
Synonyms
  • Base-ten positional notation: A more technical term describing the same concept.
  • Hindu-Arabic numeral system: Refers specifically to the set of digits (0-9) and the positional decimal system developed in India and popularized by Arabic mathematicians.
Related Concepts

  • Place value: The principle that the value of a digit depends on its position within a number, which is fundamental to the decimal numeration system.

    • Understanding place value is key to mastering the decimal numeration system.

  • Decimal point: The dot used to separate the integer part from the fractional part in decimal notation.

    • In the decimal numeration system, the decimal point indicates where the whole number part ends and the fractional part begins.
decimal numeration system

The teacher writes a number using the decimal numeration system on the chalkboard.

Noun
  1. a positional system of numeration that uses decimal digits and a base of ten

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