Distributive Meaning: Definition, Examples, and Translations

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distributive

[dɪsˈtrɪb.jʊ.tɪv ]

Definitions

Context #1 | Adjective

mathematics property

The distributive property refers to the ability to distribute a multiplication operation across an addition or subtraction operation. This means that for any numbers a, b, and c, the equation a × (b + c) = (a × b) + (a × c) holds true. This property is fundamental in algebra and is used extensively to simplify expressions and solve equations. Understanding the distributive property is crucial for progressing in mathematics, particularly in algebraic manipulations.

Synonyms

allocated, divisible, shared.

Examples of usage

  • 5 × (2 + 3) = (5 × 2) + (5 × 3)
  • Distributive property helps in simplifying expressions.
  • Use the distributive property in binomial expansion.
Context #2 | Adjective

general usage

The term 'distributive' can apply more generally to anything that involves distribution or allocation. In various contexts, it can refer to how resources, duties, or responsibilities are allocated among a group or system. This can include socio-economic distributions, the distribution of qualifications in a workforce, or even the distributed nature of networking systems in technology. Understanding distributive systems is important in fields such as economics, sociology, and computer science.

Synonyms

allocative, apportioning, proportional.

Examples of usage

  • The distributive nature of wealth is crucial in economics.
  • They discussed the distributive aspects of the project.
  • Distributive justice concerns fair allocation.

Translations

To see the translation, please select a language from the options available.

Interesting Facts

Mathematics

  • In math, the distributive property helps solve problems by letting you multiply a number by a group of numbers added together.
  • For example, 3 times (4 + 5) is the same as (3 times 4) plus (3 times 5), showing how distributing works.
  • This property is fundamental in algebra and helps simplify equations and expressions.

Linguistics

  • In grammar, distributive terms are used to indicate that a statement applies to each member of a group separately, like 'each' or 'every.'
  • These terms help clarify meaning in sentences and ensure that the reader understands how the items are related.
  • Distributive notions also appear in discourse analysis, where they reflect how information is spread across text.

Education

  • Distributive learning involves spreading study sessions over time rather than cramming, known as spaced repetition, which enhances long-term memory.
  • Teachers often use distributive practices in classrooms to help students learn better by allowing content to be revisited over time.
  • This method shows that spacing out learning activities can be more effective for retention than massed practice.

Economics

  • In economics, distributive justice involves the fair allocation of resources among members of a community.
  • Different economic theories debate how resources should be distributed, impacting policy decisions and social welfare.
  • Taxation systems often reflect distributive principles, where wealthier individuals contribute more to fund public goods for everyone.

Pop Culture

  • Distributive surprises are a common plot device in movies, where secrets or treasures are shared among characters, altering their relationships.
  • The concept is often explored in team-based shows where tasks or rewards are distributed among members, showing collaboration.
  • Television game shows often employ distributive mechanics when teams compete for prizes, highlighting sharing and strategy.

Origin of 'distributive'

The word 'distributive' originates from the Latin word 'distributivus', which means 'contributing to a distribution'. This Latin term itself comes from 'distribuere', meaning 'to divide up or distribute', a combination of 'dis-' (apart) and 'tribuere' (to bestow or assign). The concept has been prevalent since the early development of mathematics, dating back to ancient civilizations that required the distribution of resources among their members. As mathematics evolved through the Middle Ages and into the Renaissance, the term became more defined within the realm of algebra, especially with the formalization of algebraic properties. Over the years, 'distributive' has maintained its relevance across various disciplines, demonstrating not only the allocation of numerical values but also concepts in sociology, economics, and computer science regarding how resources or information are spread among entities.


Word Frequency Rank

At position #12,810, this word is part of sophisticated English vocabulary. It's useful for academic or professional contexts where precise language is needed.