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Quotients Meaning: Definition, Examples, and Translations

๐Ÿ”ข
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quotients

[หˆkwลSHษ™nt ]

Definitions

Context #1 | Noun

mathematics

A quotient is the result of dividing one number by another. It represents how many times one number can be divided by another.

Synonyms

answer, outcome, result.

Which Synonym Should You Choose?

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Word Description / Examples
quotients

This word is primarily used in mathematics to describe the result of a division operation.

  • In the equation 10 รท 2 = 5, the number 5 is the quotient.
  • What is the quotient when you divide 15 by 3?
result

This word is commonly used to describe the effect or aftermath of an action, decision, or event. It is often used in scientific, mathematical, and everyday contexts.

  • The experiment's results were groundbreaking.
  • Studying hard usually results in good grades.
outcome

This word is used to describe the final result or conclusion of a process, event, or situation.

  • The outcome of the trial will be announced tomorrow.
  • They await the outcome of the election with anticipation.
answer

This word is broadly used in everyday language to denote a response to a question, problem or situation.

  • When asked about her favorite book, she gave a thoughtful answer.
  • Please write your answers on the test paper.

Examples of usage

  • What is the quotient of 12 divided by 4?
  • The quotient of 20 divided by 5 is 4.
Context #2 | Noun

finance

In finance, a quotient refers to the ratio between two financial variables, such as earnings per share or price to earnings ratio.

Synonyms

percentage, proportion, ratio.

Which Synonym Should You Choose?

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Word Description / Examples
quotients

Used in mathematics to denote the result of division.

  • The quotient of 10 divided by 2 is 5.
  • When you divide 27 by 3, the quotient is 9.
ratio

Expresses a relationship between two quantities, showing how many times one value fits into the other, often used in business and mathematics.

  • The ratio of students to teachers in this school is 20:1.
  • The mix should have a water to cement ratio of 1:3.
proportion

Describes a part, share, or number considered in comparative relation to a whole, often used in more general, non-mathematical contexts.

  • A large proportion of the community participated in the event.
  • The proportion of men to women in the workforce is almost equal.
percentage

Commonly used to express a number as a fraction of 100, often used in statistics, sales, and performance metrics.

  • She scored 85% on her exam.
  • The company saw a 10% increase in sales.

Examples of usage

  • The price to earnings quotient of the company is 15.
  • The earnings per share quotient has increased by 10%.

Translations

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

Interesting Facts

Mathematics

  • The term relates to division, where the quotient is the result of dividing two numbers.
  • In long division, the quotient can vary in size; for example, the quotient of 10 divided by 3 is 3 with a remainder of 1.
  • Quotients can also apply to algebra, where they help simplify expressions involving variables.

Education

  • Understanding quotients is crucial in early education, helping students grasp the basic concept of division.
  • Many curricula incorporate quotients in teaching fractions, as they illustrate parts of a whole.
  • Quotient calculations are used in real-world problems, from sharing items equally to calculating averages.

Psychology

  • The ability to calculate quotients can reflect cognitive skills such as logic and problem-solving.
  • Learning to understand quotients can help build confidence in mathematical abilities among students.
  • Some studies suggest that the way students conceptualize quotients affects their overall math performance.

Pop Culture

  • In television shows and movies, characters often discuss quotients to solve problems, adding a comedic or dramatic effect.
  • Popular math-themed games frequently challenge players to find quotients, making learning fun and interactive.
  • Quotients have been referenced in songs and poems, emphasizing the mathematical concepts in creative contexts.

Origin of 'quotients'

Main points about word origin

  • The word 'quotient' originates from the Latin word 'quot,' meaning 'how many.'
  • It was first used in English mathematics texts in the late 14th century as 'quotiens' which evolved into the modern terms we use today.
  • The suffix '-ent' in English indicates a state or quality, which reflects the nature of a result in mathematics.

The word 'quotient' originated from the Latin word 'quotiens', which means 'how many times'. It entered the English language in the late 16th century. The concept of division and quotients has been fundamental in mathematics for centuries, dating back to ancient civilizations such as the Egyptians and Babylonians.

Word Frequency Rank

At rank #25,625, this word represents specialized academic or technical vocabulary. It's less frequently encountered but may be valuable in specific contexts.