quotient

/'kwouʃənt/

Thân thiện

The teacher writes the quotient on the chalkboard.

Definition

1. Noun:
   • The result obtained when one number (the dividend) is divided by another (the divisor). In arithmetic, it is the number that results from the operation of division.
   • The ratio of two quantities. In a broader mathematical sense, it represents the value resulting from the division of one expression by another.

Examples of Usage

• Noun:
  • The quotient of 10 divided by 2 is 5.
  • To solve the problem, you must calculate the quotient.
  • In the equation 12 ÷ 3 = 4, the number 4 is the quotient.

Advanced Usage

• Intelligence Quotient (IQ): A score derived from standardized tests designed to assess human intelligence. The term uses "quotient" historically, as the score was originally calculated by dividing mental age by chronological age.
  • Her high intelligence quotient indicates exceptional cognitive abilities.
• Emotional Quotient (EQ): A measure of a person's emotional intelligence, or ability to understand and manage emotions.
  • Many employers now value emotional quotient as much as technical skills.
• "Quotient group" (Mathematics): In abstract algebra, a group constructed by partitioning a larger group into cosets of a normal subgroup.
  • Understanding quotient groups is fundamental to the study of group theory.

Variants and Related Words

• Quotient Ring (n): In ring theory, a ring formed by partitioning a ring by one of its ideals.
• Quotient Space (n): In topology and linear algebra, a space formed by identifying points in a given space according to an equivalence relation.

Synonyms

• Result (of division).
• Ratio.

Related Phrases and Idioms

• Quotient of suspicion: A medical term referring to the degree of suspicion a clinician has for a particular diagnosis.
  • The patient's symptoms raised the quotient of suspicion for a pulmonary embolism.

Học thuật

Noun

1. the number obtained by division
2. the ratio of two quantities to be divided