integer

/'intidʤə/

Thân thiện

An integer is written on the chalkboard in a math lesson.

Definition

1. Noun:
   • A whole number: An integer is any number that is not a fraction; it is a whole number that can be positive, negative, or zero.
   • A complete entity: In a broader, less common sense, an integer can refer to something complete or whole in itself.

Usage Examples

• Noun:
  • The numbers -1, 0, 5, and 100 are all integers.
  • In programming, you often declare a variable as an integer to store whole numbers.
  • (Less common) The collection was preserved as an integer, with no parts missing.

Advanced Usage

• "Signed integer": An integer that can be positive or negative, including zero.
  • The data type 'int' in C++ typically represents a signed integer.
• "Integer division": A division operation where the fractional part of the result is discarded, yielding an integer quotient.
  • In many programming languages, 7 divided by 2 using integer division equals 3.

Variants and Related Words

• Integral (adj): Necessary to make a whole complete; also relating to an integer or integers.
  • She is an integral part of the team.
  • The integral value of the function was calculated.
• Integrity (noun): The quality of being whole and undivided; moral soundness.
  • The structural integrity of the building was compromised.
  • He is a man of great personal integrity.

Synonyms

• Whole number: A number without fractions; an integer.
• Counting number: Typically refers to positive integers (1, 2, 3...), excluding zero.

Related Phrases

• "Integer sequence": An ordered list of integers.
  • The Fibonacci sequence is a famous integer sequence.
• "Integer overflow": An error that occurs when an arithmetic operation attempts to create a numeric value outside the range that can be represented with a given number of digits.
  • The program crashed due to an integer overflow.

Related Idioms

(Note: There are no common idioms directly based on the word "integer." Its usage is primarily technical and mathematical.)

Học thuật

Noun

1. any of the natural numbers (positive or negative) or zero
   • an integer is a number that is not a fraction

Từ đồng nghĩa

• whole number