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.)

Noun

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