text: # Integers
  
  With natural numbers, it is not possible to operate when the minuend is smaller than the subtrahend, but in life there are such operations.
  
  For example, the need to represent owed money , temperature below zero and depths with respect to sea level.
  
  The previous examples require us to expand the concept of natural numbers and introduce a new numerical set called integers.
  
  A set of integers is formed by:
  
  = {...−5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5 ...}
  
  That is, the natural numbers, their opposites (negative) and the zero. They are divided into three parts: positive integers or natural numbers, negative integers and zero.
  
  Since the integers contain the positive integers, the natural numbers are a subset of integers.
  
  ## Absolute Value of an Integer
  
  The absolute value of an integer is a natural number that is obtained after the sign is removed from the integer.
  
  The absolute values are written between vertical bars.
  
  |−5| = 5
  
  |5| = 5
  
  ## Representation of Integers
  
  1. In a horizontal line, take any point that is designated as zero.
  
  2. In equal distances to the right of zero are the positive numbers: 1, 2, 3,...
  
  3. In equivalent distances to the left of zero are the negative numbers: −1, −2, −3, ...
explanation: The provided text is an educational excerpt that introduces the concept of integers, including their definition, the set of integers, and the absolute value of integers. It also explains how integers are represented on a number line. The text does not contain any specific question or question-and-answer pair.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Integers
  
  With natural numbers, it is not possible to operate when the minuend is smaller than the subtrahend, but in life there are such operations.
  
  For example, the need to represent owed money , temperature below zero and depths with respect to sea level.
  
  The previous examples require us to expand the concept of natural numbers and introduce a new numerical set called integers.
  
  A set of integers is formed by:
  
  = {...−5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5 ...}
  
  That is, the natural numbers, their opposites (negative) and the zero. They are divided into three parts: positive integers or natural numbers, negative integers and zero.
  
  Since the integers contain the positive integers, the natural numbers are a subset of integers.
  
  ## Absolute Value of an Integer
  
  The absolute value of an integer is a natural number that is obtained after the sign is removed from the integer.
  
  The absolute values are written between vertical bars.
  
  |−5| = 5
  
  |5| = 5
  
  ## Representation of Integers
  
  1. In a horizontal line, take any point that is designated as zero.
  
  2. In equal distances to the right of zero are the positive numbers: 1, 2, 3,...
  
  3. In equivalent distances to the left of zero are the negative numbers: −1, −2, −3, ...
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text is an educational excerpt that introduces the concept of integers, including their definition, the set of integers, and the absolute value of integers. It also explains how integers are represented on a number line. The text does not contain any specific question or question-and-answer pair.
  
  Label: no-question