text: ###### Carl Horowitz
  
  University of Michigan
  Runs his own tutoring company
  
  Carl taught upper-level math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!
  
  #### Next video playing in 10
  
  Analyzing Data - Concept
  
  # Introduction to Real Numbers - Problem 1
  
  Carl Horowitz
  ###### Carl Horowitz
  
  University of Michigan
  Runs his own tutoring company
  
  Carl taught upper-level math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!
  
  Share
  
  The absolute value is probably something that you have seen before, and basically what it is is, the distance of whatever number, is in the absolute value is from zero. You probably think of it as, just the magical little bars that make something positive, which is one way of looking at it. But really, the technical definition is the distance of this number from zero.
  
  How we can write that is, the number inside is just the number, if your number is positive, and it’s the opposite, if your number is negative. The way you can sort of think about that is, the distance between two things is always positive. You don’t say, I’m 5feet away from you no matter where you, you say, you’re 5 feet away from something no matter where you are. You don’t say I’m negative 5 feet if you’re behind. The distance is always positive, so what you’re really doing is, taking the distance between 2 points; the point you’re looking at, and the origin. The absolute value say of 4, is 4 units. You’re 4 units from zero and the absolute value of negative 7, is just 7, because you’re really 7 units away.
  
  Technically, it does make everything positive, but if you really want to know the formal definition, it’s the distance form zero.
explanation: The text is an explanation of the concept of absolute value, provided by Carl Horowitz, a math tutor. It describes what absolute value is, how it works, and gives examples to illustrate the concept. The text does not contain a specific question or a question-and-answer format.
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: ###### Carl Horowitz
  
  University of Michigan
  Runs his own tutoring company
  
  Carl taught upper-level math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!
  
  #### Next video playing in 10
  
  Analyzing Data - Concept
  
  # Introduction to Real Numbers - Problem 1
  
  Carl Horowitz
  ###### Carl Horowitz
  
  University of Michigan
  Runs his own tutoring company
  
  Carl taught upper-level math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!
  
  Share
  
  The absolute value is probably something that you have seen before, and basically what it is is, the distance of whatever number, is in the absolute value is from zero. You probably think of it as, just the magical little bars that make something positive, which is one way of looking at it. But really, the technical definition is the distance of this number from zero.
  
  How we can write that is, the number inside is just the number, if your number is positive, and it’s the opposite, if your number is negative. The way you can sort of think about that is, the distance between two things is always positive. You don’t say, I’m 5feet away from you no matter where you, you say, you’re 5 feet away from something no matter where you are. You don’t say I’m negative 5 feet if you’re behind. The distance is always positive, so what you’re really doing is, taking the distance between 2 points; the point you’re looking at, and the origin. The absolute value say of 4, is 4 units. You’re 4 units from zero and the absolute value of negative 7, is just 7, because you’re really 7 units away.
  
  Technically, it does make everything positive, but if you really want to know the formal definition, it’s the distance form zero.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text is an explanation of the concept of absolute value, provided by Carl Horowitz, a math tutor. It describes what absolute value is, how it works, and gives examples to illustrate the concept. The text does not contain a specific question or a question-and-answer format.
  
  Label: no-question