text: # Verify the associative property of addition for the following sets of ratational numbers. a) 2/9,-1/3,-3/5?
  
  Answers (1)
  
  We know that associate property
  
  $(a + b) + c = a + (b+c) \\$
  
  then the number
  
  $\frac{2}{9}, \frac{-1}{3}, and \frac{-3}{5} \\$ check associate property hold or not
  
  $(\frac{2}{9} + \frac{-1}{3}) + \frac{-3}{5} = \frac{2}{9} + (\frac{-1}{3} + \frac{-3}{5}) \\ \frac{2-3}{9} -\frac{3}{5} = \frac{2}{9} -\frac{14}{15}\\ \frac{-1}{9} - \frac{3}{5} = \frac{10 - 42}{45}\\ \frac{-5 -27}{ 45} = \frac{-32}{45} \\ \frac{-32}{45} = \frac{-32}{45}\\$
  
  Hence, it satisfied  associates property of addition
  
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explanation: The document contains a math question and its corresponding answer. The question asks to verify the associative property of addition for a given set of rational numbers, and the answer provides a detailed step-by-step solution to demonstrate that the associative property holds true for the given numbers.
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: # Verify the associative property of addition for the following sets of ratational numbers. a) 2/9,-1/3,-3/5?
  
  Answers (1)
  
  We know that associate property
  
  $(a + b) + c = a + (b+c) \\$
  
  then the number
  
  $\frac{2}{9}, \frac{-1}{3}, and \frac{-3}{5} \\$ check associate property hold or not
  
  $(\frac{2}{9} + \frac{-1}{3}) + \frac{-3}{5} = \frac{2}{9} + (\frac{-1}{3} + \frac{-3}{5}) \\ \frac{2-3}{9} -\frac{3}{5} = \frac{2}{9} -\frac{14}{15}\\ \frac{-1}{9} - \frac{3}{5} = \frac{10 - 42}{45}\\ \frac{-5 -27}{ 45} = \frac{-32}{45} \\ \frac{-32}{45} = \frac{-32}{45}\\$
  
  Hence, it satisfied  associates property of addition
  
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distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and its corresponding answer. The question asks to verify the associative property of addition for a given set of rational numbers, and the answer provides a detailed step-by-step solution to demonstrate that the associative property holds true for the given numbers.
  
  Label: question-and-answer