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MMLU-Pro / 7890 / The set of all real numbers under the usual multiplication operation is not a…

Problem

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question

The set of all real numbers under the usual multiplication operation is not a group since

category

math

options

  1. multiplication is not associative
  2. negative numbers have no inverse
  3. the set of all real numbers is not finite
  4. multiplication is not a binary operation
  5. the distributive property does not hold
  6. identity element does not exist
  7. the set is not closed under multiplication
  8. multiplication is not commutative
  9. the operation is not well-defined
  10. zero has no inverse

src

ori_mmlu-abstract_algebra

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Source and history

Official source

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