Prompt 4: Intergerizing the Denominator

  1. Would you use the term in the prompt even if textbooks or exams do not?
  2. Does decimal division work in a similar way?
  3. In regards to fraction division, do you justify the equivalent calculation of multiplying by a reciprocal in this way? Do you think it’s important to justify? If so, when would the justification happen? Would you assess a justification in a unit test?
  4. How do you explain why we would bother to rationalise the denominator? Is it an opportunity to discuss the history of mathematics, or is it a technique that is isolated with no obvious application or reason?

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