Reciprocals

Explore Reciprocals.

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

  • Alpha textbook: Reciprocals of fractions, Ex 8.03, pg 122
  • CorbettMaths on reciprocalsQuestions PDF · Answers

Terminology

  • reciprocal
  • fraction
  • numerator
  • denominator
  • whole number
  • multiplicative inverse

Task goals

  • Find the reciprocal of a fraction by swapping the numerator and denominator.
  • Write a whole number as a fraction before finding its reciprocal.
  • Check whether two given numbers or fractions are reciprocals of each other.
  • Compare the reciprocals of two numbers to determine which is greater.
  • Work backwards from a given reciprocal to find the original number or fraction.
  • Explain, using the product of a number and its reciprocal, why a number and its reciprocal switch places above and below the fraction bar.

Key skills

  • Reciprocals
  • Multiplicative inverse

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included