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Number sets and real numbers

Dynamic tasks on natural, integer, rational, irrational and real number sets, intervals and subsets.

Questions: 10Estimated time: 14 minutes
Number sets and real numbers
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Sample questions

  1. What is the smallest listed number set containing ___?
  2. What is the smallest listed set containing √___?
  3. What is the smallest listed set containing the fraction ___/___?
  4. Which inclusion relationship between number sets is correct?
  5. Does ___ belong to the interval [___, ___)?

Number sets and real numbers

Natural numbers form a subset of the integers, integers form a subset of the rational numbers, and rational together with irrational numbers form the real numbers. A rational number can be written as a/b, where a and b are integers and b ≠ 0.

Sets and intervals

A terminating or recurring decimal is rational, while numbers such as √2 and π are irrational. Interval brackets show whether an endpoint is included. Choose the smallest set containing a number, and distinguish membership ∈ from the subset relation ⊂.

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