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Closure in practice

Exercise and reference answers

Questions
  1. Question
    Adding two rational numbers gives
    Choices
    1. always an integer
    2. a rational number
    3. an irrational number
    Correct choice
    a rational number
  2. Question
    Multiplying two rational numbers gives
    Choices
    1. always a whole number
    2. an irrational number
    3. a rational number
    Correct choice
    a rational number
  3. Question
    Closure under subtraction means
    Choices
    1. the difference is still rational
    2. the difference is positive
    3. the difference is an integer
    Correct choice
    the difference is still rational

Explanation

Closure means you never leave the set. Source: syllabus Maths, Ch 1 Rational Numbers.
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