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Addition, Subtraction, Multiplication, and Division involving Negative Numbers

Addition, Subtraction, Multiplication, and Division involving Negative Numbers

TGM Original Questions

Given that \(p\) and \(q\) are integers such that \(-8 < p \leq 5\) and \(-3 \leq q < 3\), find

  1. the greatest possible value of \(p + q\),
  2. the greatest possible value of \(p - q\),
  3. the smallest possible value of \(p + q\),
  4. the smallest possible value of \(p - q\),
  5. the greatest possible value of \(pq\),
  6. the smallest possible value of \(p^2 + q^2\).

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Answer:(a) \(7\) (b) \(8\) (c) \(-10\) (d) \(-9\) (e) \(21\) (f) \(0\)

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