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 \(-10 \leq p < 2\) and \(0 \leq q < 7\), find

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

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Answer:(a) \(7\) (b) \(16\) (c) \(-60\) (d) \(6\) (e) \(0\) (f) \(136\)

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