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Select all the valid Division Sign Cases

publish date2026/05/05 20:36:16.975506 UTC

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Correct Answer

(1) Negative ÷ Positive = Negative
(2) Positive ÷ Positive = Positive
(3) Positive ÷ Negative = Negative
(4) Negative ÷ Negative = Positive

Explanation

There are four cases in this order:

  1. Positive ÷ Positive = Positive (from prior experience)
  2. Negative ÷ Negative = Positive (e.g. \(-12 \div (-2) = 6\))
  3. Positive ÷ Negative = Negative (e.g. \(12 \div (-2) = -6\))
  4. Negative ÷ Positive = Negative (e.g. \(-12 \div 2 = -6\))

Cases 1 and 2 share like signs → positive. Cases 3 and 4 share unlike signs → negative.

Reference

Mathematics for college students


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