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Definition – Unlike Signs Rule

publish date2026/05/05 20:36:16.692919 UTC

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The rule states: The quotient of two integers with different (unlike) signs is negative.

Select all expressions that have a negative quotient based on this definition.

Correct Answer

(1) \(-14 \div 7\)
(2) \(30 \div (-5)\)

Explanation

Unlike signs (one positive, one negative) → negative quotient:

  • \(-14 \div 7 = -2\) ✓ (negative ÷ positive)
  • \(30 \div (-5) = -6\) ✓ (positive ÷ negative)

Like signs → positive: \(-14 \div (-7) = 2\) and \(-30 \div (-5) = 6\).

Reference

Mathematics for college students


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