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Sign Rules: Match Operation to Result

publish date: 2026/05/23 08:46:48.733967 UTC

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Match each operation involving signed numbers to the correct sign of its result.

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  2. Click on the match in the second group

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Operation

Negative ÷ Negative
Positive × Negative
Negative × Negative
Positive × Positive

Sign of Result

Always Positive
Always Negative

Correct Answer

(1) Negative ÷ Negative,Always Positive
(2) Positive × Negative,Always Negative
(3) Negative × Negative,Always Positive
(4) Positive × Positive,Always Positive

Explanation

Sign rules: (−) ÷ (−) = (+), (+) × (−) = (−), (−) × (−) = (+), (+) × (+) = (+). These rules are not arbitrary conventions but are logically necessary for algebraic equations to have consistent solutions.

Reference

Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012

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