volume_mute
Definition – Like Signs Rule
publish date: 2026/05/05 20:36:16.427338 UTC
volume_mute
The rule states: The quotient of two integers with the same (like) signs is positive.
Select all expressions that have a positive quotient based on this definition.
Correct Answer
(1) \(-36 \div (-9)\)
(2) \(-63 \div (-7)\)
Explanation
Like signs (both negative or both positive) → positive quotient:
- \(-36 \div (-9) = 4\) ✓ (both negative)
- \(-63 \div (-7) = 9\) ✓ (both negative)
Unlike signs → negative quotient: \(36 \div (-9) = -4\) and \(-63 \div 7 = -9\).
Reference
Mathematics for college students