volume_mute

Classify: Division of 0, Division by 0, or Neither

publish date2026/05/07 19:46:52.798797 UTC

volume_mute

Drag each expression into the correct category.

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Correct Answer

(1) \(\dfrac{0}{-9}\),Division of 0 → Quotient is 0
(2) \(\dfrac{-9}{0}\),Division by 0 → Undefined
(3) \(\dfrac{0}{15}\),Division of 0 → Quotient is 0
(4) \(0 \div (-3)\),Division of 0 → Quotient is 0
(5) \(\dfrac{-7}{0}\),Division by 0 → Undefined
(6) \(\dfrac{-7}{-1}\),Neither (normal division)

Explanation

Division of 0 (numerator is 0, denominator is nonzero) → quotient is always 0: \(\frac{0}{-9}\), \(\frac{0}{15}\), \(0 \div (-3)\).

Division by 0 (denominator is 0, numerator is nonzero) → undefined: \(\frac{-9}{0}\), \(\frac{-7}{0}\).

Normal division: \(\frac{-7}{-1} = 7\) (like signs → positive).

Reference

go-math-science.com


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