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Division by Zero — Case 2: 0/0

publish date: 2026/05/23 08:46:47.317106 UTC

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If division by zero were permitted, what would \(\frac{0}{0}\) represent?

Correct Answer

Any number whatsoever — it is indeterminate

Explanation

If \(0 \cdot x = 0\), then any \(x\) satisfies this equation. So \(0/0\) would equal every number simultaneously, implying all different numbers are equal — an absurd result. This is why \(0/0\) is indeterminate and division by zero is not permitted.

Reference

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

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