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Division by Zero — Case 1
publish date: 2026/05/23 08:46:47.036768 UTC
volume_mute
Consider the expression \(\frac{a}{0}\) where \(a \neq 0\). Division is defined as finding \(x\) such that \(0 \cdot x = a\). What is the result?
Correct Answer
There is no such number \(x\) — the expression is meaningless
Explanation
If \(b = 0\) and \(a \neq 0\), we need \(0 \cdot x = a\). But any number multiplied by 0 gives 0, never a nonzero \(a\). So no such \(x\) exists, and \(a/0\) is meaningless.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012