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Why Division by Zero Is Undefined

PR
Onyx CohenTeacher Tier
@author · 2026-08-26 · v1
7 min read
If
a/0=xa / 0 = x
, then
a=0×x=0a = 0 \times x = 0
, which fails for any
a≠0a \neq 0
. For
a=0a = 0
, any
xx
works, so the result is indeterminate, not unique. Division by zero breaks arithmetic consistency, which is why it's undefined rather than 'infinity'.
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Chloe S.
16 days ago
Bookmarked. Coming back to this before the exam.
Ravi P. Teacher
16 days ago
Glad it's useful. Planning a follow-up on the edge cases.
Elena M.
16 days ago
I was about to give up on this topic — you saved my afternoon.
Elena M.
16 days ago
The step-by-step is what makes this work. Most explanations skip that.