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Division Defined Through Multiplication
publish date: 2026/05/23 08:46:49.005800 UTC
According to the formal definition in algebra, dividing a number \(a\) by a number \(b\) (where \(b \neq 0\)) means finding a number \(x\) such that: 1($)
Correct Answer
$b \cdot x = a$
Explanation
Division is formally defined in terms of multiplication: \(a \div b = x\) means \(b \cdot x = a\). This definition immediately shows why \(b = 0\) is prohibited — no value of \(x\) can satisfy \(0 \cdot x = a\) when \(a \neq 0\).
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012