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Is Division Commutative?

publish date2026/05/10 21:13:13.409704 UTC

volume_mute

Multiplication is commutative: \(3 \times 4 = 4 \times 3\). Is division also commutative? Evaluate both sides:

\(12 \div 4 \quad\text{vs}\quad 4 \div 12\)

Correct Answer

No — 12 ÷ 4 = 3, but 4 ÷ 12 ≠ 3.

Explanation

Division is not commutative. \(12 \div 4 = 3\), but \(4 \div 12\) does not equal a whole number. Changing the order of dividend and divisor changes the result.

Reference

go-math-science.com


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