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Which Division Properties Are Always True?

publish date2026/05/13 08:05:2.347076 UTC

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Select all statements that are always true.

Correct Answer

(1) \(n \div 1 = n\) for any whole number \(n\)
(2) \(n \div n = 1\) for any nonzero whole number \(n\)
(3) \(n \div 0\) is undefined for any nonzero \(n\)

Explanation

Three are always true. The false one: \(0 \div n = n\) is wrong — zero divided by any nonzero number is 0, not \(n\). So \(0 \div n = 0\) is the correct property.

Reference

Mathematics for college students


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