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Match Each Division Property to Its Rule

publish date: 2026/05/13 08:04:59.266507 UTC

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Match each property situation to the correct rule.

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Situation

Any whole number ÷ 1
Any nonzero number ÷ itself
0 ÷ any nonzero number
Any nonzero number ÷ 0

Rule

= 0
= 1
Undefined
= that number

Correct Answer

(1) Any whole number ÷ 1,= that number
(2) Any nonzero number ÷ itself,= 1
(3) 0 ÷ any nonzero number,= 0
(4) Any nonzero number ÷ 0,Undefined

Explanation

\(n \div 1 = n\). \(n \div n = 1\). \(0 \div n = 0\). \(n \div 0 =\) undefined. These four properties govern every possible combination of 0 and 1 with a divisor or dividend.

Reference

Mathematics for college students

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