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Match Each Property to Its Definition

publish date: 2026/05/10 01:12:8.257068 UTC

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Match each property of multiplication to its correct definition.

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Property

Commutative
Associative
Zero Property
Identity (Property of 1)

Definition

The product of any whole number and 1 is that whole number.
The way in which whole numbers are grouped does not change their product.
The product of any whole number and 0 is 0.
The order in which whole numbers are multiplied does not change their product.

Correct Answer

(1) Commutative,The order in which whole numbers are multiplied does not change their product.
(2) Associative,The way in which whole numbers are grouped does not change their product.
(3) Zero Property,The product of any whole number and 0 is 0.
(4) Identity (Property of 1),The product of any whole number and 1 is that whole number.

Explanation

Commutative: \(a \times b = b \times a\). Associative: \((a \times b) \times c = a \times (b \times c)\). Zero: \(a \times 0 = 0\). Identity: \(a \times 1 = a\).

Reference

Mathematics for college students

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