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Vocabulary – Two Properties of Multiplication

publish date2026/05/10 11:32:54.524010 UTC

Fill in the two property names:

The (1) property of multiplication states that the order in which whole numbers are multiplied does not change their product.

The (2) property of multiplication states that the way in which whole numbers are grouped does not change their product.

Please drag and drop the selected option in the right place or type it instead
commutative
associative

Correct Answer

(1) commutative
(2) associative

Explanation

Commutative: order doesn't matter → \(7 \times 5 = 5 \times 7\).
Associative: grouping doesn't matter → \((2 \times 3) \times 5 = 2 \times (3 \times 5)\).

Reference

Mathematics for college students


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