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Vocabulary – Two Properties of Multiplication
publish date: 2026/05/10 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
