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Properties of Multiplication Match

publish date2026/05/04 20:05:16.095924 UTC

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Match each multiplication property to its correct mathematical definition.

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Properties

Commutative Property
Associative Property
Multiplication Property of 0
Multiplication Property of 1

Definitions

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

Correct Answer

(1) Commutative Property,The order in which integers are multiplied does not change their product.
(2) Associative Property,The way in which integers are grouped does not change their product.
(3) Multiplication Property of 0,The product of any integer and 0 is 0.
(4) Multiplication Property of 1,The product of any integer and 1 is that integer.

Explanation

These properties define the rules for multiplying integers:

  1. Commutative: Order doesn't matter (e.g., \(a \times b = b \times a\)).
  2. Associative: Grouping doesn't matter (e.g., \((a \times b) \times c = a \times (b \times c)\)).
  3. Zero Property: Anything times zero is zero.
  4. Identity Property (1): Anything times one remains itself.

Reference

go-math-science.com


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