Which property indicates that the way numbers are grouped does not affect the product when multiplying?

Prepare for the Praxis Pennsylvania Grades 4–8 Core Assessment. Study using flashcards and multiple choice questions, each with hints and explanations. Success awaits!

The Associative Property is the correct choice because it specifically refers to the ability to group numbers in different ways when performing multiplication (or addition) without affecting the overall product (or sum). For example, when multiplying the numbers 2, 3, and 4, both (2 × 3) × 4 and 2 × (3 × 4) will yield the same result of 24. This property essentially illustrates that the relationships between the numbers remain unchanged regardless of how they are grouped during multiplication.

In contrast, the Commutative Property deals with the order of the numbers rather than their grouping, meaning it states that the product remains the same regardless of the order of the factors. The Distributive Property involves distributing a multiplication over addition or subtraction, such as a(b + c) = ab + ac, which does not speak to how numbers are grouped but rather how they can be combined. The Additive Inverse relates to the principle that a number plus its inverse (or negative) equals zero, which is unrelated to the grouping or order of multiplication.

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