What does the associative property tell us about addition and multiplication?

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Multiple Choice

What does the associative property tell us about addition and multiplication?

Explanation:
The associative property tells us we can regroup numbers when adding or multiplying and still get the same result. For addition, (a + b) + c equals a + (b + c); for multiplication, (a × b) × c equals a × (b × c). The order of the numbers isn’t in question here—that’s a different idea called the commutative property, where a + b equals b + a. The idea about having to rearrange numbers isn’t what associative is about, and the distributive property (multiplication over addition) is a separate rule, not about regrouping. So the key point is that grouping or parenthesizing can change without changing the outcome for both addition and multiplication.

The associative property tells us we can regroup numbers when adding or multiplying and still get the same result. For addition, (a + b) + c equals a + (b + c); for multiplication, (a × b) × c equals a × (b × c). The order of the numbers isn’t in question here—that’s a different idea called the commutative property, where a + b equals b + a. The idea about having to rearrange numbers isn’t what associative is about, and the distributive property (multiplication over addition) is a separate rule, not about regrouping. So the key point is that grouping or parenthesizing can change without changing the outcome for both addition and multiplication.

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