Algebra-1

The Associative Property of addition states that the way in which numbers are grouped in an addition problem does not change the sum. It can be expressed as: (a+b)+c=a+(b+c).

To identify which option illustrates the Associative Property of addition, we need to find the one where the grouping of numbers changes but the sum remains the same.

A. On the left side, 2 + ( 1 + 9) = 2 + 10 = 12. On the right side, (2 + 1) + 9 = 3 + 9 = 12. Both sides equal 12, and the grouping of numbers has changed, demonstrating the Associative Property.

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