Which property states that changing the grouping of terms in a sum or product does not change the result?

The property that states changing the grouping of terms in a sum or product does not change the result is known as the Associative Property. This property applies to both addition and multiplication, emphasizing that when you group numbers differently, the sum or product remains the same.

For example, in addition, if you have three numbers such as 2, 3, and 4, the grouping can be done in two different ways: (2 + 3) + 4 or 2 + (3 + 4). In both cases, the result will be 9, demonstrating that the way the numbers are grouped does not affect the total.

Similarly, for multiplication, if you take the numbers 2, 3, and 4, you can compute (2 × 3) × 4 or 2 × (3 × 4), and you will arrive at the same product of 24 regardless of how the numbers are grouped.

This contrasts with other properties, such as the Commutative Property, which focuses on the order of numbers, or the Identity Property, which involves a number and zero (for addition) or one (for multiplication), and the Inverse Property, which deals with pairs of numbers that result in the identity