What result do you find when you apply the associative property to addition?

What result do you find when you apply the associative property to addition?

• A. (A + B) + C = A + (B + C)
• B. A + C = B + A
• C. A + (B - C) = B - (A + C)
• D. (A x B) + C = A x (B + C)

Answer: (A)

The associative property of addition states that when three or more numbers are added, the way in which the numbers are grouped does not affect the sum. This means that if you have three numbers, let's call them A, B, and C, you can add them in any grouping. When applying the associative property, you can rearrange the parentheses in the expression without changing the outcome. For example, if you take (A + B) + C, you can regroup it to A + (B + C), and both expressions will equal the same total. This fundamental concept holds true for addition and is the basis for multiple permutations of grouping that still yield an identical sum. This option correctly illustrates the associative property of addition, showing that changing the grouping of the numbers does not change the result of their addition. The other options involve different properties or operations that do not align with the definition of the associative property related specifically to addition.

The associative property of addition states that when three or more numbers are added, the way in which the numbers are grouped does not affect the sum. This means that if you have three numbers, let's call them A, B, and C, you can add them in any grouping.

When applying the associative property, you can rearrange the parentheses in the expression without changing the outcome. For example, if you take (A + B) + C, you can regroup it to A + (B + C), and both expressions will equal the same total. This fundamental concept holds true for addition and is the basis for multiple permutations of grouping that still yield an identical sum.

This option correctly illustrates the associative property of addition, showing that changing the grouping of the numbers does not change the result of their addition. The other options involve different properties or operations that do not align with the definition of the associative property related specifically to addition.