The expression 8+(4+2)=(8+4)+2 demonstrates the associative property for which operation?

The expression 8+(4+2)=(8+4)+2 demonstrates the associative property for which operation?

• A. Subtraction
• B. Division
• C. Multiplication
• D. Addition

Answer: (D)

Grouping numbers when you add them doesn’t change the total. That idea is the associative property of addition. In the expression, you can first add 4 and 2 to get 6, then add 8 to get 14. Alternatively, you can first add 8 and 4 to get 12, then add 2 to get 14. Since both ways yield 14, the grouping doesn’t affect the result. This showcases addition’s associative property. Subtraction and division don’t behave the same way with regrouping—for example, 8−(4−2) isn’t equal to (8−4)−2—while multiplication shares this same regrouping rule, but the given example specifically demonstrates addition.

Grouping numbers when you add them doesn’t change the total. That idea is the associative property of addition. In the expression, you can first add 4 and 2 to get 6, then add 8 to get 14. Alternatively, you can first add 8 and 4 to get 12, then add 2 to get 14. Since both ways yield 14, the grouping doesn’t affect the result. This showcases addition’s associative property. Subtraction and division don’t behave the same way with regrouping—for example, 8−(4−2) isn’t equal to (8−4)−2—while multiplication shares this same regrouping rule, but the given example specifically demonstrates addition.