Which property states that regrouping numbers in the same order does not change the sum?

Which property states that regrouping numbers in the same order does not change the sum?

• A. Associative Property
• B. Commutative Property
• C. Distributive Property
• D. Identity Property

Answer: (A)

Regrouping numbers in the same order without changing the sum is the associative property of addition. It says you can group three numbers differently when adding and still get the same total: (a + b) + c = a + (b + c). For example, 2 + 3 + 4 can be grouped as (2 + 3) + 4 = 5 + 4 = 9 or 2 + (3 + 4) = 2 + 7 = 9. The other properties describe different ideas: swapping order changes the sum is the commutative property, multiplying a sum and distributing over addends is the distributive property, and adding zero or multiplying by one leaves the number unchanged is the identity property.

Regrouping numbers in the same order without changing the sum is the associative property of addition. It says you can group three numbers differently when adding and still get the same total: (a + b) + c = a + (b + c). For example, 2 + 3 + 4 can be grouped as (2 + 3) + 4 = 5 + 4 = 9 or 2 + (3 + 4) = 2 + 7 = 9. The other properties describe different ideas: swapping order changes the sum is the commutative property, multiplying a sum and distributing over addends is the distributive property, and adding zero or multiplying by one leaves the number unchanged is the identity property.