Which property is defined by (a+b) + c = a + (b+c)?

Which property is defined by (a+b) + c = a + (b+c)?

• A. Distributive Law
• B. Associative Law for Addition
• C. Identity Law for Addition
• D. Commutative Law for Addition

Answer: (B)

The property defined by the equation (a+b) + c = a + (b+c) is known as the Associative Law for Addition. This law states that when adding three or more numbers, the way in which the numbers are grouped does not change the sum. In simpler terms, it does not matter how you parenthesize the numbers; the result will be the same. For example, if you take the numbers 2, 3, and 4, you can group them as follows: - (2 + 3) + 4 = 5 + 4 = 9 - 2 + (3 + 4) = 2 + 7 = 9 Both methods of grouping give a sum of 9, demonstrating the associative property in action. In contrast, the Distributive Law pertains to multiplication over addition, indicating how multiplication is distributed across terms in an addition expression. The Identity Law for Addition states that adding zero to any number does not change the number (n + 0 = n). The Commutative Law for Addition, on the other hand, states that changing the order of the numbers being added does not change the sum (a + b = b + a). Therefore,

The property defined by the equation (a+b) + c = a + (b+c) is known as the Associative Law for Addition. This law states that when adding three or more numbers, the way in which the numbers are grouped does not change the sum. In simpler terms, it does not matter how you parenthesize the numbers; the result will be the same.

For example, if you take the numbers 2, 3, and 4, you can group them as follows:

• (2 + 3) + 4 = 5 + 4 = 9

• 2 + (3 + 4) = 2 + 7 = 9

Both methods of grouping give a sum of 9, demonstrating the associative property in action.

In contrast, the Distributive Law pertains to multiplication over addition, indicating how multiplication is distributed across terms in an addition expression. The Identity Law for Addition states that adding zero to any number does not change the number (n + 0 = n). The Commutative Law for Addition, on the other hand, states that changing the order of the numbers being added does not change the sum (a + b = b + a).

Therefore,