Which identity results in zero when asked about its additive inverse?

Which identity results in zero when asked about its additive inverse?

• A. Identity
• B. Absorption
• C. Null
• D. Additive

Answer: (D)

The correct choice refers to the additive identity, which is the number zero. The additive inverse of a number is what you would add to that number to get zero. In terms of the additive identity, it serves as the neutral element in addition—adding zero to any number does not change the value of that number. When considering the additive identity itself, when you then ask about its inverse, it is indeed zero, since 0 + 0 = 0. This is a fundamental concept in arithmetic and represents how every number, when summed with its opposite, results in zero, thereby solidifying the role of zero as the additive identity. The context of the question is fundamentally about understanding how these identities work within addition and subtraction. Therefore, the additive identity is a crucial concept because it reflects the foundational rules of arithmetic, where zero plays a role as a balancing element, making it the one true identity that results in zero when paired with its inverse.

The correct choice refers to the additive identity, which is the number zero. The additive inverse of a number is what you would add to that number to get zero. In terms of the additive identity, it serves as the neutral element in addition—adding zero to any number does not change the value of that number.

When considering the additive identity itself, when you then ask about its inverse, it is indeed zero, since 0 + 0 = 0. This is a fundamental concept in arithmetic and represents how every number, when summed with its opposite, results in zero, thereby solidifying the role of zero as the additive identity.

The context of the question is fundamentally about understanding how these identities work within addition and subtraction. Therefore, the additive identity is a crucial concept because it reflects the foundational rules of arithmetic, where zero plays a role as a balancing element, making it the one true identity that results in zero when paired with its inverse.