Is "additive inverse" the same as "additive identity"?

Thank you! :-)

No, the additative identity is the number 0, which has the property that adding it to another number leaves the number unchanged. So:

x + 0 = x

No, the terms "additive inverse" and "additive identity" are not the same.

The concept of "additive inverse" refers to a number that, when added to another number, produces zero. For example, the additive inverse of 4 is -4, because 4 + (-4) = 0. Similarly, the additive inverse of -7 is 7, because -7 + 7 = 0. In general, the additive inverse of any number 'x' is represented as '-x'.

On the other hand, the "additive identity" refers to a number that, when added to any other number, leaves that number unchanged. The additive identity is always zero. So, for any number 'a', a + 0 = a.

To summarize, the additive inverse of a number is the value that, when added to the number, gives zero, while the additive identity is the value that, when added to any number, doesn't change its value and is always zero.