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What is an additive group?
An additive group is an abelian group when it is written using the + symbol for its binary operation.
What ia a additive identity?
The additive identity is 0. The identity in a mathematical operation is the value that when the operation is performed, does not change the original value of the other operand. The additive identity is the number that, when added to another number, returns a value equal to the other number.
What are operations undo each other or the additive inverse?
Inverse operations. Additive inverse is not one operation but they are elements of a set.
How is the additive inverse important?
It gives closure to the set of real numbers with regard to the binary operation of addition. This makes the set a ring. The additive inverse is used, sometimes implicitly, in subtraction.
What are additive adverse property?
The additive inverse means what undoes adding. The additive inverse of +1 is -1.
