0
The discovery of the noble gases led to the addition of the group 0, which is also designated as group 18/VIIIA.
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What is the identity element for addition?
Zero.
The identity element for addition is 1?
No. The identity for addition is zero; the identity for multiplication is one.
What is the identity element for addition and subtraction?
0, zero, is defined as the identity element for addition and subtraction. * * * * * While 0 is certainly the identity element with respect to addition, there is no identity element for subtraction. The identity element of a set, for a given operation, must commute with every element of the set. Since a - 0 ≠ 0 - a, according to group theory, 0 is not an identity with respect to subtraction.
What property of addition states when you add zero the number stays the same?
zero property of addition
Why is zero not an identity element in subtraction?
If you subtract zero, you get the original number back.The reason it is not usually considered the "identity element of subtraction" is that the base operations are addition and multiplication - subtraction and division are simply the inverse operations to addition, and multiplication, respectively. When defining numbers in an axiomatic system, the emphasis is on those base operations.
