Name the property involved in the following examples

Role of zero/additive identity:
0 is the additive identity for rational numbers, i.e. if 'a' is any rational number then
a + 0 = a = 0 + a
0 is the additive identity for rational numbers, i.e. if 'a' is any rational number then
a + 0 = a = 0 + a
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