Yes. The additive identity is always commutative - even in sets with binary operations that are not otherwise commutative.
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The fact that 0 is the additive identity over for integers or rationals or reals.
If the numbers in an arithmetic problem can be rearranged to make the same result, then this is called the "commutative property" - in this case, as a multiplication sum, the commutative property of multiplication.
The commutative property of addition.
The identity property is when a factor in an multiplication problem keeps its identity for example= eight times one equals eight (the eight keeps its identity)
There is no commutative property of division. Commutative means to exchange places of numbers. If you exchange the place of numbers in a division problem, you would affect the answer. So, commutative property applies only to addition or multiplication.Not really; for example, 2/1 = 2, and 1/2 = 0.5. However, you can convert any division into a multiplication, and apply the commutative property of multiplication. For example, 6 / 3 = 6 x (1/2), which is the same as (1/2) x 6.