list all properties in integers with identities.
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Integer Property Addition Subtraction
Associative
Property x + (y + z) = (x + y) +z (x – y) – z ≠ x – (y – z)
Identity Property x + 0 = x =0 + x x – 0 = x ≠ 0 – x
Closure Property x + y ∈ Z x – y ∈ Z
Distributive Property x × (y + z) = x × y + x × z x × (y − z) = x × y − x × z
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