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The properties of addition are:

* communicative: a + b = b + a

* associative: a + b + c = (a + b) + c = a + (b + c)

* additive identity: a + 0 = a

* additive inverse: a + -a = 0

The properties of multiplication:

* communicative: a × b = b × a

* associative: a × b × c = (a × b) × c = a × (b × c)

* distributive: a × (b + c) = a × b + a × c

* multiplicative identity: a × 1 = a

* multiplicative inverse: a × a^-1 = 1

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Q: What are the property of addition and multiplication?
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