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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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What property links multiplication and addition?
The set of integers is closed with respect to multiplication and with respect to addition.
What is the distributive property for addition?
Addition, by itself, does not have a distributive property. Multiplication has a distributive property over addition, according to which: a*(b + c) = a*b + a*c
What does distributive property mean in addition?
Addition, by itself, does not have a distributive property. Multiplication has a distributive property over addition, according to which: a*(b + c) = a*b + a*c
Which two operations can be used with the commutative property?
addition and multiplication
What property involves multiplying a sum by a number?
The distributive property of multiplication over addition.
