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Commutative Property
 Two numberscan be added or multiplied in different orders.
 a+b=b+a, and ab=ba

Associative Property
Allows you to group numbers in different ways when multiplying or adding
(ab)c=a(bc) and (a+b)+c=a+(b+c)

Distributive Property
 Has to do with distributing multiplication over each term inside the parenthesis. According to this property a(bc)=abac
 a(b+c)=ab+ac

Identity Property
 For multiplication involves multiplying a number by 1, which does not change that number. In other words, 1*a=a*1=a.
 For addition involves adding 0 to a number, which does not change that number. In other words, a+0=0+a=a

Inverse Property
 For multiplication states that every nonzero number has a multiplicative inverse such that when the two are multiplied, the result is 1.
 a(1/a)=1
Similarly, every number has an additive inverse such that when the two are added, the result is 0. In other words, a+(a)=0

