what are the differences between all the propertys for algebra 1

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Grade: Education Subject: mathematics
what are the differences between all the propertys for algebra 1
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there's a bunch of them!

Commutative property of multiplication and addition means a*b = b*a and a+b =b+a

associative property means a+b+c = a+c+b = c+a+b etc. and a*b*c =a*c*b etc

distributive property of multiplication over addition means a(b+c) = a*b+a*c or an+ac

there are others