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Algebraic Properties Definitions

August 26th, 2010 admin No comments

Easy Algebra homework that I can’t figure out (lol) and need help with?

I’m in 7th grade Algebra, and we learned about communitive, associative, and distributive properties… and I was tired and had skipped breakfast and it was first period so I really didn’t get anything they were saying :D So now I have homework that I really don’t know how to do :( I took notes… but I lost them (haha of course) so I’m supposed to say if all these ?s are distributive, etc, etc… and I don’t know how. could someone give me a definition of these three algebraic properties and an example… that’s pretty much what my notes were, and it would be really really helpful :D thank you!

Distributive is a(b + c) = ab + ac. Here you want to multiply the first number through the parenthesis or do factoring. Example is 2(x + y) = 2x + 2y. Here the 2 outside the parenthesis was “distributed” to the x and the y in the parenthesis.

Associative is a regrouping method
Addition is a + (b + c) = (a + b) + c. Example of this is 2 + (3 + 4) = (2 + 3) + 4
Multiplication is a(bc) = (ab)c. Example of this is 2(3*4) = (2*3)4

Commutative means that the numbers can be rearranged and you’ll get the same results. Forms are a + b = b + a for addition, and ab=ba for multiplication. Examples are 2 + 3 = 3 + 2 and 2(3) = 3(2).

Boolean Algebra: Properties involving 1 and 0