Distributive Property Question.

[Sierra]

I'm in Algebra I, and I'm not sure on what the answer would be to this problem with the distributive property.

"Should the distributive property be a property of multiplication, addition, or both? Explain."

Honestly, properties aren't my strong point. I'm not sure how to solve this. I know it's a property of addition, and I believe it's a property of multiplication. So I'm leaning towards saying both, but I don't know how I would explain/back it up with facts. Any help would be appreciated. Thanks!

 

[Yogi]

Distributive property of multiplication over addition is a*(b+c) = a*b+ a*c

Does distributive property of addition over addition work? a+(b+c) = (a+b) + (a+c)
Does distributive property of addition over multiplication work? a+(b*c)= (a+b)*(a+c)

Make up some examples and find out.

 

[Sierra]

Thanks for the help!