Distributive Property

[Cre8tive224]

I'm trying to help my 6th grade daughter work through a problem but I'm stuck. 8(2) + 12(2)=? I know how to do the problem like 5(10) + 5(9)=? alike numbers on the outside of the (). Can someone help me please
Thanks
Cre8tive224

 

[Denis]

I'm trying to help my 6th grade daughter work through a problem but I'm stuck. 8(2) + 12(2)=? I know how to do the problem like 5(10) + 5(9)=? alike numbers on the outside of the (). Can someone help me please Thanks Cre8tive224

8(2) simply means 8 times 2, so 16 .... OK?

 

[Cre8tive224]

Thanks for answering back, however I understand that 8(2) means 16. That is not where I'm stuck. On a regular Distributive Property it would look something like this

5(1) + 5(3)= 5(1+3)
5 + 15 = 5(4)
20 = 20
both sides equals 20.

however when you have something like

8(2) + 12(2)= (what goes on this side)
16 + 24 =
40

Thanks for all your help

 

[Guest]

What goes on the right hand side --- think of it just being the answer

8(2) + 12(2)= (what goes on this side)

8(2) + 12(2) = a where "a" is any letter that represents the answer

16 + 24 = a

40 = a

hope this helps

 

[ting]

5(1) + 5(3)= 5(1+3)
5 + 15 = 5(4)
20 = 20
both sides equals 20.

however when you have something like

8(2) + 12(2)= 2(8 + 12)
16 + 24 = 2(20)
40 = 40

Why not like this?

 

[Cre8tive224]

ok this makes sense to me but is it right?

 

[Gene]

The associative property makes it legal. Right depends on what is being taught. I like it better than
=4(4)+4(6)
which is the only other approach I see.