SOLUTION: ok i am having a lil trouble with this cause i dont get this but here is that question
use the distributive property to rewrite each expression without pareenthese.
16. 2(1+w
Question 100690This question is from textbook intergrated mathematics
: ok i am having a lil trouble with this cause i dont get this but here is that question
use the distributive property to rewrite each expression without pareenthese.
16. 2(1+w)????
i do not get that This question is from textbook intergrated mathematics
You can put this solution on YOUR website! Before you can answer your question you need to know about the DISTRIBUTIVE LAW.
We will start by using NO algebra.
What is 5*6?
Yes, it's 30
Now what is 20+10?
Again it's 30.
So doesn't that mean that 5*6=20+10? (i)
Now think about the 20.
Isn't this 5*4? And the 10,isn't this 5*2?
So doesn't this mean that we can write (i) as: 5*6=5*4+5*2 instead of 5*6=20+10?
So we've now got 5*6=5*4+5*2 (ii)
Now think about the 6.
Doesn't 6=(4+2)?
So now we can write (ii) as: 5*(4+2)=5*4+5*2 instead of 5*6=5*4+5*2.
Now look carefully at what we've just written:
5*(4+2)=5*4+5*2
To DISTRIBUTE something is to spread it and that is exactly what we have done here.We have spread the multiplication by 5 over the 4 and the 2.
Put more simply:
YOU MULTIPLY EVERYTHING IN THE BRACKET BY WHATEVER IS IN FRONT OF THE BRACKET
(BUT REMEMBER whatever is in front has to be linked to the bracket by a times sign).
In algebra if we think of a,b and c as being numbers we can write the Distributive Law as:
a*(b+c)=a*b+a*c or a(b+c)= ab+ac
So we have removed the bracket by multiplying everything in the bracket by the number a.
So in your question we use the distributive property by multiplying everything in the bracket by 2.
So we get 2(1+w)=2*(1+w)=2*1+2*w.
We then simplify this so that 2*1+2*w= 2+2w.
So 2+2w is the answer (we cannot simplify any further because we cannot add unlike terms together).
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