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Why:

(1*1-1)*(-1) is equal to 2 and 0?
I mean, when I solve the "parentheses" first, the product is:

(1*1-1)*(-1) = (1-1)*(-1) = (0)*(-1) = 0

But, if use the distributive property the product change to this:

(1*1-1)*(-1) = (-1)*(-1)+1 = 2

What is wrong?! Where is the problem? (or a solution xD)

If I solve like this, the multiplication in the parentheses first then the distributive property, the product seems equal to 0:

(1*1-1)*(-1) = (1-1)*(-1) = (-1)+1 = 0

So.... Does the distributive property only works with addition and subtraction??
If yes....
How do I find this product? :
(a*b*c)*3
I mean.. There's a "distributive property" for multiplication?

Thanks!

(sorry for the english.. i'm not fluent >.<)

 Sep 25, 2014

Best Answer 

 #2
avatar+118658 
+5

Hi MrDavi275,

 

 

So.... Does the distributive property only works with addition and subtraction??

YES  IT IS ONLY FOR ADDITION AND SUBTRACTION!!

yours (incorrect)

(1*1-1)*(-1) = (-1)*(-1)+1 = 2

 

mine

(1*1-1)*(-1) =(1-1)*(-1)

NOW  you can use the distributive property 

(1-1)*(-1)

=1*(-1) -1*(-1)

= -1--1

=-1+1

=0

 Sep 26, 2014
 #1
avatar+23251 
+5

Your "parentheses" first solution is correct.

However, there is a mistake in the your solution using the distributive property.

(1*1 - 1) * (-1)

Multiply the -1 times the first term 1*1

keep the subtraction sign where it is

and multiply the -1 times the second term 1.

This becomes: (1 * 1 * -1) - (1 * -1)

which is    ( -1 ) - (-1 )

which is    -1 + 1 = 0.

When you multiply a*b*c by 3, just use the 3 only once: answer: 3*a*b*c.

In your problem, when you multiplied 1*1 * -1, you used the -1 twice; don't do that; use it only once; therefore 1*1*-1 = -1*1*1 = -1.

 Sep 25, 2014
 #2
avatar+118658 
+5
Best Answer

Hi MrDavi275,

 

 

So.... Does the distributive property only works with addition and subtraction??

YES  IT IS ONLY FOR ADDITION AND SUBTRACTION!!

yours (incorrect)

(1*1-1)*(-1) = (-1)*(-1)+1 = 2

 

mine

(1*1-1)*(-1) =(1-1)*(-1)

NOW  you can use the distributive property 

(1-1)*(-1)

=1*(-1) -1*(-1)

= -1--1

=-1+1

=0

Melody Sep 26, 2014

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