# Thread: Is this factoring or something?

1. ## Is this factoring or something?

I honestly don't know what this is but I think it relates to factoring

I have a problem

9 - [(2-6) + (3-17)]

But how?

2. $\displaystyle 9 - [(2-6) + (3-17)]$=
$\displaystyle 9-[-4+(-14)]$
$\displaystyle 9--18$
$\displaystyle 9+18=27$

edit: distributive property

3. 9-[(2-6)+(3-17)]

9-[(-4)+(-14)]

9-[-18]

distribute the negative

9+18 = 27

4. Originally Posted by SSK
I honestly don't know what this is but I think it relates to factoring

I have a problem

9 - [(2-6) + (3-17)]

But how?
If you like, you can think in terms of temperature.

If it was $\displaystyle 2^o$ and the temperature dropped by $\displaystyle 6^o$ then it will have fallen to $\displaystyle -4^o$

If it was $\displaystyle 3^o$ and it fell by $\displaystyle 17^o$,
it would be $\displaystyle -14^o$

$\displaystyle 9-[(2-6)+(3-17)]=9-[-4+-14]$

$\displaystyle -4$ means "subtract" 4
$\displaystyle -4+-14$ means "subtract" 4 and "subtract" 14.
That's subtract 18 altogether.

$\displaystyle 9-[-18]$ means "do the opposite" of subtract 18 from 9,
and since subtraction is the opposite of addition,
addition is the opposite of subtraction, then 9--18 is 9+18.

To get the hang of things, you can think that way.

5. -- is + because

If you take a positive # c

c

and you subtract a negitive number d

c-(-d)=r

You are taking away a bit less than nothing.
And if you are taking away less than nothing r must be moving further from nothing.

Like owning money.

I owe 5$and someone subtracts 4 dollars from my debt, now I owe 1$
I.E.
-5--4=-1

idk if that helps just trying to put usefull info out there