Simple math question confusion.

[box]

Edit again-

Apparently both ways of solving works but the text book way is a bit confusing to me.

text book= 1-(2-3(1-2^3)
(8-1)=-7
=1 -(2-3(-7)
=3(-7)=-21

my way = 1-(2-3 (1-2^3)
= -3(-7) = 1-(2+21)

Now both ways give -22 as the final result.But I always thought that the integers own the sigh that comes before them,thus it should be -3(-7) not 3(-7) as my text book did.
Sorry this might be a bit confusing.

 

[Ishuda]

Edit again-

Apparently both ways of solving works but the text book way is a bit confusing to me.

text book= 1-(2-3(1-2^3)
(8-1)=-7
=1 -(2-3(-7)
=3(-7)=-21

my way = 1-(2-3 (1-2^3)
= -3(-7) = 1-(2+21)

Now both ways give -22 as the final result.But I always thought that the integers own the sigh that comes before them,thus it should be -3(-7) not 3(-7) as my text book did.
Sorry this might be a bit confusing.

There are two equivalent ways to look at 2-3(-7). The book apparently says subtract 3 times -7 which is subtracting the -21 so really add the positive 21. Or, you can add -3 times -7 which is to say add 21. Which ever way you are comfortable with unless you need to regurgitate the rule specifically.

 

[box]

Ah I see,thank you both dennis and ishuda for the insight.

 

[Steven G]

splitting the "thanks":
.75 * 100 = 75% for me, .25 * 100 = 25% for Ishuda :evil:

I thought that I would get a few % points for not saying anything. That's what I get for being good.

 

[Ishuda]

splitting the "thanks":
.75 * 100 = 75% for me, .25 * 100 = 25% for Ishuda :evil:

Oh, I'm sure you deserve more than that but I'll take what I can get.