# Math Help - Simplifying

1. ## Simplifying

Hey guys, I don't understand how to simplify these problems, since they are different from what i've seen before.

-|4.2| I don't even know what to do with this.

|12 - 16| I thought it was -4, but my friend told me it was actually 4.

|-7/6| Again I don't know how to do this

Also just another question is -√2 a positive number?

2. op out...
something happened to my latex...

3. Anything inside the absolute value has a negative chopped off, it forces the number to be positive.

therefore $\displaystyle |12-16| = |-4|= 4$

$\displaystyle \left|\frac{-7}{6}\right| = \frac{7}{6}$

Have a look at this

$\displaystyle |-5| = 5$

$\displaystyle -|5| = -5$

$\displaystyle -|-5| = -5$