Question

How do you simplify `-|3 - 7| + |-4 +5| + |-6 -2| - |3|`?

Answer 1

`-|3-7|+|-4+5|+|-6-2|-|3|=2`

Explanation:

If `a<0` i.e. `a` is negative then `|a|=-a`, and if `a>0` i.e. `a` is positive then `|a|=a`, meaning that when we take value of `|a|`, we just remove the sign and `|a|` is positive whether `a` is negative or positive.

Hence `-|3-7|+|-4+5|+|-6-2|-|3|`

= `-|-4|+|1|+|-8|-|3|`

= `-4+1+8-3`

Now adding positive and negative values separately, above is equal to

`9-7`

=`2`