The problem asks to calculate the values of the following expressions: a) $ |-2| $ b) $ |-8| $ c) $ -|3| $ d) $ |-3+0| $ e) $ -|-1-2| $

1. Problem Description

The problem asks to calculate the values of the following expressions:

a) $|-2|$

b) $|-8|$

c) $-|3|$

d) $|-3+0|$

e) $-|-1-2|$

2. Solution Steps

a) The absolute value of -2 is

2. Therefore, $ |-2| = 2 $.

b) The absolute value of -8 is

8. Therefore, $ |-8| = 8 $.

c) The absolute value of 3 is

3. The problem asks for the negative of the absolute value of

3. Therefore, $ -|3| = -3 $.

d) $|-3+0| = |-3|$. The absolute value of -3 is

3. Therefore, $ |-3+0| = 3 $.

e) First, simplify the expression inside the absolute value: $-1-2 = -3$.

Then, take the absolute value of -3, which is

3. Finally, take the negative of the result: $-|{-3}| = -3$.

Therefore, $-|-1-2| = -3$.

3. Final Answer

a) 2

b) 8

c) -3

d) 3

e) -3