To determine the value of the expression [tex]\( |5| - |-5| - (-5) \)[/tex], we'll break it down step-by-step, making sure to interpret each mathematical symbol appropriately.
### Step-by-Step Solution:
1. Absolute Value Operations:
- The absolute value of a number is its distance from zero on the number line, disregarding any negative sign.
- Calculate [tex]\( |5| \)[/tex]:
[tex]\[
|5| = 5
\][/tex]
- Calculate [tex]\( |-5| \)[/tex]:
[tex]\[
|-5| = 5
\][/tex]
2. Substitute Absolute Values into the Expression:
Now, replace the absolute values in the original expression:
[tex]\[
5 - 5 - (-5)
\][/tex]
3. Simplify Subtraction and Negative Signs:
- First, simplify [tex]\( 5 - 5 \)[/tex]:
[tex]\[
5 - 5 = 0
\][/tex]
- Next, subtract [tex]\(-5\)[/tex]:
[tex]\[
0 - (-5)
\][/tex]
- Subtracting a negative number is equivalent to adding its positive counterpart:
[tex]\[
0 - (-5) = 0 + 5 = 5
\][/tex]
### Final Answer:
The value of the expression [tex]\( |5| - |-5| - (-5) \)[/tex] is:
[tex]\[
5
\][/tex]
