To solve the given expressions, let's evaluate each one step-by-step:
### Expression 1: [tex]\( 5 - 5 \)[/tex]
Evaluate:
[tex]\[ 5 - 5 \][/tex]
Subtract 5 from 5:
[tex]\[ 5 - 5 = 0 \][/tex]
So, the value of the first expression is [tex]\( 0 \)[/tex].
### Expression 2: [tex]\(-5 - (-5)\)[/tex]
Evaluate:
[tex]\[ -5 - (-5) \][/tex]
Subtracting a negative number is the same as adding the positive counterpart:
[tex]\[ -5 - (-5) = -5 + 5 = 0 \][/tex]
So, the value of the second expression is [tex]\( 0 \)[/tex].
### Expression 3: [tex]\(-5 - 5\)[/tex]
Evaluate:
[tex]\[ -5 - 5 \][/tex]
Subtract 5 from -5:
[tex]\[ -5 - 5 = -10 \][/tex]
So, the value of the third expression is [tex]\( -10 \)[/tex].
### Expression 4: [tex]\( 5 - (-5) \)[/tex]
Evaluate:
[tex]\[ 5 - (-5) \][/tex]
Subtracting a negative number is the same as adding the positive counterpart:
[tex]\[ 5 - (-5) = 5 + 5 = 10 \][/tex]
So, the value of the fourth expression is [tex]\( 10 \)[/tex].
Therefore, the complete solutions are:
1. [tex]\( 5 - 5 = 0 \)[/tex]
2. [tex]\(-5 - (-5) = 0 \)[/tex]
3. [tex]\(-5 - 5 = -10 \)[/tex]
4. [tex]\(5 - (-5) = 10 \)[/tex]
Thus, filling in the blanks, we have:
[tex]\[
\begin{array}{l}
5-5=0 \\
-5-(-5)=0
\end{array}
\][/tex]
[tex]\[
\begin{array}{l}
-5-5=-10 \\
5-(-5)=10
\end{array}
\][/tex]
