Sure! Let's solve each of these mathematical expressions step by step:
1. Expression: [tex]\(36 + 27\)[/tex]
- Addition: Add 36 and 27.
Therefore,
[tex]\[
36 + 27 = 63
\][/tex]
2. Expression: [tex]\(-17 + (-25)\)[/tex]
- Addition with negative numbers: When adding two negative numbers, we add their absolute values (disregard the negative signs) and then attach a negative sign to the result.
Hence,
[tex]\[
-17 + (-25) = -(17 + 25) = -42
\][/tex]
3. Expression: [tex]\(-25 + 29\)[/tex]
- Addition involving a negative and a positive number: Here, you subtract the smaller number from the bigger one, and then take the sign of the number with the greater absolute value.
So,
[tex]\[
-25 + 29 = 4
\][/tex]
Thus, the solutions for the given expressions are:
[tex]\[
\begin{aligned}
36 + 27 &= 63, \\
-17 + (-25) &= -42, \\
-25 + 29 &= 4.
\end{aligned}
\][/tex]