Let's solve this step-by-step:
1. First Expression: [tex]\(-47 + 51\)[/tex]
- Start by looking at the numbers: [tex]\(-47\)[/tex] and [tex]\(51\)[/tex].
- Adding a negative number is the same as subtracting its absolute value.
- So, let's rewrite [tex]\(-47 + 51\)[/tex] as [tex]\(51 - 47\)[/tex].
- Perform the subtraction: [tex]\(51 - 47 = 4\)[/tex].
- Thus, [tex]\(-47 + 51 = 4\)[/tex].
2. Second Expression: [tex]\(-36 + (-46)\)[/tex]
- Here, both numbers are negative: [tex]\(-36\)[/tex] and [tex]\(-46\)[/tex].
- Adding two negative numbers results in a more negative number.
- So, [tex]\(-36 + (-46)\)[/tex] can be rewritten as [tex]\(-36 - 46\)[/tex].
- Perform the subtraction: [tex]\(-36 - 46 = -82\)[/tex].
- Thus, [tex]\(-36 + (-46) = -82\)[/tex].
Therefore, the solutions are:
[tex]\[
\begin{aligned}
-47 + 51 &= 4, \\
-36 + (-46) &= -82.
\end{aligned}
\][/tex]
