Absolutely! Let's solve each of these additions step by step.
### Step-by-Step Solution
#### Problem 1:
[tex]\[
-4 + 5
\][/tex]
1. Combining Terms:
- When adding a negative number and a positive number, we can think of it as moving along a number line.
- Starting from [tex]\(-4\)[/tex], moving 5 units to the right on the number line will bring us to [tex]\(1\)[/tex].
The result is:
[tex]\[
-4 + 5 = 1
\][/tex]
#### Problem 2:
[tex]\[
-3 + (-2)
\][/tex]
1. Combining Terms:
- When adding two negative numbers, you sum the absolute values and then apply the negative sign to the result.
- The absolute values are [tex]\(3\)[/tex] and [tex]\(2\)[/tex]. Summing them gives [tex]\(3 + 2 = 5\)[/tex].
- Since both numbers are negative, the result will also be negative.
The result is:
[tex]\[
-3 + (-2) = -5
\][/tex]
### Final Answers:
[tex]\[
\begin{aligned}
-4 + 5 &= 1 \\
-3 + (-2) &= -5
\end{aligned}
\][/tex]
Thus, the solutions are:
[tex]\[
1 \text{ and } -5
\][/tex]
