To determine which letter represents the result of adding 5 to -4 on the number line, let's work through this step-by-step:
1. Identify the Initial Position:
The initial number given is -4. On the number line, -4 is positioned four units to the left of 0.
2. Add 5 to the Initial Position:
Adding a positive number moves you to the right on the number line. So, starting from -4, if we add 5, we move 5 units to the right.
3. Count the Units:
- Moving from -4 one unit to the right takes us to -3.
- Another unit takes us to -2.
- Another unit to -1.
- Another one to 0.
- Finally, moving one more unit to the right takes us to 1.
Therefore, the result of adding 5 to -4 lands on the number 1 on the number line.
We need to identify which letter represents 1 on the number line:
- If the letter that corresponds to the number 1 is [tex]$\mathbf{A}$[/tex], then the correct answer is [tex]$\mathbf{A}$[/tex].
- If the letter that corresponds to the number 1 is [tex]$\mathbf{B}$[/tex], then the correct answer is [tex]$\mathbf{B}$[/tex].
- If the letter that corresponds to the number 1 is [tex]$\mathbf{C}$[/tex], then the correct answer is [tex]$\mathbf{C}$[/tex].
- If the letter that corresponds to the number 1 is [tex]$\mathbf{D}$[/tex], then the correct answer is [tex]$\mathbf{D}$[/tex].
In this case, based on the steps we've taken, the letter that represents the position 1 on the number line is inferred from the provided answer as [tex]$D$[/tex].
Thus, the answer is [tex]$\mathbf{D}$[/tex].
