Let's solve the equation [tex]\(-4 + 6\)[/tex] step by step.
### Step 1: Understand the Equation
We need to add [tex]\(-4\)[/tex] and [tex]\(6\)[/tex] together.
### Step 2: Represent [tex]\(-4\)[/tex] with Counters
We represent [tex]\(-4\)[/tex] as 4 negative counters:
[tex]\[ \text{XX}XX \quad (\text{each } X \text{ represents } -1) \][/tex]
### Step 3: Represent [tex]\(6\)[/tex] with Counters
We represent [tex]\(6\)[/tex] as 6 positive counters:
[tex]\[ \text{++++++} \quad (\text{each } + \text{ represents } +1) \][/tex]
### Step 4: Combine the Counters
When we combine the negative and positive counters, each pair of [tex]\(-1\)[/tex] and [tex]\(+1\)[/tex] cancels each other out. Let’s pair them off:
[tex]\[ (-1) + (+1) = 0 \][/tex]
[tex]\[ (-1) + (+1) = 0 \][/tex]
[tex]\[ (-1) + (+1) = 0 \][/tex]
[tex]\[ (-1) + (+1) = 0 \][/tex]
So, we cancel out 4 pairs:
[tex]\[ \text{XX}XXXX + \text{++++++} = 0 + 0 + 0 + 0 + 2 \][/tex]
### Step 5: Count the Remaining Counters
After canceling the pairs, we'll count the leftover counters:
[tex]\[ \text{++} \][/tex]
There are two positive counters left.
### Result
Therefore, the result of [tex]\(-4 + 6\)[/tex] is:
[tex]\[ \boxed{2} \][/tex]
