Let's analyze each expression step-by-step to determine if it results in a positive, negative, or zero value:
1. Expression: [tex]$7 - (-4)$[/tex]
- When you subtract a negative number, it's the same as adding the positive equivalent of that number. So, [tex]$7 - (-4)$[/tex] becomes [tex]$7 + 4$[/tex].
- This equals [tex]$11$[/tex], which is positive.
2. Expression: [tex]$-3 + (-2)$[/tex]
- When you add two negative numbers, the result is also a negative number. Thus, [tex]$-3 + (-2)$[/tex] can be rewritten as [tex]$-3 - 2$[/tex].
- This equals [tex]$-5$[/tex], which is negative.
3. Expression: [tex]$5 - 8$[/tex]
- Here, you subtract a larger number from a smaller number, resulting in a negative value. So, [tex]$5 - 8$[/tex].
- This equals [tex]$-3$[/tex], which is negative.
4. Expression: [tex]$-12 + 12$[/tex]
- When you add a number and its negative equivalent, the result is zero. Hence, [tex]$-12 + 12$[/tex] equals 0.
Based on this analysis, we categorized the expressions as follows:
Positive Values:
- [tex]$7 - (-4)$[/tex]
Negative Values:
- [tex]$-3 + (-2)$[/tex]
- [tex]$5 - 8$[/tex]
Zero:
- [tex]$-12 + 12$[/tex]
