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Which of these expressions have positive values and which have negative values?

Drag and drop each expression into the correct category:

1. [tex]\(7 - (-4)\)[/tex]
2. [tex]\(-3 + (-2)\)[/tex]
3. [tex]\(5 - 8\)[/tex]
4. [tex]\(-12 + 12\)[/tex]

Sagot :

GinnyAnsweridn
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]
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