Let's analyze the problem of subtracting [tex]\((+5)\)[/tex] from [tex]\((-2)\)[/tex] step by step.
1. Understand the Problem:
- We want to subtract [tex]\((+5)\)[/tex] from [tex]\((-2)\)[/tex].
- In mathematical terms, this means we need to calculate [tex]\((-2) - (+5)\)[/tex].
2. Set up the Operation:
- Subtracting a positive number is equivalent to adding its negative. So, subtracting [tex]\( 5 \)[/tex] from [tex]\(-2\)[/tex] is the same as adding [tex]\(-5\)[/tex] to [tex]\(-2\)[/tex].
- Therefore, [tex]\((-2) - (+5)\)[/tex] can be written as [tex]\((-2) + (-5)\)[/tex].
3. Perform the Calculation:
- Start with [tex]\(-2\)[/tex].
- Add [tex]\(-5\)[/tex] to [tex]\(-2\)[/tex].
- When you add two negative numbers, you add their absolute values and give the result a negative sign.
[tex]\[
|-2| + |-5| = 2 + 5 = 7
\][/tex]
- Since both numbers were negative, the result will also be negative.
- Therefore, [tex]\((-2) + (-5) = -7\)[/tex].
Hence, subtracting [tex]\((+5)\)[/tex] from [tex]\((-2)\)[/tex] results in [tex]\(-7\)[/tex].
The expression [tex]\( (3 + 5 - 2) \)[/tex] you wrote seems unrelated to the problem at hand. We're only considering the subtraction operation [tex]\((-2) - (+5)\)[/tex], which we just solved.
