Answer :

To solve the expression [tex]\(13.6 - 20.2 + 8 - (-38.5)\)[/tex], let's break it down step by step:

1. Handle the subtraction and addition of numbers:

- Start with [tex]\(13.6 - 20.2\)[/tex]:
- Subtracting 20.2 from 13.6 gives [tex]\(-6.6\)[/tex].

2. Add 8 to the result:

- [tex]\(-6.6 + 8\)[/tex]:
- Adding 8 to [tex]\(-6.6\)[/tex] gives [tex]\(1.4\)[/tex].

3. Finally, subtract [tex]\(-38.5\)[/tex]:

- When you subtract a negative number, it's the same as adding its positive value. So, [tex]\(1.4 - (-38.5)\)[/tex] becomes [tex]\(1.4 + 38.5\)[/tex].

- Adding 38.5 to 1.4 gives [tex]\(39.9\)[/tex].

Therefore, the result of the expression [tex]\(13.6 - 20.2 + 8 - (-38.5)\)[/tex] is [tex]\(39.9\)[/tex].