Answer :

Let's solve the problem step by step:

We are tasked with finding the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex].

1. Identify the numbers and their signs:
- The first number is [tex]\(-356.1\)[/tex] (a negative number).
- The second number is [tex]\(258.6\)[/tex] (a positive number).

2. Perform the addition:
When adding a negative number and a positive number, you can think of it as performing a subtraction. Subtract the smaller absolute value from the larger absolute value:
- Absolute value of [tex]\(-356.1\)[/tex] is [tex]\(356.1\)[/tex].
- Absolute value of [tex]\(258.6\)[/tex] is [tex]\(258.6\)[/tex].

So, calculate:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]

3. Determine the sign of the result:
Since the absolute value of the negative number ([tex]\(356.1\)[/tex]) is larger than the absolute value of the positive number ([tex]\(258.6\)[/tex]), the result will be negative.

Therefore, the sum [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].

So, the correct answer is [tex]\(-97.5\)[/tex].

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