Answer :

To solve the problem [tex]\(-356.1 + 258.6\)[/tex], we will follow these steps:

1. Start with the first number: We have [tex]\(-356.1\)[/tex].
2. Add the second number: Next, add [tex]\(258.6\)[/tex] to [tex]\(-356.1\)[/tex].

Since these numbers have opposite signs, you essentially subtract the smaller absolute value from the larger absolute value.

- Calculate the difference between [tex]\(356.1\)[/tex] (absolute value of the negative number) and [tex]\(258.6\)[/tex]:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]

3. Determine the sign of the result:
- The number with the larger absolute value is [tex]\(-356.1\)[/tex], which is negative.
- Therefore, the final result will be negative.

So, [tex]\(-356.1 + 258.6 = -97.5\)[/tex].

The correct answer is [tex]\(-97.5\)[/tex].

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