Answer :

To find the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex], follow these steps:

1. Start with the numbers given: You have [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex].
2. Add the numbers: Calculate [tex]\(-356.1 + 258.6\)[/tex].

- First, align the decimal points.
- Subtract [tex]\(258.6\)[/tex] from [tex]\(356.1\)[/tex] because you are adding a negative and a positive number. Subtract smaller absolute value from the larger absolute value:

[tex]\[
356.1 - 258.6 = 97.5
\][/tex]

- Since the larger absolute value was originally negative ([tex]\(-356.1\)[/tex]), the result will also be negative.

3. Determine the sign: Because the number with the larger absolute value was negative, the result will be negative.

Thus, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex]. The correct answer is [tex]\(-97.5\)[/tex].

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