Answer :

Sure! Let's go through the process of finding the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex] step by step:

1. Identify the Numbers:
- We have two numbers: [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex].

2. Adding a Positive and a Negative Number:
- When you add a negative number to a positive number, you can think of it as subtracting the positive number from the absolute value of the negative number.

3. Calculate the Difference:
- The absolute value of [tex]\(-356.1\)[/tex] is [tex]\(356.1\)[/tex].
- Now, subtract [tex]\(258.6\)[/tex] from [tex]\(356.1\)[/tex].

4. Perform the Subtraction:
- [tex]\(356.1 - 258.6 = 97.5\)[/tex].

5. Determine the Sign:
- Since the absolute value of the negative number was larger, the result will take the sign of the original negative number. Therefore, the result is [tex]\(-97.5\)[/tex].

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

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