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------------------------------------------------ What is the sum of [tex]$-356.1 + 258.6$[/tex]?

A. [tex]-614.7[/tex]
B. [tex]-97.5[/tex]
C. [tex]97.5[/tex]
D. [tex]614.7[/tex]

To solve the problem of finding the sum of [tex]$-356.1$[/tex] and [tex]$258.6$[/tex], let's follow these steps:

1. Identify the numbers to be added:
The numbers given in the problem are [tex]$-356.1$[/tex] and [tex]$258.6$[/tex].

2. Understand the operation (addition of a negative and a positive number):
Adding a negative number to a positive number is equivalent to subtracting the absolute value of the negative number from the positive number.

3. Perform the calculation:
[tex]\[
-356.1 + 258.6
\][/tex]
Since adding a negative number is the same as subtracting:
[tex]\[
258.6 - 356.1
\][/tex]
Now, subtract [tex]$356.1$[/tex] from [tex]$258.6$[/tex], which can be broken down as:
[tex]\[
258.6 - 356.1 = -(356.1 - 258.6)
\][/tex]
Let's find the difference inside the parentheses first:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]
Thus, we have:
[tex]\[
258.6 - 356.1 = -97.5
\][/tex]

4. Conclusion:
Therefore, the sum of [tex]$-356.1$[/tex] and [tex]$258.6$[/tex] is [tex]$-97.5$[/tex].

So, the correct answer is [tex]$-97.5$[/tex].