Answer :

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

1. We start with the expression:
[tex]$$-356.1 + 258.6$$[/tex]

2. Since one number is negative and the other is positive, we subtract the smaller absolute value from the larger absolute value. The absolute values are:
[tex]$$| -356.1 | = 356.1 \quad \text{and} \quad |258.6| = 258.6$$[/tex]

3. Next, subtract the smaller absolute value from the larger:
[tex]$$356.1 - 258.6 = 97.5$$[/tex]

4. Because the number with the larger absolute value (356.1) is negative, the result is negative:
[tex]$$-356.1 + 258.6 = -97.5$$[/tex]

Thus, the sum is:
[tex]$$\boxed{-97.5}$$[/tex]

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