Answer :

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

1. Identify the Numbers: We are adding -356.1 and 258.6.

2. Understand the Signs: Since one number is negative (-356.1) and the other is positive (258.6), this is essentially a subtraction problem where we will find the difference and keep the sign of the larger absolute value.

3. Subtract the Smaller Absolute Value from the Larger Absolute Value:
- The absolute value of -356.1 is 356.1.
- The absolute value of 258.6 is 258.6.
- Subtract 258.6 from 356.1:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]

4. Determine the Sign of the Result: Since the number with the larger absolute value (356.1) is negative, the result will be negative.

5. Write the Final Result: Therefore, [tex]\(-356.1 + 258.6 = -97.5\)[/tex].

So, the sum is [tex]\(-97.5\)[/tex].

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