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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]

Answer :

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

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

2. Understand Positive and Negative Signs:
- One number is negative ([tex]\(-356.1\)[/tex]) and the other is positive ([tex]\(258.6\)[/tex]).
- When adding a positive and a negative number, you're essentially finding the difference between them and keeping the sign of the larger absolute value.

3. Find the Absolute Values:
- The absolute value of [tex]\(-356.1\)[/tex] is [tex]\(356.1\)[/tex].
- The absolute value of [tex]\(258.6\)[/tex] is [tex]\(258.6\)[/tex].

4. Subtract the Smaller Absolute Value from the Larger Absolute Value:
- Subtract [tex]\(258.6\)[/tex] from [tex]\(356.1\)[/tex]:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]

5. Determine the Sign:
- The larger absolute value was from the negative number ([tex]\(-356.1\)[/tex]), so the result will be negative.

6. Conclusion:
- Therefore, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].

Thus, the answer is [tex]\(-97.5\)[/tex].

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