Answer :

To find the sum of [tex]-356.1 + 258.6[/tex], we need to perform a simple arithmetic operation: adding a negative number to a positive number. This involves the following steps:

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

  2. Understand the Operation: Adding a negative number is the same as subtracting the positive equivalent of that number. So, instead of adding [tex]-356.1[/tex], think of it as subtracting [tex]356.1[/tex] from [tex]258.6[/tex].

  3. Perform the Calculation:

    • Start by subtracting [tex]356.1[/tex] from [tex]258.6[/tex].

    • To do this calculation, align the decimal points:

      [tex]\begin{array}{r}
      -356.1 \\
      +258.6
      \end{array}[/tex]

    • Subtract the numbers:

      • Since we can't subtract 6 from 1, we borrow 1 from the tenths place, making it 11. Now, subtract 6 from 11 to get 5.

      • Move to the tenths place: 5 from 5, gives 0.

      • Move to the hundreds place: since we borrowed 1 earlier, subtract 6 from 8 (after adding the borrowed 1), which gives 2.

      • The calculation gives us [tex]-97.5[/tex].

  4. Conclusion: The sum of [tex]-356.1 + 258.6[/tex] is [tex]-97.5[/tex].

Therefore, the correct answer is option B. [tex]-97.5[/tex].

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