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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 are adding [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex].

2. Perform the Addition:
- Start by combining the two numbers: [tex]\(-356.1 + 258.6\)[/tex].
- When you add a positive number to a negative number, it's like subtracting the smaller absolute value from the larger absolute value. Here, the absolute values are [tex]\(356.1\)[/tex] and [tex]\(258.6\)[/tex].
- Subtract [tex]\(258.6\)[/tex] from [tex]\(356.1\)[/tex]: [tex]\(356.1 - 258.6 = 97.5\)[/tex].

3. Determine the Sign of the Result:
- Since [tex]\(-356.1\)[/tex] has the larger absolute value, the result should take the sign of the negative number.
- Therefore, the sum is [tex]\(-97.5\)[/tex].

So, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].