High School

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], we can approach it step-by-step:

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

2. Understand the Signs:
- The first number, [tex]\(-356.1\)[/tex], is negative.
- The second number, [tex]\(258.6\)[/tex], is positive.

3. Subtract the Absolute Values:
- Since we are adding a negative and a positive number, we find the difference between their absolute values.
- Absolute value of [tex]\(-356.1\)[/tex] is [tex]\(356.1\)[/tex].
- Absolute value of [tex]\(258.6\)[/tex] is [tex]\(258.6\)[/tex].
- Subtract [tex]\(258.6\)[/tex] from [tex]\(356.1\)[/tex]: [tex]\(356.1 - 258.6 = 97.5\)[/tex].

4. Determine the Sign of the Result:
- [tex]\(-356.1\)[/tex] has a larger absolute value than [tex]\(258.6\)[/tex], so the result will take the sign of the larger absolute value.
- Since [tex]\(-356.1\)[/tex] is larger in absolute value, the result will be negative.

5. Write the Final Answer:
- Therefore, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].

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

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