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 :

Sure! Let's find the sum of [tex]\(-356.1 + 258.6\)[/tex].

1. Identify the numbers involved: We are adding [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex].

2. Combine the numbers:
- Start with the number [tex]\(-356.1\)[/tex], which is negative.
- Add [tex]\(258.6\)[/tex] to it. Since [tex]\(-356.1\)[/tex] is negative and [tex]\(258.6\)[/tex] is positive, you're essentially finding the difference between the two numbers.
- Subtract the smaller absolute value from the larger one: [tex]\(356.1 - 258.6\)[/tex].

3. Perform the subtraction:
- [tex]\(356.1 - 258.6 = 97.5\)[/tex].

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

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

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