College

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]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex], follow these steps:

1. Start with the two numbers: [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex].

2. Add the two numbers:
- Begin by looking at the absolute values:
[tex]\(|-356.1| = 356.1\)[/tex] and [tex]\(|258.6| = 258.6\)[/tex].

3. Identify the operation type:
- Since the first number is negative and the second is positive, you're effectively finding the difference between the absolute values.

4. Perform the subtraction:
- Subtract the smaller absolute value from the larger one:
[tex]\(356.1 - 258.6 = 97.5\)[/tex].

5. Determine the sign of the result:
- Since [tex]\(-356.1\)[/tex] has the larger absolute value, the result will take its sign.

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

So, the final answer is [tex]\(-97.5\)[/tex]. This means the correct choice from the given options is [tex]\(-97.5\)[/tex].