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. Identify the numbers involved:
- The first number is [tex]\(-356.1\)[/tex].
- The second number is [tex]\(258.6\)[/tex].

2. Determine the operation:
- We need to add the two numbers together, taking into account their signs.

3. Add the numbers:
- Since [tex]\(-356.1\)[/tex] is a negative number and [tex]\(258.6\)[/tex] is a positive number, perform the subtraction of the absolute values:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]

4. Determine the sign of the result:
- The larger number in absolute value is [tex]\(356.1\)[/tex] and it was originally negative. Therefore, the result will also be negative.

5. Write the final result:
- The sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].

The correct answer is [tex]\(-97.5\)[/tex].