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 \sqrt{5}[/tex]
D. [tex]614.7[/tex]

Answer :

To find the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex], you can follow these steps:

1. Understand the Numbers: Start with the two numbers [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex]. Here, [tex]\(-356.1\)[/tex] is a negative number, and [tex]\(258.6\)[/tex] is a positive number.

2. Combine the Numbers: When you add a negative number and a positive number, it's similar to subtracting the smaller absolute value from the larger absolute value. In this case:

- The absolute value of [tex]\(-356.1\)[/tex] is [tex]\(356.1\)[/tex].
- The absolute value of [tex]\(258.6\)[/tex] is [tex]\(258.6\)[/tex].

3. Subtract the Smaller Absolute Value: Subtract the smaller absolute value ([tex]\(258.6\)[/tex]) from the larger absolute value ([tex]\(356.1\)[/tex]):

[tex]\[
356.1 - 258.6 = 97.5
\][/tex]

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

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

Therefore, the answer to the question [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].