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 solve the problem of finding the sum of [tex]\(-356.1 + 258.6\)[/tex], we can follow these steps:

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

2. Setting Up the Problem: We need to add these two numbers together:

[tex]\[
-356.1 + 258.6
\][/tex]

3. Perform the Addition: We'll first focus on the absolute values:
- 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].

4. Determine the Larger Absolute Value: Compare [tex]\(356.1\)[/tex] and [tex]\(258.6\)[/tex]. Here, [tex]\(356.1\)[/tex] is larger.

5. Subtract the Smaller Absolute Value from the Larger:

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

6. Determine the Sign: Since [tex]\(-356.1\)[/tex] has a larger absolute value than [tex]\(258.6\)[/tex] and the sign of [tex]\(-356.1\)[/tex] is negative, the result will also be negative.

7. Finalize the Answer: Therefore, the final result is [tex]\(-97.5\)[/tex].

So, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].