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 find the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex], let's break it down step-by-step.

1. Start with the numbers:
[tex]\[
-356.1 \, \text{and} \, 258.6
\][/tex]

2. Think of it as adding a negative number to a positive number. This is similar to subtracting the positive number from the negative number.

3. Calculate the difference between the absolute values of the numbers:
[tex]\[
356.1 - 258.6
\][/tex]

4. Subtract [tex]\(258.6\)[/tex] from [tex]\(356.1\)[/tex]:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]

5. Since the larger absolute value is from the negative number [tex]\(-356.1\)[/tex], the result of the sum will be negative:
[tex]\[
-97.5
\][/tex]

So, the correct answer is:
[tex]\[
-97.5
\][/tex]