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 :

Sure! Let's go through the problem step-by-step:

1. Understanding the problem:

We are given two numbers to add:
- The first number is [tex]\(-356.1\)[/tex]
- The second number is [tex]\(258.6\)[/tex]

2. Set up the addition problem:

We need to find the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex].

3. Perform the addition:

When adding a negative number to a positive number, think of it like subtracting the positive number from the absolute value of the negative number:

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

4. Calculate the result:

Subtract [tex]\(258.6\)[/tex] from [tex]\(356.1\)[/tex]:

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

Since the larger absolute value was from the negative number, the result will inherit the negative sign:

[tex]\[
-97.5
\][/tex]

5. Verify the final answer:

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

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

In conclusion, the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex] is [tex]\(-97.5\)[/tex].