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: You have two numbers to add: [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex].

2. Add the numbers: When adding a negative number and a positive number, you can think of it as subtracting the smaller number from the larger number, and then use the sign of the larger absolute value.
[tex]\[
-356.1 + 258.6 = -(356.1 - 258.6)
\][/tex]

3. Subtract the smaller from the larger: Subtract [tex]\(258.6\)[/tex] from [tex]\(356.1\)[/tex]:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]

4. Determine the sign: Since [tex]\(356.1\)[/tex] is greater and negative, the result will be negative:
[tex]\[
-97.5
\][/tex]

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