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], you can follow these steps:

1. Identify the numbers involved: You are adding two numbers, one is negative (-356.1) and the other one is positive (258.6).

2. Subtract the absolute values: Since one number is negative and the other is positive, subtract the smaller absolute value from the larger absolute value. The absolute value of -356.1 is 356.1, and the absolute value of 258.6 is 258.6:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]

3. Determine the sign of the result: Since 356.1 (from -356.1) has a larger absolute value than 258.6, the result will have the same sign as -356.1, which is negative.

4. Combine the result and sign: Therefore, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].

Thus, the correct answer is [tex]\(-97.5\)[/tex].