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 solve the problem step-by-step:

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

1. Start with the first number: [tex]\( -356.1 \)[/tex].
2. Add the second number to it: [tex]\( +258.6 \)[/tex].

Now, let's perform the addition:

- Start by subtracting the smaller absolute value from the larger one because adding a negative number is the same as subtracting its absolute value.
- The absolute values are: [tex]\( 356.1 \)[/tex] and [tex]\( 258.6 \)[/tex].
- Subtract the smaller absolute value from the larger one: [tex]\( 356.1 - 258.6 = 97.5 \)[/tex].

Since the larger number [tex]\( 356.1 \)[/tex] is negative, the result will also be negative.

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

The correct answer is:
[tex]\[ -97.5 \][/tex]