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]
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]