Answer :
To solve the problem of finding the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex], let's follow these steps:
1. Identify the numbers to be added:
The numbers given in the problem are [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex].
2. Understand the operation (addition of a negative and a positive number):
Adding a negative number to a positive number is equivalent to subtracting the absolute value of the negative number from the positive number.
3. Perform the calculation:
[tex]\[
-356.1 + 258.6
\][/tex]
Since adding a negative number is the same as subtracting:
[tex]\[
258.6 - 356.1
\][/tex]
Now, subtract [tex]\(356.1\)[/tex] from [tex]\(258.6\)[/tex], which can be broken down as:
[tex]\[
258.6 - 356.1 = -(356.1 - 258.6)
\][/tex]
Let's find the difference inside the parentheses first:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]
Thus, we have:
[tex]\[
258.6 - 356.1 = -97.5
\][/tex]
4. Conclusion:
Therefore, the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex] is [tex]\(-97.5\)[/tex].
So, the correct answer is [tex]\(-97.5\)[/tex].
1. Identify the numbers to be added:
The numbers given in the problem are [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex].
2. Understand the operation (addition of a negative and a positive number):
Adding a negative number to a positive number is equivalent to subtracting the absolute value of the negative number from the positive number.
3. Perform the calculation:
[tex]\[
-356.1 + 258.6
\][/tex]
Since adding a negative number is the same as subtracting:
[tex]\[
258.6 - 356.1
\][/tex]
Now, subtract [tex]\(356.1\)[/tex] from [tex]\(258.6\)[/tex], which can be broken down as:
[tex]\[
258.6 - 356.1 = -(356.1 - 258.6)
\][/tex]
Let's find the difference inside the parentheses first:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]
Thus, we have:
[tex]\[
258.6 - 356.1 = -97.5
\][/tex]
4. Conclusion:
Therefore, the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex] is [tex]\(-97.5\)[/tex].
So, the correct answer is [tex]\(-97.5\)[/tex].
