Answer :
Certainly! Let's solve the problem step-by-step:
We are asked to find the sum of [tex]\(-356.1 + 258.6\)[/tex].
1. Understand the numbers: We have two numbers:
- [tex]\(-356.1\)[/tex] is a negative number.
- [tex]\(258.6\)[/tex] is a positive number.
2. Adding a Negative and a Positive Number:
- When you add a negative number to a positive number, you essentially subtract the smaller magnitude from the larger magnitude and keep the sign of the larger number.
3. Calculate the Magnitude:
- The magnitude of [tex]\(-356.1\)[/tex] is [tex]\(356.1\)[/tex].
- The magnitude of [tex]\(258.6\)[/tex] is [tex]\(258.6\)[/tex].
4. Subtract the Smaller Magnitude from the Larger:
- Subtract [tex]\(258.6\)[/tex] from [tex]\(356.1\)[/tex]:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]
5. Determine the Sign:
- Since the larger magnitude is from the negative number ([tex]\(-356.1\)[/tex]), the result carries a negative sign.
6. Final Result:
- Therefore, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].
So, the correct answer is [tex]\(-97.5\)[/tex].
We are asked to find the sum of [tex]\(-356.1 + 258.6\)[/tex].
1. Understand the numbers: We have two numbers:
- [tex]\(-356.1\)[/tex] is a negative number.
- [tex]\(258.6\)[/tex] is a positive number.
2. Adding a Negative and a Positive Number:
- When you add a negative number to a positive number, you essentially subtract the smaller magnitude from the larger magnitude and keep the sign of the larger number.
3. Calculate the Magnitude:
- The magnitude of [tex]\(-356.1\)[/tex] is [tex]\(356.1\)[/tex].
- The magnitude of [tex]\(258.6\)[/tex] is [tex]\(258.6\)[/tex].
4. Subtract the Smaller Magnitude from the Larger:
- Subtract [tex]\(258.6\)[/tex] from [tex]\(356.1\)[/tex]:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]
5. Determine the Sign:
- Since the larger magnitude is from the negative number ([tex]\(-356.1\)[/tex]), the result carries a negative sign.
6. Final Result:
- Therefore, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].
So, the correct answer is [tex]\(-97.5\)[/tex].