Answer :
To find the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex], follow these steps:
1. Start with the two numbers: [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex].
2. Add the two numbers:
- Begin by looking at the absolute values:
[tex]\(|-356.1| = 356.1\)[/tex] and [tex]\(|258.6| = 258.6\)[/tex].
3. Identify the operation type:
- Since the first number is negative and the second is positive, you're effectively finding the difference between the absolute values.
4. Perform the subtraction:
- Subtract the smaller absolute value from the larger one:
[tex]\(356.1 - 258.6 = 97.5\)[/tex].
5. Determine the sign of the result:
- Since [tex]\(-356.1\)[/tex] has the larger absolute value, the result will take its sign.
6. Conclusion:
- Therefore, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].
So, the final answer is [tex]\(-97.5\)[/tex]. This means the correct choice from the given options is [tex]\(-97.5\)[/tex].
1. Start with the two numbers: [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex].
2. Add the two numbers:
- Begin by looking at the absolute values:
[tex]\(|-356.1| = 356.1\)[/tex] and [tex]\(|258.6| = 258.6\)[/tex].
3. Identify the operation type:
- Since the first number is negative and the second is positive, you're effectively finding the difference between the absolute values.
4. Perform the subtraction:
- Subtract the smaller absolute value from the larger one:
[tex]\(356.1 - 258.6 = 97.5\)[/tex].
5. Determine the sign of the result:
- Since [tex]\(-356.1\)[/tex] has the larger absolute value, the result will take its sign.
6. Conclusion:
- Therefore, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].
So, the final answer is [tex]\(-97.5\)[/tex]. This means the correct choice from the given options is [tex]\(-97.5\)[/tex].