Answer :
To find the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex], you can follow these steps:
1. Understand the Numbers: Start with the two numbers [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex]. Here, [tex]\(-356.1\)[/tex] is a negative number, and [tex]\(258.6\)[/tex] is a positive number.
2. Combine the Numbers: When you add a negative number and a positive number, it's similar to subtracting the smaller absolute value from the larger absolute value. In this case:
- The absolute value of [tex]\(-356.1\)[/tex] is [tex]\(356.1\)[/tex].
- The absolute value of [tex]\(258.6\)[/tex] is [tex]\(258.6\)[/tex].
3. Subtract the Smaller Absolute Value: Subtract the smaller absolute value ([tex]\(258.6\)[/tex]) from the larger absolute value ([tex]\(356.1\)[/tex]):
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]
4. Determine the Sign: Since [tex]\(-356.1\)[/tex] has a greater absolute value than [tex]\(258.6\)[/tex], the result of the addition will take the sign of [tex]\(-356.1\)[/tex], which is negative.
5. Final Answer: Thus, the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex] is [tex]\(-97.5\)[/tex].
Therefore, the answer to the question [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].
1. Understand the Numbers: Start with the two numbers [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex]. Here, [tex]\(-356.1\)[/tex] is a negative number, and [tex]\(258.6\)[/tex] is a positive number.
2. Combine the Numbers: When you add a negative number and a positive number, it's similar to subtracting the smaller absolute value from the larger absolute value. In this case:
- The absolute value of [tex]\(-356.1\)[/tex] is [tex]\(356.1\)[/tex].
- The absolute value of [tex]\(258.6\)[/tex] is [tex]\(258.6\)[/tex].
3. Subtract the Smaller Absolute Value: Subtract the smaller absolute value ([tex]\(258.6\)[/tex]) from the larger absolute value ([tex]\(356.1\)[/tex]):
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]
4. Determine the Sign: Since [tex]\(-356.1\)[/tex] has a greater absolute value than [tex]\(258.6\)[/tex], the result of the addition will take the sign of [tex]\(-356.1\)[/tex], which is negative.
5. Final Answer: Thus, the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex] is [tex]\(-97.5\)[/tex].
Therefore, the answer to the question [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].