Answer :
To solve the problem of finding the sum of [tex]\(-356.1 + 258.6\)[/tex], we can follow these steps:
1. Identify Numbers: We have two numbers, [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex].
2. Setting Up the Problem: We need to add these two numbers together:
[tex]\[
-356.1 + 258.6
\][/tex]
3. Perform the Addition: We'll first focus on the absolute values:
- 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].
4. Determine the Larger Absolute Value: Compare [tex]\(356.1\)[/tex] and [tex]\(258.6\)[/tex]. Here, [tex]\(356.1\)[/tex] is larger.
5. Subtract the Smaller Absolute Value from the Larger:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]
6. Determine the Sign: Since [tex]\(-356.1\)[/tex] has a larger absolute value than [tex]\(258.6\)[/tex] and the sign of [tex]\(-356.1\)[/tex] is negative, the result will also be negative.
7. Finalize the Answer: Therefore, the final result is [tex]\(-97.5\)[/tex].
So, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].
1. Identify Numbers: We have two numbers, [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex].
2. Setting Up the Problem: We need to add these two numbers together:
[tex]\[
-356.1 + 258.6
\][/tex]
3. Perform the Addition: We'll first focus on the absolute values:
- 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].
4. Determine the Larger Absolute Value: Compare [tex]\(356.1\)[/tex] and [tex]\(258.6\)[/tex]. Here, [tex]\(356.1\)[/tex] is larger.
5. Subtract the Smaller Absolute Value from the Larger:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]
6. Determine the Sign: Since [tex]\(-356.1\)[/tex] has a larger absolute value than [tex]\(258.6\)[/tex] and the sign of [tex]\(-356.1\)[/tex] is negative, the result will also be negative.
7. Finalize the Answer: Therefore, the final result is [tex]\(-97.5\)[/tex].
So, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].