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Answer :
Sure, let's solve the problem step by step. We want to find the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex].
1. Understanding the Problem: We have two numbers with opposite signs. The number [tex]\(-356.1\)[/tex] is negative, and [tex]\(258.6\)[/tex] is positive.
2. Combining the Numbers:
- When adding a negative number and a positive number, you effectively subtract their absolute values.
- Calculate the absolute values: The absolute value of [tex]\(-356.1\)[/tex] is [tex]\(356.1\)[/tex], and the absolute value of [tex]\(258.6\)[/tex] is [tex]\(258.6\)[/tex].
3. Subtract the Smaller Absolute Value from the Larger:
- Subtract [tex]\(258.6\)[/tex] from [tex]\(356.1\)[/tex]:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]
4. Determine the Sign of the Result:
- Since [tex]\(-356.1\)[/tex] has the greater absolute value, the result will have the same sign, which is negative.
5. Final Result:
- Therefore, the sum is [tex]\(-97.5\)[/tex].
Hence, the correct answer to the question [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].
1. Understanding the Problem: We have two numbers with opposite signs. The number [tex]\(-356.1\)[/tex] is negative, and [tex]\(258.6\)[/tex] is positive.
2. Combining the Numbers:
- When adding a negative number and a positive number, you effectively subtract their absolute values.
- Calculate the absolute values: The absolute value of [tex]\(-356.1\)[/tex] is [tex]\(356.1\)[/tex], and the absolute value of [tex]\(258.6\)[/tex] is [tex]\(258.6\)[/tex].
3. Subtract the Smaller Absolute Value from the Larger:
- Subtract [tex]\(258.6\)[/tex] from [tex]\(356.1\)[/tex]:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]
4. Determine the Sign of the Result:
- Since [tex]\(-356.1\)[/tex] has the greater absolute value, the result will have the same sign, which is negative.
5. Final Result:
- Therefore, the sum is [tex]\(-97.5\)[/tex].
Hence, the correct answer to the question [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].
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