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Answer :
To find the sum of [tex]\(-356.1\)[/tex] and [tex]\(258.6\)[/tex], you can follow these steps:
1. Identify the numbers involved: You are adding two numbers, one is negative (-356.1) and the other one is positive (258.6).
2. Subtract the absolute values: Since one number is negative and the other is positive, subtract the smaller absolute value from the larger absolute value. The absolute value of -356.1 is 356.1, and the absolute value of 258.6 is 258.6:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]
3. Determine the sign of the result: Since 356.1 (from -356.1) has a larger absolute value than 258.6, the result will have the same sign as -356.1, which is negative.
4. Combine the result and sign: Therefore, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].
Thus, the correct answer is [tex]\(-97.5\)[/tex].
1. Identify the numbers involved: You are adding two numbers, one is negative (-356.1) and the other one is positive (258.6).
2. Subtract the absolute values: Since one number is negative and the other is positive, subtract the smaller absolute value from the larger absolute value. The absolute value of -356.1 is 356.1, and the absolute value of 258.6 is 258.6:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]
3. Determine the sign of the result: Since 356.1 (from -356.1) has a larger absolute value than 258.6, the result will have the same sign as -356.1, which is negative.
4. Combine the result and sign: Therefore, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].
Thus, the correct answer is [tex]\(-97.5\)[/tex].
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