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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. Understand the Operation: You are adding two numbers: one is negative and the other is positive.
2. Subtract the Absolute Values: Since you’re adding a negative number to a positive number, you can think of it as subtracting the smaller absolute value from the larger absolute value:
- Absolute value of [tex]\( -356.1 \)[/tex] is [tex]\( 356.1 \)[/tex].
- Absolute value of [tex]\( 258.6 \)[/tex] is [tex]\( 258.6 \)[/tex].
- Subtract [tex]\( 258.6 \)[/tex] from [tex]\( 356.1 \)[/tex]:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]
3. Determine the Sign: Since [tex]\(-356.1\)[/tex] has a larger absolute value than [tex]\(258.6\)[/tex], the result will have the same sign as [tex]\(-356.1\)[/tex], which is negative.
4. Combine the Results: So, the result of the addition is [tex]\(-97.5\)[/tex].
Therefore, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].
1. Understand the Operation: You are adding two numbers: one is negative and the other is positive.
2. Subtract the Absolute Values: Since you’re adding a negative number to a positive number, you can think of it as subtracting the smaller absolute value from the larger absolute value:
- Absolute value of [tex]\( -356.1 \)[/tex] is [tex]\( 356.1 \)[/tex].
- Absolute value of [tex]\( 258.6 \)[/tex] is [tex]\( 258.6 \)[/tex].
- Subtract [tex]\( 258.6 \)[/tex] from [tex]\( 356.1 \)[/tex]:
[tex]\[
356.1 - 258.6 = 97.5
\][/tex]
3. Determine the Sign: Since [tex]\(-356.1\)[/tex] has a larger absolute value than [tex]\(258.6\)[/tex], the result will have the same sign as [tex]\(-356.1\)[/tex], which is negative.
4. Combine the Results: So, the result of the addition is [tex]\(-97.5\)[/tex].
Therefore, the sum of [tex]\(-356.1 + 258.6\)[/tex] is [tex]\(-97.5\)[/tex].
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