Answer :

To find the value of [tex]\(-127 + 42\)[/tex], you can follow these steps:

1. Identify the Operation: We are adding a negative number, [tex]\(-127\)[/tex], and a positive number, [tex]\(42\)[/tex].

2. Subtract the Smaller Absolute Value: Since [tex]\(-127\)[/tex] and [tex]\(42\)[/tex] have different signs, you convert the problem to subtraction by subtracting the smaller absolute value ([tex]\(42\)[/tex]) from the larger absolute value ([tex]\(127\)[/tex]).

[tex]\(127 - 42 = 85\)[/tex]

3. Determine the Sign of the Result: The result will have the sign of the number with the larger absolute value. In this case, [tex]\(-127\)[/tex] has a larger absolute value than [tex]\(42\)[/tex], so the result will be negative.

4. Combine the Result: Therefore, the final answer is [tex]\(-85\)[/tex].

So, [tex]\(-127 + 42 = -85\)[/tex].

Thus, the answer is [tex]\(-85\)[/tex].