To solve the expression [tex]\(-1.78 - (-0.42)\)[/tex], follow these steps:
1. Identify the given numbers and operations: We have the two numbers [tex]\(-1.78\)[/tex] and [tex]\(-0.42\)[/tex], and need to perform subtraction.
2. Change the subtraction of a negative number to addition: When you subtract a negative number, it is the same as adding the positive version of that number. So, [tex]\(-1.78 - (-0.42)\)[/tex] becomes [tex]\(-1.78 + 0.42\)[/tex].
3. Perform the addition: Now, we add [tex]\(-1.78\)[/tex] and [tex]\(0.42\)[/tex].
By adding, we get:
[tex]\[
-1.78 + 0.42 = -1.36
\][/tex]
Thus, the result of [tex]\(-1.78 - (-0.42)\)[/tex] is [tex]\(-1.36\)[/tex].
So, the answer is:
[tex]\[
-1.36
\][/tex]