Sure, let's work through the expression step-by-step.
1. Start with the original expression:
[tex]\[
-13 - (+2) + (+16) + (-3)
\][/tex]
2. Eliminate any double signs:
- [tex]\(-(+2)\)[/tex] becomes [tex]\(-2\)[/tex]
- [tex]\(+(+16)\)[/tex] becomes [tex]\(+16\)[/tex]
- [tex]\(+(-3)\)[/tex] becomes [tex]\(-3\)[/tex]
So, the expression simplifies to:
[tex]\[
-13 - 2 + 16 - 3
\][/tex]
3. Calculate step-by-step:
- First, evaluate [tex]\(-13 - 2\)[/tex]:
[tex]\[
-13 - 2 = -15
\][/tex]
- Next, add [tex]\(16\)[/tex] to the result:
[tex]\[
-15 + 16 = 1
\][/tex]
- Finally, subtract [tex]\(3\)[/tex] from the result:
[tex]\[
1 - 3 = -2
\][/tex]
So, the value of the simplified expression is [tex]\(-2\)[/tex].
The step-by-step results are:
- After the first operation: [tex]\(-15\)[/tex]
- After the second operation: [tex]\(1\)[/tex]
- After the third operation: [tex]\(-2\)[/tex]
Thus, the final simplified value of the expression [tex]\( -13 - (+2) + (+16) + (-3) \)[/tex] is [tex]\(-2\)[/tex].
