Alright, let's solve the problem step-by-step by adding the signed numbers: [tex]\(-22.42 + (-1.3) + 19.5 + 0.34 + (-13.89)\)[/tex].
1. First, add the negative numbers together:
[tex]\[
-22.42 + (-1.3) + (-13.89)
\][/tex]
Summing these up:
[tex]\[
-22.42 + (-1.3) = -23.72
\][/tex]
Continuing to add the next negative:
[tex]\[
-23.72 + (-13.89) = -37.61
\][/tex]
2. Next, add the positive numbers together:
[tex]\[
19.5 + 0.34
\][/tex]
Summing these up:
[tex]\[
19.5 + 0.34 = 19.84
\][/tex]
3. Finally, combine the totals from the negative sum and the positive sum:
[tex]\[
-37.61 + 19.84
\][/tex]
Performing this calculation:
[tex]\[
-37.61 + 19.84 = -17.77
\][/tex]
Hence, the correct answer from combining these sums is:
[tex]\[
\boxed{-17.77}
\][/tex]
