1. **State the problem:** Calculate the value of $Isw$ given by the expression $Isw = 2.5 \times 0.80 + 0.8 \times (19.88 - 6.82)$. 2. **Apply the order of operations:** First, calculate the subtraction inside the parentheses. $$19.88 - 6.82 = 13.06$$ 3. **Substitute back into the expression:** $$Isw = 2.5 \times 0.80 + 0.8 \times 13.06$$ 4. **Calculate each multiplication:** $$2.5 \times 0.80 = 2.0$$ $$0.8 \times 13.06 = 10.448$$ 5. **Add the results:** $$Isw = 2.0 + 10.448 = 12.448$$ 6. **Final answer:** $$Isw = 12.448$$