Why is it important for appellate judges to explain the decision that they make?

so that the lawyers know what they did wrong.
so that the lawyers do not have to give oral arguments at the next level of appeal.
for precedent and use in future cases and laws.
to write the writ of certiorari.

For precedent and use in future cases and laws.

Explanation:

After reading the briefs and hearing oral arguments, the appellate judges issue a written finding. In addition to stating the decision, the finding explains the facts that are relevant to the decision and the laws that apply to those facts. The written findings from appeals courts form the basis for precedent, for decisions that judges can use to decide future disputes and lawsuits.

"choosing is refusing" means individuals face an opportunity cost with each decision they make. economists state that every decision involves trade-offs. opportunity cost is the least desirable alternative given up as a result of a decision.