Explanation: The sum of integers from \(-557\) to \(557\) is \(0\), because for every negative integer there is a corresponding positive integer that cancels it out. The sum is: \((-557 + \dots + -1 + 0 + 1 + \dots + 557) + 558 + 559 = 0 + 558 + 559 = 1117\).
