The best strategy when the dealer shows an Ace is to be more cautious, as the dealer has a strong chance of getting a blackjack. If offered, avoid taking insurance, as it's statistically unfavorable. Players should hit more often with weaker hands, especially when holding a total of 16 or lower, as the risk of losing with a lower hand is higher. With a soft hand (including an Ace), players should hit or double down if the total is below 18. For stronger hands, like hard 17 or higher, it's better to stand. Adjusting play based on the dealer's Ace minimizes losses and optimizes winning chances.