The contract specifications are specified for one contract, so the tick value shown above is the tick value per contract. If a trade is made with more than one contract, then the tick value is increased accordingly. For example, a trade made on the ZG options market with three contracts would have an equivalent tick value of 3 X $10 = $30, which would mean that for every 0.1 change in price, the trade's profit or loss would change by $30.
American options can be exercised at any time between the date of purchase and the expiration date. European options are different from American options in that they can only be exercised at the end of their lives on their expiration date. The distinction between American and European options has nothing to do with geography, only with early exercise. Many options on stock indexes are of the European type. Because the right to exercise early has some value, an American option typically carries a higher premium than an otherwise identical European option. This is because the early exercise feature is desirable and commands a premium.
An option is a contract that allows (but doesn't require) an investor to buy or sell an underlying instrument like a security, ETF or even index at a predetermined price over a certain period of time. Buying and selling options is done on the options market, which trades contracts based on securities. Buying an option that allows you to buy shares at a later time is called a "call option," whereas buying an option that allows you to sell shares at a later time is called a "put option."