Final answer:
The gold rush and the opening of Japan revealed the United States' involvement in the global economic system through economic expansion and trade relations.
Step-by-step explanation:
The gold rush and the opening of Japan revealed the United States' involvement in the global economic system in several ways. Firstly, the gold rush brought thousands of people to California, which led to an economic boom in the region. This influx of people and wealth contributed to the growth of American industries and trade, as well as the expansion of global trade networks.
Secondly, the opening of Japan by Commodore Matthew Perry allowed the United States to establish trade relations with Japan. This increased the flow of goods and resources between the two countries and facilitated the integration of Japan into the global economy.
Overall, both events highlighted the United States' active role in the global economic system, as it sought to benefit from and contribute to international trade and economic growth.