Question

If Avogadro's number of pennies is divided equally among the 246 million men, women, and children in the United States, how many dollars would each receive

Answer 1

USD per person = $$2.31$ × $10^{13}$.

What is the US dollar?

• The US dollar is the official currency of the United States and a number of other countries.
• The Coinage Act of 1792 established the United States dollar on equal footing with the Spanish silver dollar, divided it into 100 cents, and authorized the minting of coins denominated in dollars and cents.

To find how many dollars would each receive:

Avogadro's number of pennies is divided equally among 261 million people.

Avogadro's number is $6.022$ × $10^{23}$.

To find the number of pennies each person will receive, we divide $6.022$ × $10^{23}$ by 261 million.

Pennies per person = $\frac{6.022 * 10^{23} }{261 million} = \frac{6.022 * 10^{23} }{261 * 10^{6} } = 2.31 * 10^{15}$

This is equal to the number of cents each person receives.

To convert pennies into dollars, 1 USD = 100 pennies, divide $2.31 * 10^{15}$ by $100$.

USD per person = $\frac{2.31 * 10^{15} }{100} = 2.31 * 10^{13}$

Therefore, USD per person = $$2.31$ × $10^{13}$.

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If Avogadro's number of pennies is divided equally among the 261 million men, women, and children in the United States, how many dollars would each receive?