Question

If Avogadro's number of pennies is divided equally among the 291 million men, women, and children in the United States, how many dollars would each receive?

Answer 1

The RATIO of GDP per capita and Avodagro's Number of Pennies is:

`(6.0 xx 10^4)/(2.07 xx 10^13) = 2.90 xx 10^-9`

Or, about 3-billionths.

Explanation:

Interesting example of using large numbers! The comparison is simply to use the same number of people for the GDP. It may show how really HUGE Avogadro's Number is!

I don't know what you did for Part A, but for a like-to-like comparison I would convert the pennies to dollars as well (a `10^-2` exponent change).

Avogadro's number of pennies, converted to dollars:

`6.022 xx 10^23 xx 10^-2 = 6.022 xx 10^21` dollars.

Divided by `2.91 xx 10^8` people is:

`(6.022 xx 10^21)/(2.91 xx 10^8) = 2.07 xx 10^13 ("dollars"/"person")`

The 2015 GDP per capita is:

`(1.7419 xx 10^13)/(2.91 xx 10^8) = 6.0 xx 10^4 ("dollars"/"person")`

The RATIO of GDP per capita and Avodagro's Number of Pennies is:

`(6.0 xx 10^4)/(2.07 xx 10^13) = 2.90 xx 10^-9`