# 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?

Sep 11, 2017

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

$\frac{6.0 \times {10}^{4}}{2.07 \times {10}^{13}} = 2.90 \times {10}^{-} 9$

#### 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:

$6.022 \times {10}^{23} \times {10}^{-} 2 = 6.022 \times {10}^{21}$ dollars.

Divided by $2.91 \times {10}^{8}$ people is:

$\frac{6.022 \times {10}^{21}}{2.91 \times {10}^{8}} = 2.07 \times {10}^{13} \left(\text{dollars"/"person}\right)$

The 2015 GDP per capita is:

$\frac{1.7419 \times {10}^{13}}{2.91 \times {10}^{8}} = 6.0 \times {10}^{4} \left(\text{dollars"/"person}\right)$

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

$\frac{6.0 \times {10}^{4}}{2.07 \times {10}^{13}} = 2.90 \times {10}^{-} 9$