# 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

#### Answer:

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

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

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:

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

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