Chapter 7.2, Problem 18CYU

To determine

To calculate: The number of households in Nevada in $2013$ .

Answer to Problem 18CYU

The number of households in Nevada in $2013$

  ${10}^6$ .

Explanation of Solution

Given information: The population of Nevada was $2790136$ with an average of $2.70$ persons living in each household.

Calculation: The population of Nevada was $2790136$ with an average of $2.70$ persons living in each household.

To use order of magnitude to approximate the number of households in Nevada in $2013$ , round the population and average persons per household to the nearest power of $10$ .

  $2790136$ rounded to the nearest power of $10$ is ${10}^6$ .

  $2.70$ is closer to $1={10}^0$

The approximate number of households is:

  $\begin{array}{l}\mathrm{number}\mathrm{of}\mathrm{households}=\frac{\mathrm{population}}{\mathrm{average}\mathrm{person}\mathrm{per}\mathrm{household}}\\ =\frac{{10}^6}{{10}^0}={10}^{6-0}={10}^6\end{array}$

Thus, the number of households in Nevada in $2013$ is ${10}^6$ .