Question

The area of Europe is approximately 9.94 × 106 square kilometers. Its population is approximately 7.31 × 108 people. What is the approximate population density (people per square kilometer) of Europe? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.

Answer 1

The population density is 73.54 people per square kilometer

Solution:

Given that,

Area of europe = $9.94 \times 10^6$ square kilometers

Population = $7.31 \times 10^8$

To find: population density

The formula for population density is given as:

$\text{ population density } = \frac{\text{ number of people }}{\text{ land area }}$

Substituting the values in formula, we get

$\text{Population density } = \frac{7.31 \times 10^8}{9.94 \times 10^6}\\\\\text{ use the law of exponent } \frac{a^m}{a^n} = a^{m-n}\\\\\text{Population density } = 0.7354 \times 10^{8-6}\\\\\text{Population density } = 0.7354 \times 10^2\\\\\text{Population density } = 73.541$

On rounding to nearest hundreth (two decimal places ), we get 73.54

Thus the population density is 73.54 people per square kilometer