Answer :
To determine the country with the greatest and least population densities, we need to calculate the population density of each country using the formula:
[tex]\[ \text{Population Density} = \frac{\text{Population}}{\text{Area}} \][/tex]
Let's go through each country step-by-step.
### Step 1: Calculate the population density of Nigeria
1. Population of Nigeria: 110,790,000
2. Area of Nigeria: 923,768 sq km
[tex]\[ \text{Population Density of Nigeria} = \frac{110,790,000}{923,768} \approx 119.93 \text{ people per sq km} \][/tex]
### Step 2: Calculate the population density of Canada
1. Population of Canada: 30,205,000
2. Area of Canada: 9,976,140 sq km
[tex]\[ \text{Population Density of Canada} = \frac{30,205,000}{9,976,140} \approx 3.03 \text{ people per sq km} \][/tex]
### Step 3: Calculate the population density of South Korea
1. Population of South Korea: 46,225,000
2. Area of South Korea: 99,720 sq km
[tex]\[ \text{Population Density of South Korea} = \frac{46,225,000}{99,720} \approx 463.55 \text{ people per sq km} \][/tex]
### Step 4: Compare the population densities
Now that we have the population densities:
1. Nigeria: 119.93 people per sq km
2. Canada: 3.03 people per sq km
3. South Korea: 463.55 people per sq km
From these calculations:
- The greatest population density: South Korea with approximately 463.55 people per sq km.
- The least population density: Canada with approximately 3.03 people per sq km.
### Conclusion
- Greatest Population Density: South Korea ([tex]\(\approx 463.55\)[/tex] people per sq km). (3 points)
- Least Population Density: Canada ([tex]\(\approx 3.03\)[/tex] people per sq km). (3 points)
[tex]\[ \text{Population Density} = \frac{\text{Population}}{\text{Area}} \][/tex]
Let's go through each country step-by-step.
### Step 1: Calculate the population density of Nigeria
1. Population of Nigeria: 110,790,000
2. Area of Nigeria: 923,768 sq km
[tex]\[ \text{Population Density of Nigeria} = \frac{110,790,000}{923,768} \approx 119.93 \text{ people per sq km} \][/tex]
### Step 2: Calculate the population density of Canada
1. Population of Canada: 30,205,000
2. Area of Canada: 9,976,140 sq km
[tex]\[ \text{Population Density of Canada} = \frac{30,205,000}{9,976,140} \approx 3.03 \text{ people per sq km} \][/tex]
### Step 3: Calculate the population density of South Korea
1. Population of South Korea: 46,225,000
2. Area of South Korea: 99,720 sq km
[tex]\[ \text{Population Density of South Korea} = \frac{46,225,000}{99,720} \approx 463.55 \text{ people per sq km} \][/tex]
### Step 4: Compare the population densities
Now that we have the population densities:
1. Nigeria: 119.93 people per sq km
2. Canada: 3.03 people per sq km
3. South Korea: 463.55 people per sq km
From these calculations:
- The greatest population density: South Korea with approximately 463.55 people per sq km.
- The least population density: Canada with approximately 3.03 people per sq km.
### Conclusion
- Greatest Population Density: South Korea ([tex]\(\approx 463.55\)[/tex] people per sq km). (3 points)
- Least Population Density: Canada ([tex]\(\approx 3.03\)[/tex] people per sq km). (3 points)