fic Notation/Per Capita Question 19, *3 Part 3 of 3 Gross Domestic Product (GDP) is a measure of economic activity. GDP is the total a population of the country was about 295.8 million. a) Write each of these two numbers in scientific notation. b) Determine the GDP per capita by dividing the GDP by the population of the count a) The GDP for a country was about \( \$ 1.0703 \times 10^{13} \). (Use the multiplication symbol in the math palette as needed.) The population of the country was about \( 2.958 \times 10^{8} \). (Use the multiplication symbol in the math palette as needed.) b) The GDP per capita is \( \$ \) \( \square \) I (Type an integer or a decimal. Round to two decimal places as needed.)

To determine the **GDP per capita**, we'll follow these steps: ### Given: - **Gross Domestic Product (GDP)**: \( \$1.0703 \times 10^{13} \) - **Population**: \( 2.958 \times 10^{8} \) people ### Formula: \[ \text{GDP per capita} = \frac{\text{GDP}}{\text{Population}} \] ### Calculation: \[ \text{GDP per capita} = \frac{1.0703 \times 10^{13}}{2.958 \times 10^{8}} \] 1. **Divide the coefficients:** \[ \frac{1.0703}{2.958} \approx 0.3616 \] 2. **Subtract the exponents (since you're dividing like bases):** \[ 10^{13} \div 10^{8} = 10^{5} \] 3. **Combine the results:** \[ 0.3616 \times 10^{5} = 3.616 \times 10^{4} \] 4. **Convert to standard numerical form:** \[ 3.616 \times 10^{4} = 36,160 \] 5. **Express in dollars with two decimal places:** \[ \$36,160.00 \] ### Final Answer: **The GDP per capita is** \( \$36,160.00 \).