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.)
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To determine the GDP per capita, you need to divide the GDP by the population. Using scientific notation: 1. GDP = \( 1.0703 \times 10^{13} \) 2. Population = \( 2.958 \times 10^{8} \) Now, calculating GDP per capita: \[ \text{GDP per capita} = \frac{1.0703 \times 10^{13}}{2.958 \times 10^{8}} \] This can be simplified as: \[ \text{GDP per capita} = \left( \frac{1.0703}{2.958} \right) \times 10^{(13 - 8)} = \left( \frac{1.0703}{2.958} \right) \times 10^{5} \] Calculating \( \frac{1.0703}{2.958} \approx 0.361 \). Thus, \[ \text{GDP per capita} \approx 0.361 \times 10^{5} = 36100 \] So the GDP per capita is approximately \( \$ 36,100.00 \). If you have any more questions, feel free to ask!
