down the population number in full numeric form, induding all the digits and separating thousands. Determine the difference in South African population between 2011 and 2022 . 2.3 The South African population grew by \( 19,8 \% \) between 2011 and 2022 from 51 , million to 62 million. Show by means of calculations whether the percentage increase is correct or not. It is projected that the South African population will increase by \( 17,045 \% \) from 2022 to 2030 . Determine the projected South African population in 2030

We are given that the South African population was 51 million in 2011 and 62 million in 2022. In full numeric form these figures are:   51,000,000 (in 2011) and 62,000,000 (in 2022). Step 1. Determine the difference in population from 2011 to 2022.  Difference = 62,000,000 – 51,000,000 = 11,000,000. Step 2. Check the percentage increase. The claimed percentage increase is 19,8 % (using a comma for a decimal, meaning 19.8%). To check this we first compute:  Percentage increase = (Increase / Original population) × 100    = (11,000,000 ÷ 51,000,000) × 100. Calculate the fraction:   11,000,000 ÷ 51,000,000 = 11 ÷ 51 ≈ 0.215686. Convert to a percentage:   0.215686 × 100 ≈ 21.57 %. Thus, based on these numbers the actual percentage increase is about 21.57 %, not 19.8 % as stated. Therefore, the given percentage increase is incorrect. Step 3. Determine the projected South African population in 2030. It is projected that the population will increase by 17,045 % (again, note that in this notation the comma represents a decimal point, so this means 17.045%). An increase of 17.045% means the population in 2030 would be:   Projected population = 2022 population × (1 + 0.17045)     = 62,000,000 × 1.17045. Now, calculate the product:   Increase amount = 62,000,000 × 0.17045 ≈ 10,567,900,   So, Projected population ≈ 62,000,000 + 10,567,900 = 72,567,900. Thus, the projected South African population in 2030 is approximately 72,567,900. Summary of answers: 1. Population difference (2022 – 2011): 11,000,000. 2. The calculated percentage increase is approximately 21.57 %, so the stated 19.8 % is not correct. 3. Projected 2030 population: approximately 72,567,900.