Question 1: Round the population of a city with 76,543 people to the nearest 1000.

Answer: 77,000

Question 2: Estimate the total number of people in 3 towns with populations 24,987; 105,432; and 67,890 by rounding each to the nearest 1000 and then adding.

Answer: 25,000 + 105,000 + 68,000 = 198,000

Question 3: A country has a population of approximately 12,346,789. Round this number to the nearest 1000.

Answer: 12,347,000

Question 4: Construct a bar graph to estimate the populations of five towns with populations 9,876; 15,432; 23,456; 8,765; and 19,543, each rounded to the nearest 1000. Show your approximate populations on the graph.

Answer: 9,876 ≈ 10,000; 15,432 ≈ 15,000; 23,456 ≈ 23,000; 8,765 ≈ 9,000; 19,543 ≈ 20,000

Question 5: A survey estimates that a small town has a population of about 4,567 people. Round this to the nearest 1000.

Answer: 5,000

Question 6: Estimate the population of a country with 145,678,901 people by rounding to the nearest 1000. Show your working.

Answer: 145,678,901 ≈ 145,679,000

Question 7: A city has a population of 321,234. Round this number to the nearest 1000. Then, estimate the population if it increases by 5% based on the rounded figure.

Answer: Round to 321,000. 5% of 321,000 = 16,050; estimated new population ≈ 337,000

Question 8: Identify and correct the mistake: A student estimates the population of a town as 78,000 when the actual population is 78,543, by rounding to the nearest 1000.

Answer: The estimate should be 79,000, not 78,000, because 78,543 rounds up to 79,000.

Question 9: Estimate the total population of four villages with populations 2,345; 3,678; 1,245; and 4,567 by rounding each to the nearest 1000 and summing.

Answer: 2,345 ≈ 2,000; 3,678 ≈ 4,000; 1,245 ≈ 1,000; 4,567 ≈ 5,000; total = 2,000 + 4,000 + 1,000 + 5,000 = 12,000

Question 10: A report states that the population of a region is approximately 9,876,543. Round this to the nearest 1000 and explain why this is a useful estimate.

Answer: Rounded to 9,877,000. This estimate simplifies large numbers for quick understanding and comparison.