Question 1: Round 2,567,893,124 to the nearest 1000.

Answer: 2,567,893,000

Question 2: Calculate the rounded value of 9,823,476,251 to the nearest 1000.

Answer: 9,823,476,000

Question 3: A skyscraper's height is measured as 1,245,678,900 millimeters. Round this measurement to the nearest 1000 millimeters.

Answer: 1,245,679,000 millimeters

Question 4: A bridge design requires measurements of 5,678,345,987 units. Round these to the nearest 1000 units.

Answer: 5,678,346,000

Question 5: Estimate the value of 7,123,456,789 rounded to the nearest 1000. Explain your reasoning.

Answer: 7,123,457,000

Question 6: Plot the graph of y=2,000,000,000 + x, where x ranges from 0 to 10,000,000,000 on the grid provided.

Answer: Students will draw the graph accordingly.

Question 7: Construct a rectangle on the grid with an area of approximately 9,876,543,210 square units, rounded to the nearest 1000. Show your steps.

Answer: Students will draw and approximate dimensions.

Question 8: Identify and correct the mistake: Rounding 3,456,789,123 to the nearest 1000 results in 3,456,789,000.

Answer: The correct answer is 3,456,789,000 — the original answer is correct; no mistake.

Question 9: A new city plan shows a building with a projected height of 12,345,678,910 millimeters. Round to the nearest 1000 millimeters, then convert to meters.

Answer: 12,345,679,000 mm; 12,345,679 meters

Question 10: Challenge: A dam's volume is estimated at 123,456,789,987 cubic meters. Round this to the nearest 1000 cubic meters. Discuss how this approximation might impact engineering calculations.

Answer: 123,456,790,000 cubic meters; the rounding simplifies calculations but may introduce small errors in precise measurements.

Question 11: Mixed Review: Round 987,654,321,654 to the nearest 1000. Then, estimate its value in scientific notation.

Answer: 987,654,322,000; approximately 9.87654322×10^11