Question 1: Estimate the length of a pencil as 12.35 cm and a ruler as 12.305 cm. Which one is longer? Show your reasoning.

Answer: Pencil is longer because 12.35 > 12.305

Question 2: Order the following lengths from shortest to longest: 5.678, 5.687, 5.675.

Answer: 5.675, 5.678, 5.687

Question 3: A garden hose measures 7.092 meters, and a rope measures 7.009 meters. Which is longer? Explain your answer.

Answer: Garden hose is longer because 7.092 > 7.009

Question 4: Calculate the difference in length between a ribbon measuring 3.456 meters and one measuring 3.465 meters.

Answer: 0.009

Question 5: A track is 250.75 meters long, and a jogging route is 251.2 meters. Which is longer? Show your work.

Answer: Jogging route is longer because 251.2 > 250.75

Question 6: Order these lengths from shortest to longest: 9.999, 10.009, 9.990.

Answer: 9.990, 9.999, 10.009

Question 7: In a race, runner A runs 4.876 km and runner B runs 4.867 km. Who ran farther? Show your reasoning.

Answer: Runner A ran farther because 4.876 > 4.867

Question 8: Construct a line segment on the grid that measures exactly 4.23 centimeters.

Answer: Student draws a segment of length 4.23 cm

Question 9: Compare the lengths 0.4789 meters and 0.478 meters. Which one is longer? Explain.

Answer: 0.4789 meters is longer because it has more decimal places and a larger value.

Question 10: A measuring tape shows 2.345 meters for a piece of wood, and another measures 2.3457 meters. Which is longer? Show your working.

Answer: The second measurement (2.3457 m) is longer because 2.3457 > 2.345

Question 11: Error Analysis: A student writes that 6.789 > 6.798. Is this correct? If not, correct the mistake and explain.

Answer: Incorrect because 6.789 < 6.798. The correct statement is 6.789 < 6.798.