Question 1: Calculate the truncated value of 12.987 to 2 decimal places.

Answer: 12.98

Question 2: Round 5.736 to 2 decimal places.

Answer: 5.74

Question 3: A scientist records a measurement as 23.4567 units. Truncate this measurement to 3 decimal places.

Answer: 23.456

Question 4: Round the number 0.04987 to 3 decimal places.

Answer: 0.050

Question 5: A measurement from an experiment is recorded as 7.89123. Truncate to 4 decimal places.

Answer: 7.8912

Question 6: Round 13.9999 to the nearest whole number.

Answer: 14

Question 7: A scientist calculates a value as 17.23456. Truncate this to 3 decimal places.

Answer: 17.234

Question 8: Round 9.87654 to 2 decimal places.

Answer: 9.88

Question 9: A measurement was recorded as 0.004567. Truncate to 4 decimal places.

Answer: 0.0045

Question 10: A scientist records a value as 45.6789 units. Round to 3 decimal places.

Answer: 45.679

Question 11: In an experiment, a measurement is 3.141592. Truncate to 2 decimal places.

Answer: 3.14

Question 12: Explain the difference between truncating and rounding a measurement in a scientific context.

Answer: Truncating cuts off digits beyond a certain decimal place without rounding, potentially underestimating or overestimating. Rounding adjusts the last digit based on the following digit, providing a closer approximation to the actual value.

Question 13: A researcher records a value of 6.78925 units. To maintain consistency, they truncate to 3 decimal places but mistakenly round instead. Identify and correct the mistake.

Answer: The student should truncate to 6.789, but if they round, they get 6.789 or 6.79 depending on the rounding method. The correction is to truncate, not round, so the correct value is 6.789.

Question 14: Construct a measurement line on the grid where a length is recorded as 15.6789 units, then truncate to 3 decimal places.

Answer: 15.678