Question 1: Calculate the truncation of 56.789 to two decimal places.

Answer: 56.78

Question 2: Determine the difference between 123.456 and its truncated value to one decimal place.

Answer: 0.056

Question 3: Explain why truncating 9.999 to one decimal place results in 10.0, and identify the common mistake.

Answer: Truncation cuts off digits beyond the specified decimal place without rounding. A common mistake is rounding instead of truncating, which would give 10.0, but students should recognize that truncation simply removes digits after the first decimal.

Question 4: Plot the point corresponding to 3.1415 truncated to three decimal places on the grid.

Answer: 3.141

Question 5: Construct a triangle with side lengths 7.89, 10.34, and 5.99 after truncation. Verify if it’s possible to form a triangle.

Answer: Yes, because the sum of any two sides is greater than the third (7.89+10.34=18.23 > 5.99, 7.89+5.99=13.88 > 10.34, 10.34+5.99=16.33 > 7.89).

Question 6: Calculate the difference between 45.6789 and its truncation to three decimal places.

Answer: 0.0009

Question 7: A price is $49.995. Truncate it to two decimal places and explain the difference between truncation and rounding in this context.

Answer: Truncated price: $49.99. Rounding would give $50.00. Truncation cuts off digits after two decimals without rounding, whereas rounding adjusts the last digit based on the following digit.

Question 8: Identify and correct the mistake in this truncation: 8.7654 truncated to two decimal places equals 8.76.

Answer: No mistake; the truncation is correct. It correctly drops digits beyond two decimal places.

Question 9: Determine the difference between 200.9999 and its truncation to three decimal places.

Answer: 0.0009

Question 10: Challenge: Truncate 0.000456789 to four decimal places. Then, calculate the difference between the original number and the truncated value.

Answer: Truncated value: 0.0004; Difference: 0.000056789

Question 11: Mixed Review: Truncate 15.98765 to three decimal places and explain how the result differs from rounding to three decimal places.

Answer: Truncated: 15.987. Rounded: 15.988. Truncation cuts digits beyond the third decimal without rounding, which sometimes results in a smaller value.