Question 1: Truncate 3.9876 to 2 decimal places.

Answer: 3.98

Question 2: Round 7.451 to 1 decimal place.

Answer: 7.5

Question 3: Truncate 0.826 to the nearest tenth.

Answer: 0.8

Question 4: Round 12.349 to the nearest whole number.

Answer: 12

Question 1: A car travels 123.456 km. If we truncate the distance to 2 decimal places, what is the distance recorded? Explain why truncation might give a different result than rounding.

Answer: 123.45; truncation cuts off after the second decimal without rounding up, which can underestimate the actual distance.

Question 2: A supermarket price tag shows $7.987. If a customer’s total bill is calculated using truncation to 2 decimal places, what is the amount? How does this compare to rounding?

Answer: $7.98; truncation results in a slightly lower amount than rounding, which would be $7.99.

Question 1: A cyclist’s average speed is measured as 18.768 km/h. Truncate this speed to 2 decimal places for reporting. Why might truncation be used instead of rounding in official records?

Answer: 18.76 km/h; truncation might be used to avoid overstating the speed, especially in safety or legal contexts.

Question 1: Calculate the difference between rounding 5.6789 to 2 decimal places and truncating 5.6789 to 2 decimal places.

Answer: 0.01

Question 2: A sum of money is $1234.5678. Truncate the amount to 3 decimal places and compare it with the rounded amount. Which is larger and why?

Answer: Rounded amount: 1234.568; truncated: 1234.567; rounded is larger because it accounts for the next digit if 5 or above.

Question 1: Truncate 9.9999 to three decimal places and then round it to three decimal places. What are the results?

Answer: Truncated: 9.999; Rounded: 10.000

Question 2: Identify the common mistake made when students confuse truncation with rounding and suggest how to avoid it.

Answer: Mistake: treating truncation as rounding or vice versa. To avoid it, always check whether digits are cut off or rounded up.