Question 1: Estimate the product of 3.48 and 2.76 by rounding each to one decimal place. Calculate the actual product for comparison.

Answer: 10.557

Question 2: Estimate the result of multiplying 0.97 by 4.2. Show your working.

Answer: 4

Question 3: A car travels approximately 123.7 km in a day. Estimate this distance by rounding to the nearest ten. Then, multiply the rounded figure by 3 to estimate the total distance traveled in three days.

Answer: 370 km

Question 4: Estimate the product of 7.89 and 5.67 by rounding each to one decimal place. Then, calculate the actual product.

Answer: 44.7873

Question 5: Estimate the total cost of buying 4.3 kg of apples at approximately £2.15 per kg. Round to the nearest pound for quick calculation.

Answer: £9

Question 6: Estimate the product of 0.56 and 1.89. Use rounding to make the calculation easier, then compare with the exact answer.

Answer: 1.1

Question 7: In a factory, approximately 125.3 meters of fabric are used each day. Estimate the total fabric used in 7 days by rounding the daily amount.

Answer: 875 meters

Question 8: Estimate the product of 8.25 and 4.92 by rounding to the nearest whole number before multiplying.

Answer: 40

Question 9: Estimate 2.47 multiplied by 6.53. Then, verify your estimate with the exact calculation.

Answer: 16.1

Question 10: Estimate the total cost of 12.5 items priced at approximately £4.37 each, by rounding the price and quantity before multiplying.

Answer: £55

Question 11: Identify and correct the mistake in this estimation: Students estimate 6.78 × 4.99 as 33.9, but the actual product is about 33.8. Explain the common mistake and how to improve the estimate.

Answer: Overestimating or rounding too coarsely; better to round to 7 and 5, giving 35, which is closer.