Question 1: Calculate the lower bound and upper bound of 47.8 when rounding to the nearest whole number.

Answer: {"lowerBound":"47","upperBound":"48"}

Question 2: Round 123.56 to the nearest whole number and identify its lower and upper bounds.

Answer: {"rounded":"124","lowerBound":"123","upperBound":"124"}

Question 3: Estimate the product of 56 and 89 by calculating the lower and upper bounds.

Answer: {"productLowerBound":"50 * 80 = 4000","productUpperBound":"60 * 90 = 5400"}

Question 4: A shop sells an item for $49.99. Using bounds, estimate the price as a whole number and justify your answer.

Answer: The lower bound is $49, and the upper bound is $50, so the estimated price is between $49 and $50.

Question 5: Find the lower bound and upper bound when rounding 0.045 to the nearest thousandth.

Answer: {"lowerBound":"0.045","upperBound":"0.046"}

Question 6: A student estimates the sum of 157 and 298 by bounds. What are the lower and upper bounds of the sum?

Answer: {"sumLowerBound":"150 + 290 = 440","sumUpperBound":"160 + 300 = 460"}

Question 7: Construct a rectangle on the grid with a length between 7 and 8 units and width between 3 and 4 units. Calculate the lower and upper bounds for the area.

Answer: {"areaLowerBound":"7 * 3 = 21","areaUpperBound":"8 * 4 = 32"}

Question 8: A car travels approximately 135 km in 2 hours. Using bounds, estimate the lower and upper bounds for the speed in km/h.

Answer: {"speedLowerBound":"130 / 2 = 65 km/h","speedUpperBound":"140 / 2 = 70 km/h"}

Question 9: A box contains between 95 and 105 marbles. If 4 marbles are removed, what are the new bounds for the number of marbles remaining?

Answer: {"remainingLowerBound":"95 - 4 = 91","remainingUpperBound":"105 - 4 = 101"}

Question 10: Identify the common mistake in estimating bounds when rounding 9.96 to the nearest whole number and explain how to correct it.

Answer: The mistake is rounding 9.96 to 10, then estimating bounds as exactly 10. The correct bounds are from 9.5 to 10.5, so the lower bound is 9.5 and upper bound is 10.5.