Final answer:
Jamie starts with 875 building pieces, and after giving away a castle set with 257 pieces and acquiring a helicopter set with 229 pieces, he has 847 pieces. Estimation using rounding confirms that this answer is reasonable.
Step-by-step explanation:
Jamie originally has 875 building pieces. When Jamie gives away his castle set, which has 257 pieces, we subtract that number from his original total. Jamie's new total becomes 875 - 257 = 618 pieces. After giving away the castle set, Jamie buys the helicopter set, which has 229 pieces. To find out how many building pieces Jamie has now, we add the pieces from the helicopter set to his current total: 618 + 229 = 847 pieces.
To estimate and check if the answer is reasonable, we can use rounding. Jamie starts with about 900 pieces (rounding 875 to the nearest hundred), gives away about 300 pieces (rounding 257 up), and then adds about 200 pieces (rounding 229 down). Following this estimation, Jamie should have around 800 pieces, which is close to the exact answer of 847, indicating our calculation is reasonable.