Choose the best answer for each of the 10 questions about adding and subtracting multi-digit numbers. Read each question carefully, then check the explanation to learn from any mistake.
Question 1 What is \(6{,}478 + 2{,}385\)?
A \(8,753\)B \(8,853\)C \(4,093\)D \(8,863\)Ones: 8 + 5 = 13, carry 1. Tens: 7 + 8 + 1 = 16, carry 1. Hundreds: 4 + 3 + 1 = 8. Thousands: 6 + 2 = 8. Forgetting a carry gives 8,753.
Question 2 What is \(5{,}000 - 1{,}246\)?
A \(4,246\)B \(3,754\)C \(3,764\)D \(3,854\)Regroup 5,000 as 4 thousands, 9 hundreds, 9 tens, and 10 ones, then subtract each place. Subtracting the smaller digit from the larger in each place gives 4,246.
Question 3 7 6 8 , 4 3 3 4 9 , 5 2 + Add 34,867 and 25,943. What is the sum?
A \(60,810\)B \(60,710\)C \(59,810\)D \(61,810\)Ones: 7 + 3 = 10. Tens: 6 + 4 + 1 = 11. Hundreds: 8 + 9 + 1 = 18. Thousands: 4 + 5 + 1 = 10. Ten thousands: 3 + 2 + 1 = 6. Missing the carry from the tens gives 60,710.
Question 4 Maya found \(8{,}204 - 3{,}759 = 4{,}445\). Which equation checks her answer?
A \(4{,}445 + 3{,}759 = 8{,}204\)B \(8{,}204 + 3{,}759 = 4{,}445\)C \(4{,}445 - 3{,}759 = 8{,}204\)D \(3{,}759 - 4{,}445 = 8{,}204\)To check a subtraction, add the difference to the number subtracted. The sum should equal the starting number.
Question 5 Total 12,000 Parts 7,450 ? Total 12,000 with one part 7,450. What is the unknown part?
A \(19,450\)B \(4,550\)C \(5,550\)D \(4,450\)Subtract the known part from the total: 12,000 - 7,450 = 4,550. Adding gives 19,450, which is more than the total.
Question 6 Estimate \(29{,}874 + 41{,}203\) by rounding each number to the nearest ten thousand.
A \(60,000\)B \(70,000\)C \(71,077\)D \(80,000\)29,874 rounds to 30,000 and 41,203 rounds to 40,000. The estimate is 70,000. The exact sum, 71,077, is not an estimate.
Question 7 A bakery sold 3,486 muffins in May and 2,974 muffins in June. How many muffins did it sell in all?
A \(6,450\)B \(6,360\)C \(512\)D \(6,460\)Add: 3,486 + 2,974 = 6,460. Subtracting gives 512, which answers how many more were sold in May.
Question 8 Start Regroup 1,000s 4 3 100s 0 9 10s 0 9 1s 5 15 4,005 regrouped. Use the regrouping to find \(4{,}005 - 1{,}768\).
A \(3,763\)B \(2,247\)C \(2,237\)D \(2,337\)Ones: 15 - 8 = 7. Tens: 9 - 6 = 3. Hundreds: 9 - 7 = 2. Thousands: 3 - 1 = 2. Skipping the regrouping gives 3,763.
Question 9 Which is a correct way to regroup 8,000?
A 7 thousands, 9 hundreds, 9 tens, 9 onesB 7 thousands, 10 hundreds, 10 tens, 0 onesC 7 thousands, 9 hundreds, 9 tens, 10 onesD 6 thousands, 10 hundreds, 10 tens, 10 ones7,000 + 900 + 90 + 10 = 8,000. The other choices total 7,999, 8,100, and 7,110.
Question 10 Maya had 20,000 points. She spent 4,750 points and then 3,825 points. How many points are left?
A \(11,425\)B \(11,525\)C \(12,425\)D \(8,575\)20,000 - 4,750 = 15,250. Then 15,250 - 3,825 = 11,425. The total spent is 8,575, which is not what the question asks.
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