Three-Digit Addition and Subtraction — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
716 - 389 = 337.
Corrected: 716 - 389 = 327 because 11 - 8 = 3 in the tens (after borrowing), not 3 tens remaining as shown.
The corrected sentence is: "716 - 389 = 327 because 11 - 8 = 3 in the tens (after borrowing), not 3 tens remaining as shown." The error was borrowing error: the original sentence "716 - 389 = 337." needed to be fixed.
2. Fix the sentence:
254 + 378 = 622.
Corrected: 254 + 378 = 632 because 5 + 7 = 12 in the tens place, carry 1 to hundreds, so 2 + 3 + 1 = 6 and the tens digit is 3, not 2.
The corrected sentence is: "254 + 378 = 632 because 5 + 7 = 12 in the tens place, carry 1 to hundreds, so 2 + 3 + 1 = 6 and the tens digit is 3, not 2." The error was regrouping error: the original sentence "254 + 378 = 622." needed to be fixed.
3. Fix the sentence:
900 - 457 = 553.
Corrected: 900 - 457 = 443 because you must borrow across zeros: 10 - 7 = 3, 9 - 5 = 4, 8 - 4 = 4.
The corrected sentence is: "900 - 457 = 443 because you must borrow across zeros: 10 - 7 = 3, 9 - 5 = 4, 8 - 4 = 4." The error was computation error: the original sentence "900 - 457 = 553." needed to be fixed.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. 463 + 289 = 752.
Add ones: 3 + 9 = 12, write 2 and carry 1. Add tens: 6 + 8 + 1 = 15, write 5 and carry 1. Add hundreds: 4 + 2 + 1 = 7. The sum is 752.
2. 841 - 567 = 274.
Subtract ones: 1 < 7, so borrow: 11 - 7 = 4. Subtract tens: 3 - 6 needs borrowing again: 13 - 6 = 7. Hundreds: 7 - 5 = 2. The difference is 274.
3. 178 + 354 = 532.
Add ones: 8 + 4 = 12, write 2 and carry 1. Add tens: 7 + 5 + 1 = 13, write 3 and carry 1. Add hundreds: 1 + 3 + 1 = 5. The sum is 532.
4. 605 - 278 = 327.
Since 5 < 8 and there is a 0 in the tens place, borrow across the zero: 15 - 8 = 7, 9 - 7 = 2, 5 - 2 = 3. The difference is 327.
Part C: True or False?
Read each statement. Circle True or False.
1. 356 + 244 = 600.
True False
True. Add ones: 6 + 4 = 10, carry 1. Add tens: 5 + 4 + 1 = 10, carry 1. Add hundreds: 3 + 2 + 1 = 6. The sum is exactly 600.
2. When you subtract 832 - 519, you do not need to borrow at all.
True False
False. In the ones place, 2 < 9, so you must borrow from the tens to subtract. You do need borrowing for this problem.
3. The sum of 199 and 301 is 400.
True False
False. 199 + 301 = 500, not 400. Add ones: 9 + 1 = 10, carry 1. Tens: 9 + 0 + 1 = 10, carry 1. Hundreds: 1 + 3 + 1 = 5.