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:
527 + 346 = 863.
Corrected: 527 + 346 = 873 because 2 + 4 = 6 in the tens place, but carrying 1 from the ones (7 + 6 = 13) makes it 7, not 6.
The corrected sentence is: "527 + 346 = 873 because 2 + 4 = 6 in the tens place, but carrying 1 from the ones (7 + 6 = 13) makes it 7, not 6." The error was regrouping error: the original sentence "527 + 346 = 863." needed to be fixed.
2. Fix the sentence:
682 - 345 = 347.
Corrected: 682 - 345 = 337 because 8 - 4 = 4 in the tens place, but borrowing 1 for the ones (12 - 5 = 7) makes it 3, not 4.
The corrected sentence is: "682 - 345 = 337 because 8 - 4 = 4 in the tens place, but borrowing 1 for the ones (12 - 5 = 7) makes it 3, not 4." The error was borrowing error: the original sentence "682 - 345 = 347." needed to be fixed.
3. Fix the sentence:
438 + 295 = 623.
Corrected: 438 + 295 = 733 because 8 + 5 = 13, carry 1, then 3 + 9 + 1 = 13, carry 1, then 4 + 2 + 1 = 7.
The corrected sentence is: "438 + 295 = 733 because 8 + 5 = 13, carry 1, then 3 + 9 + 1 = 13, carry 1, then 4 + 2 + 1 = 7." The error was computation error: the original sentence "438 + 295 = 623." needed to be fixed.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. 361 + 429 = 790.
Add ones: 1 + 9 = 10, write 0 and carry 1. Add tens: 6 + 2 + 1 = 9. Add hundreds: 3 + 4 = 7. The sum is 790.
2. 574 - 238 = 336.
Subtract ones: 4 - 8 needs borrowing, so 14 - 8 = 6. Subtract tens: 6 - 3 = 3 (after giving 1 ten away). Subtract hundreds: 5 - 2 = 3. The difference is 336.
3. 285 + 147 = 432.
Add ones: 5 + 7 = 12, write 2 and carry 1. Add tens: 8 + 4 + 1 = 13, write 3 and carry 1. Add hundreds: 2 + 1 + 1 = 4. The sum is 432.
4. 803 - 456 = 347.
Since 3 < 6 in the ones place, borrow across the zero: 13 - 6 = 7, 9 - 5 = 4 (tens), and 7 - 4 = 3 (hundreds). The difference is 347.
Part C: True or False?
Read each statement. Circle True or False.
1. When subtracting 500 - 263, you need to borrow from the hundreds place.
True False
True. Since 500 has zeros in the ones and tens places, you must borrow from the hundreds to have enough to subtract 263.
2. 194 + 306 = 500.
True False
True. Add ones: 4 + 6 = 10, carry 1. Add tens: 9 + 0 + 1 = 10, carry 1. Add hundreds: 1 + 3 + 1 = 5. The sum is 500.
3. The difference between 750 and 425 is 335.
True False
False. 750 - 425 = 325, not 335. Subtract ones: 0 - 5 needs borrowing, 10 - 5 = 5. Tens: 4 - 2 = 2. Hundreds: 7 - 4 = 3.