Three-Digit Subtraction With Regrouping Worksheets for Grade 2

Comprehensive practice worksheets on three-digit subtraction with regrouping: borrowing, place value understanding, and problem-solving strategies.

Worksheet 1 & 2: Basic and Intermediate Practice
1 Basic Regrouping Worksheet
Worksheet 1: Basic Regrouping Problems

Complete the following subtraction problems. Remember to borrow when needed!

Instructions:

How to complete: Solve each subtraction problem by borrowing when the top digit is smaller than the bottom digit. Show your work by marking where you borrowed.

Steps to follow:
  1. Align numbers by place value
  2. Start from the ones place and move left
  3. If top digit is smaller than bottom digit, borrow from the next higher place value
  4. Subtract each column after borrowing
  5. Write your answer in the space provided
1
421 - 153
__________
2
352 - 184
__________
3
513 - 247
__________
4
624 - 358
__________
5
432 - 165
__________
6
741 - 283
__________
7
523 - 176
__________
8
634 - 289
__________
Answer Key:

1) 268, 2) 168, 3) 266, 4) 266, 5) 267, 6) 458, 7) 347, 8) 345

Tips for success:

• Check each column: Before subtracting, see if you need to borrow

• Mark your borrowing: Cross out the number you borrowed from and write the new number

• Verify your answer: Add your answer to the bottom number to see if you get the top number

2 Intermediate Regrouping Worksheet
Worksheet 2: Intermediate Regrouping Problems

Solve these subtraction problems that require multiple borrowing steps.

Challenge Level:

Intermediate: These problems may require borrowing from multiple place values in sequence. Pay careful attention to zeros!

1
502 - 237
__________
2
405 - 168
__________
3
603 - 249
__________
4
704 - 358
__________
5
801 - 367
__________
6
902 - 475
__________
7
300 - 158
__________
8
500 - 264
__________
Example Solution Process:

For 502 - 237:

• Ones: 2 - 7 (need to borrow, but tens is 0, so borrow from hundreds first)

• Borrow 1 from hundreds: 5 becomes 4, tens becomes 10

• Borrow 1 from tens: 10 becomes 9, ones becomes 12

• Now: 12 - 7 = 5, 9 - 3 = 6, 4 - 2 = 2

• Answer: 265

Answer Key:

1) 265, 2) 237, 3) 354, 4) 346, 5) 434, 6) 427, 7) 142, 8) 236

Advanced strategies:

• Chain borrowing: When you have zeros, you may need to borrow from multiple places

• Start from highest: When dealing with zeros, always borrow from the highest possible place first

• Double check: Verify your answers by adding back

Worksheet 3: Advanced Practice and Definitions
ABC - DEF = (A-D) × 100 + (B-E) × 10 + (C-F) (with regrouping when needed)
Three-Digit Subtraction Formula
Place Value
H T O
Hundreds, Tens, Ones
Borrowing Rule
When A < B in column
Borrow 1 from next higher place value
Borrowing Value
1 H = 10 T, 1 T = 10 O
Value exchange in borrowing
Key definitions:

Three-digit number: A number with three digits, representing hundreds, tens, and ones.

Place value: The value of a digit based on its position in the number (hundreds, tens, ones).

Regrouping/Borrowing: Taking 1 from a higher place value and adding 10 to a lower place value when the top digit is smaller than the bottom digit.

Minuend: The number being subtracted from (top number).

Subtrahend: The number being subtracted (bottom number).

Difference: The result of subtraction.

3 Advanced Regrouping Worksheet
Worksheet 3: Advanced Regrouping Problems

These problems require multiple steps and careful attention to place value.

1
600 - 247
__________
2
800 - 364
__________
3
705 - 289
__________
4
903 - 478
__________
5
400 - 186
__________
6
500 - 273
__________
7
301 - 157
__________
8
602 - 295
__________
Advanced Example:

For 600 - 247:

• Ones: 0 - 7 (need to borrow, but tens is also 0)

• Borrow 1 from hundreds: 6 becomes 5, tens becomes 10

• Borrow 1 from tens: 10 becomes 9, ones becomes 10

• Now: 10 - 7 = 3, 9 - 4 = 5, 5 - 2 = 3

• Answer: 353

Answer Key:

1) 353, 2) 436, 3) 416, 4) 425, 5) 214, 6) 227, 7) 144, 8) 307

Complete methodology:
  1. Align numbers: Stack the minuend (top number) and subtrahend (bottom number) vertically by place value
  2. Start from ones: Begin subtracting from the ones place and move left
  3. Check for borrowing: If top digit is smaller than bottom digit, borrowing is necessary
  4. Perform borrowing: Take 1 from higher place value (subtract 1) and add 10 to lower place value (add 10)
  5. Subtract columns: Subtract each column after resolving borrowing needs
  6. Repeat as needed: Continue checking each column and borrowing if necessary
  7. Verify: Check that the answer makes sense by adding difference + subtrahend = minuend
Worksheets 4 & 5: Word Problems and Mixed Practice
4 Word Problem Worksheet
Worksheet 4: Subtraction Word Problems

Solve these word problems by setting up subtraction equations and solving with regrouping.

Problem Solving Strategy:

Steps: 1) Read the problem carefully, 2) Identify the numbers, 3) Set up the subtraction, 4) Solve with regrouping, 5) Check your answer.

1
Sarah had 421 stickers. She gave 153 to her friend. How many stickers does she have left?
__________
2
A school has 502 students. 237 students went on a field trip. How many students stayed at school?
__________
3
Tom collected 600 baseball cards. He traded 247 cards with his friend. How many cards does he have now?
__________
4
A bakery made 705 cupcakes. They sold 368 cupcakes. How many cupcakes are left?
__________
5
There were 800 books in the library. Students borrowed 453 books. How many books remain?
__________
6
A farmer harvested 902 apples. He sold 578 apples. How many apples does he have left?
__________
Example Solution:

Problem 1: Sarah had 421 stickers, gave away 153

• Equation: 421 - 153

• Ones: 1 - 3 (need to borrow: 11 - 3 = 8)

• Tens: 1 - 5 (need to borrow: 11 - 5 = 6)

• Hundreds: 3 - 1 = 2

• Answer: 268 stickers

Answer Key:

1) 268, 2) 265, 3) 353, 4) 337, 5) 347, 6) 324

5 Mixed Practice Worksheet
Worksheet 5: Mixed Practice

Review all types of three-digit subtraction problems with regrouping.

Comprehensive Review:

Challenge: Mix of basic, intermediate, and advanced problems including word problems and problems with zeros.

1
342 - 175
__________
2
500 - 268
__________
3
634 - 289
__________
4
401 - 157
__________
5
723 - 468
__________
6
800 - 345
__________
7
512 - 256
__________
8
903 - 578
__________
Mixed Practice Strategy:

For each problem:

1) Align numbers by place value

2) Check each column for borrowing needs

3) Perform borrowing when necessary

4) Subtract each column

5) Verify your answer

Final Answer Key:

1) 167, 2) 232, 3) 345, 4) 244, 5) 255, 6) 455, 7) 256, 8) 325

Master the skill:

• Practice daily: Work on a few problems each day

• Check your work: Always verify by adding back

• Focus on zeros: Pay special attention to problems with zeros

• Time yourself: Build speed while maintaining accuracy

Complete Summary: Three-Digit Subtraction With Regrouping
ABC - DEF = (A-D) × 100 + (B-E) × 10 + (C-F) (with regrouping when needed)
Three-Digit Subtraction Formula
Key definitions:

Three-digit number: A number with three digits representing hundreds (H), tens (T), and ones (O).

Place value: The value of a digit based on its position in the number (hundreds, tens, ones).

Regrouping/Borrowing: Taking 1 from a higher place value and adding 10 to a lower place value when the top digit is smaller than the bottom digit.

Minuend: The number being subtracted from (top number).

Subtrahend: The number being subtracted (bottom number).

Difference: The result of subtraction.

Complete methodology:
  1. Align numbers: Stack the minuend (top number) and subtrahend (bottom number) vertically by place value
  2. Start from ones: Begin subtracting from the ones place and move left to tens and then hundreds
  3. Check for borrowing: If the top digit in a column is smaller than the bottom digit, borrowing is necessary
  4. Perform borrowing: Take 1 from the next higher place value (subtract 1 from it) and add 10 to the current place value (add 10 to it)
  5. Subtract columns: Subtract each column after resolving borrowing needs
  6. Repeat as needed: Continue checking each column and borrowing if necessary
  7. Verify: Check that the answer makes sense by adding the difference to the subtrahend to get the minuend
Tip 1: Always align numbers by place value before subtracting.
Tip 2: Subtract from right to left (ones, tens, hundreds).
Tip 3: If the top digit is smaller than the bottom digit, you MUST borrow.
Tip 4: Remember: 1 in higher place value = 10 in lower place value.
Tip 5: Sometimes you need to borrow from multiple places (chain borrowing).
Tip 6: Check your answer by adding the difference to the number you subtracted.
Tip 7: When dealing with zeros, you may need to borrow from higher place values in a chain.
Tip 8: Draw arrows or marks to show where you borrowed from and where you added to.
Common errors: Misaligning numbers, forgetting to reduce the higher place value when borrowing, subtracting smaller from larger without borrowing, forgetting to handle zeros properly, borrowing when it's not needed.
Key insight: Borrowing doesn't change the value of the number, it just redistributes the value among place values. The total value remains the same.
Memory aid: Think of borrowing like exchanging money: if you need more ones but only have tens, you exchange 1 ten for 10 ones.
Checking method: Always verify by adding your answer to the subtracted number to see if you get the original number.
Rules to know by heart:

• Alignment rule: Stack numbers by place value

• Borrowing necessity: When top digit < bottom digit, borrow

• Borrowing value: 1 in higher place = 10 in lower place

• Order: Subtract ones, then tens, then hundreds

• Verification: Check by adding difference + subtracted = original number

• Chain borrowing: When multiple place values need borrowing, start from the highest

• Zero handling: Special care needed when zeros are in the minuend

Multiple Examples

Simple borrowing: 324 - 157 (borrow once)

Chain borrowing: 405 - 178 (borrow twice)

Zero handling: 600 - 247 (start with zeros)

Verification: 324 - 157 = 167, so 167 + 157 = 324 ✓

Questions & Answers

Question: How do I know when I need to borrow in subtraction? Sometimes I get confused.

Answer: You need to borrow when the top digit in a column is smaller than the bottom digit. Here's how to check each column:

  1. Ones place: Is the top digit ≥ bottom digit? If not, borrow.
  2. Tens place: Is the top digit ≥ bottom digit? If not, borrow.
  3. Hundreds place: Is the top digit ≥ bottom digit? If not, borrow.

For example, in 421 - 153:
• Ones: 1 vs 3 → 1 < 3, so borrow from tens
• Tens: 2 vs 5 → 2 < 5, so borrow from hundreds
• Hundreds: 4 vs 1 → 4 > 1, so no borrowing needed

Remember: If the top number is smaller than the bottom number in ANY column, you must borrow from the next higher place value.

Question: My child is struggling with the concept of borrowing. Are there any hands-on activities to help them understand?

Answer: Yes! Hands-on activities are excellent for understanding borrowing:

  1. Base-10 blocks: Use unit cubes, rods (tens), and flats (hundreds) to physically show trading
  2. Money: Use play money - trade 1 ten-dollar bill for 10 one-dollar bills
  3. Eggs in cartons: Use egg cartons for tens and individual eggs for ones
  4. Counters: Use beans or counters grouped in tens

For example, with 234 - 157, start with 2 hundreds, 3 tens, and 4 ones. When subtracting 7 ones from 4 ones, you need to "trade" one of the tens for 10 more ones, showing that 234 becomes 2 hundreds, 2 tens, and 14 ones.

This physical representation helps children visualize why borrowing works and makes the abstract concept concrete.

Question: What should I do when I have a zero in the tens place like in 502 - 137? It's hard to borrow from zero.

Answer: When you have a zero and need to borrow, you must go to the next higher place value! Here's the step-by-step process:

  1. Look at ones place: 2 - 7 → Need to borrow, but tens is 0
  2. Go to hundreds: Borrow 1 from the 5 in hundreds place (making it 4)
  3. Add to tens: This turns the 0 tens into 10 tens
  4. Now borrow from tens: Take 1 from the 10 tens (making it 9), add 10 to ones (making 2 into 12)
  5. Complete subtraction: 12 - 7 = 5, 9 - 3 = 6, 4 - 1 = 3

Think of it as a chain: if you can't borrow from your immediate neighbor (the tens), you ask the next door neighbor (the hundreds) to help!

So 502 - 137 = 365.