🎓 Grade 2📄 Free PDF✅ Answer Keys🎯 4 Classroom Sets

3-Digit Subtraction with Regrouping · Free Worksheets (Grade 2)

Q: How do you solve a 3-digit subtraction with regrouping problem step by step?

Here is a worked example: "Calculate vertically: 635 − 278". Solution: 1. Ones: 5 < 8. Borrow 1 ten from 3 tens. Tens becomes 2; ones becomes 15. 15 − 8 = 7. 2. Tens: 2 < 7. Borrow 1 hundred from 6 hundreds. Hundreds becomes 5; tens becomes 12. 12 − 7 = 5. 3. Hundreds: 5 − 2 = 3. 4. Final Difference: 357. (Check: 357 + 278 = 635 ✅)

Q: What is the core learning objective for 3-digit subtraction with regrouping?

Fluently subtract 3-digit numbers within 1000 with regrouping across ones and tens places using place-value decomposition. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.2.NBT.B.7.

Q: What is the most common mistake students make with 3-digit subtraction with regrouping?

A frequent pitfall is: "Skipping intermediate decrements during double regrouping". Why students stumble: When borrowing twice, students sometimes borrow from the original digit instead of the already-decremented digit. How to fix it: Always cross out the old digit and write the new value clearly directly above before borrowing again.

Q: What is included in the 4 differentiated worksheet sets?

Set A covers standard core practice (3-digit vertical column subtraction within 1000 with guaranteed regrouping in ones or tens.). Set B is an Anti-Cheat version with alternate numbers to prevent copying. Set C features challenging problems, and Set D is a timed sprint.

Q: Are these 3-digit subtraction with regrouping worksheets free to print with answer keys?

Yes! Every single worksheet on PanMaths is 100% free with no sign-up needed. Each sheet includes a dedicated Answer Key on Page 2 with step-by-step intermediate evaluation lines for 1-minute grading.

Practice 3-digit subtraction with regrouping (Grade 2) with free printable PDF worksheets. 4 pre-packaged classroom sets with 100% verified step-by-step answer keys, plus an unlimited live customizer for teachers and homeschoolers.

📐Aligned to Common Core (CCSS.MATH.CONTENT.2.NBT.B.7)·5-10 min per sheet

Include Key in PrintShow Worked Steps

Count:

PanMaths.com3-Digit Subtraction with Regrouping Worksheets • Set A (Standard)

Name: __________________________

Date: _____________ Period: ____

Score: _____ / 10

491

−149

962

−390

315

−182

508

−248

626

−146

711

−481

821

−390

313

−132

694

−139

953

−524

PanMaths.com • Free Printable Math WorksheetsPage 1 of 2

PanMaths.comAnswer Key & Worked Solutions • Set A (Standard)

Answer Key

Total Problems: 10

491

−149

342

1. Regroup Tens: Tens becomes 8. Ones becomes 11 (Subtract 11 − 9 = 2)

2. Subtract Tens: 8 − 4 = 4

3. Subtract Hundreds: 4 − 1 = 3

962

−390

572

1. Subtract Ones: 2 − 0 = 2

2. Regroup Hundreds: Hundreds becomes 8. Tens becomes 16 (Subtract 16 − 9 = 7)

3. Subtract Hundreds: 8 − 3 = 5

315

−182

133

1. Subtract Ones: 5 − 2 = 3

2. Regroup Hundreds: Hundreds becomes 2. Tens becomes 11 (Subtract 11 − 8 = 3)

3. Subtract Hundreds: 2 − 1 = 1

508

−248

260

1. Subtract Ones: 8 − 8 = 0

2. Regroup Hundreds: Hundreds becomes 4. Tens becomes 10 (Subtract 10 − 4 = 6)

3. Subtract Hundreds: 4 − 2 = 2

626

−146

480

1. Subtract Ones: 6 − 6 = 0

2. Regroup Hundreds: Hundreds becomes 5. Tens becomes 12 (Subtract 12 − 4 = 8)

3. Subtract Hundreds: 5 − 1 = 4

711

−481

230

1. Subtract Ones: 1 − 1 = 0

2. Regroup Hundreds: Hundreds becomes 6. Tens becomes 11 (Subtract 11 − 8 = 3)

3. Subtract Hundreds: 6 − 4 = 2

821

−390

431

1. Subtract Ones: 1 − 0 = 1

2. Regroup Hundreds: Hundreds becomes 7. Tens becomes 12 (Subtract 12 − 9 = 3)

3. Subtract Hundreds: 7 − 3 = 4

313

−132

181

1. Subtract Ones: 3 − 2 = 1

2. Regroup Hundreds: Hundreds becomes 2. Tens becomes 11 (Subtract 11 − 3 = 8)

3. Subtract Hundreds: 2 − 1 = 1

694

−139

555

1. Regroup Tens: Tens becomes 8. Ones becomes 14 (Subtract 14 − 9 = 5)

2. Subtract Tens: 8 − 3 = 5

3. Subtract Hundreds: 6 − 1 = 5

953

−524

429

1. Regroup Tens: Tens becomes 4. Ones becomes 13 (Subtract 13 − 4 = 9)

2. Subtract Tens: 4 − 2 = 2

3. Subtract Hundreds: 9 − 5 = 4

PanMaths.com • Answer Key & SolutionsPage 2 of 2

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Worksheet Info

Categorygrade-2

Grade LevelGrade 2

DifficultyEasy, Medium, Hard, Sprint

Time5-10 min

CCSS CodeCCSS.MATH.CONTENT.2.NBT.B.7

Skills Practiced

✓ 3-Digit Subtraction with Regrouping

Key Strategies

1️⃣ Right-to-Left Column Alignment: Align hundreds, tens, and ones vertically. Always start solving in the ones column.
2️⃣ Regroup from Tens to Ones if Needed: If the ones digit is smaller than the bottom ones digit, borrow 1 ten (10 ones). Decrement tens by 1, add 10 to ones.
3️⃣ Regroup from Hundreds to Tens if Needed: Next check the tens place. If the remaining tens digit is smaller than the bottom tens digit, borrow 1 hundred (10 tens). Decrement hundreds by 1, add 10 to tens.
4️⃣ Subtract Hundreds & Check with Addition: Subtract the hundreds digits, then verify the entire answer: Difference + Subtrahend = Minuend ✅.

🎮 Interactive Warm-Up

Subtraction Mastery

Warm up with 60 seconds of rapid mental math practice before printing!

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Related Worksheets

📄 Base-10 Blocks to 1,000View →📄 Expanded Form 3-Digit NumbersView →📄 Comparing 3-Digit NumbersView →📄 Skip Counting by 3s and 4sView →

📜 Standard: CCSS.MATH.CONTENT.2.NBT.B.7🔗 CCSS.MATH.CONTENT.2.NBT.B.9

Mastering 3-Digit Subtraction with Regrouping: Core Concepts & Mental Models

Three-digit subtraction with regrouping extends place-value borrowing across multiple columns: borrowing from tens into ones, from hundreds into tens, or performing double regrouping across both places. Mastery of this skill cements multi-digit base-ten understanding.

Worked Example & SolutionTeacher Step-by-Step Method

📝 Problem: Calculate vertically: 635 − 278

Worked Solution: 1. Ones: 5 < 8. Borrow 1 ten from 3 tens. Tens becomes 2; ones becomes 15. 15 − 8 = 7. 2. Tens: 2 < 7. Borrow 1 hundred from 6 hundreds. Hundreds becomes 5; tens becomes 12. 12 − 7 = 5. 3. Hundreds: 5 − 2 = 3. 4. Final Difference: 357. (Check: 357 + 278 = 635 ✅)

💡 Essential Strategies for 3-Digit Subtraction with Regrouping

1️⃣ Right-to-Left Column Alignment

Align hundreds, tens, and ones vertically. Always start solving in the ones column.

2️⃣ Regroup from Tens to Ones if Needed

If the ones digit is smaller than the bottom ones digit, borrow 1 ten (10 ones). Decrement tens by 1, add 10 to ones.

3️⃣ Regroup from Hundreds to Tens if Needed

Next check the tens place. If the remaining tens digit is smaller than the bottom tens digit, borrow 1 hundred (10 tens). Decrement hundreds by 1, add 10 to tens.

4️⃣ Subtract Hundreds & Check with Addition

Subtract the hundreds digits, then verify the entire answer: Difference + Subtrahend = Minuend ✅.

⚠️ Common Mistakes & Teacher Fixes

⚠️Skipping intermediate decrements during double regrouping

Why students stumble: When borrowing twice, students sometimes borrow from the original digit instead of the already-decremented digit.

Teacher Fix: Always cross out the old digit and write the new value clearly directly above before borrowing again.

⚠️Reverse subtraction in the middle tens column

Why students stumble: Subtracting bottom tens from top tens when the top tens is smaller (e.g. calculating 7 − 2 = 5 instead of borrowing 12 − 7 = 5).

Teacher Fix: Check each column individually before subtracting: is the top digit big enough?

📖 Key Mathematical Vocabulary

Double Regrouping

Borrowing across multiple place values in the same problem (e.g. from hundreds to tens, and from tens to ones).

Minuend

The top 3-digit number being subtracted from (e.g., 542 in 542 − 268).

Subtrahend

The 3-digit number being subtracted (e.g., 268 in 542 − 268).

Decomposition

Breaking down 1 hundred into 10 tens, or 1 ten into 10 ones.

🎯 4 Differentiated Classroom Sets Included

Set AVersion A

Set A: Core 3-Digit Subtraction (10 Problems)

3-digit vertical column subtraction within 1000 with guaranteed regrouping in ones or tens.

Set BVersion B

Set B: Alternate & Anti-Cheat (10 Problems)

Freshly randomized parallel 3-digit subtraction problems with regrouping for fair classroom assessments.

Set CVersion C

Set C: Double Regrouping Mastery (8 Problems)

Challenging problems requiring double regrouping across both tens and hundreds places.

Set DVersion D

Set D: 3-Minute Speed Sprint (15 Problems)

15 rapid 3-digit subtraction problems with regrouping to build automaticity and precision.

❓ Frequently Asked Questions

How do you solve a 3-digit subtraction with regrouping problem step by step?

Here is a worked example: "Calculate vertically: 635 − 278". Solution: 1. Ones: 5 < 8. Borrow 1 ten from 3 tens. Tens becomes 2; ones becomes 15. 15 − 8 = 7. 2. Tens: 2 < 7. Borrow 1 hundred from 6 hundreds. Hundreds becomes 5; tens becomes 12. 12 − 7 = 5. 3. Hundreds: 5 − 2 = 3. 4. Final Difference: 357. (Check: 357 + 278 = 635 ✅)

What is the core learning objective for 3-digit subtraction with regrouping?

Fluently subtract 3-digit numbers within 1000 with regrouping across ones and tens places using place-value decomposition. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.2.NBT.B.7.

What is the most common mistake students make with 3-digit subtraction with regrouping?

A frequent pitfall is: "Skipping intermediate decrements during double regrouping". Why students stumble: When borrowing twice, students sometimes borrow from the original digit instead of the already-decremented digit. How to fix it: Always cross out the old digit and write the new value clearly directly above before borrowing again.

What is included in the 4 differentiated worksheet sets?

Set A covers standard core practice (3-digit vertical column subtraction within 1000 with guaranteed regrouping in ones or tens.). Set B is an Anti-Cheat version with alternate numbers to prevent copying. Set C features challenging problems, and Set D is a timed sprint.

Are these 3-digit subtraction with regrouping worksheets free to print with answer keys?

Yes! Every single worksheet on PanMaths is 100% free with no sign-up needed. Each sheet includes a dedicated Answer Key on Page 2 with step-by-step intermediate evaluation lines for 1-minute grading.