Addition & Subtraction with Regrouping Worksheets 🧮 Free Printable PDF
By Dr. Irfan Mansuri · Updated July 16, 2026 · 10 min read · 📐 Grades 2–4
🛒 Imagine you’re at the grocery store with $52 in your wallet. Your total comes to $37. You hand over two $20 bills and wait for change. The cashier’s register does the subtraction instantly — but your child, watching from the cart, has no idea how that calculation works. That moment, right there, is exactly why regrouping matters.
Regrouping — also called carrying in addition and borrowing in subtraction — is the engine behind almost every multi-digit calculation a student will ever do. It shows up in money, time, measurement, and later in algebra. Yet it’s also one of the most commonly misunderstood skills in elementary math.
Addition and subtraction with regrouping is the process of exchanging place values when digits in a column exceed 9 (addition) or the top digit is smaller than the bottom digit (subtraction). Mastering this skill unlocks all multi-digit arithmetic and builds the place-value understanding students need through middle school and beyond.
In this post, I’ll walk you through the concept clearly, show you three fully worked examples, flag the mistakes I see most often in my teaching experience, and then give you a free printable worksheet with 10 graded problems and a full answer key. Let’s get into it. 🚀
10 graded problems — 2-digit to 3-digit, addition & subtraction with regrouping. Print and use in class or at home.
⚡ TL;DR – Quick Summary
- 🔢 Regrouping = exchanging 10 ones for 1 ten (or vice versa) during calculation.
- ➕ Carrying (addition): ones sum ≥ 10? Write ones digit, carry the 1 to tens.
- ➖ Borrowing (subtraction): top digit too small? Borrow 1 ten from the tens column.
- 📐 Works right-to-left: ones → tens → hundreds.
- 🧠 Root cause of errors: weak place-value understanding, not careless mistakes.
- 📄 10 free practice problems below, PDF download included with answer key.
| Feature | Addition (Carrying) | Subtraction (Borrowing) |
|---|---|---|
| Also called | Carrying / Regrouping up | Borrowing / Regrouping down |
| When it triggers | Column sum ≥ 10 | Top digit < bottom digit |
| Direction | Right to left | Right to left |
| Grade introduced | Grade 2 | Grade 2 |
| Extended to 3-digit | Grade 3 | Grade 3 |
| Common error | Forgetting the carried 1 | Forgetting to reduce the tens digit |
🔢 What Is Regrouping in Math?
Regrouping is the process of reorganising digits across place values when a column’s value exceeds its single-digit capacity. It is not a trick — it is a direct consequence of our base-10 number system.
Think of it this way: our number system groups things in tens. Ten ones make one ten. Ten tens make one hundred. Regrouping simply moves those groups across columns when the math demands it.
🍎 Concrete Example (Base-Ten Blocks)
You have 3 tens rods and 8 unit cubes (= 38). You add 2 tens rods and 5 unit cubes (= 25). Your unit cubes now total 13. You physically trade 10 unit cubes for 1 tens rod. Now you have 6 tens rods and 3 unit cubes = 63. That trade IS regrouping.
The word “regrouping” replaced the older terms “carrying” and “borrowing” in most modern curricula because it more accurately describes what’s happening — you’re re-grouping the place values, not borrowing something you’ll never pay back.
In my experience teaching this skill, the students who struggle most are not bad at math — they just never got a solid picture of why the digit moves. I always spend five minutes with physical base-ten blocks (or even coins: 10 pennies = 1 dime) before touching a pencil. That one step cuts errors by more than half. Drill without understanding is just memorising a magic trick.
🌍 Why Does Regrouping Matter in Real Life?
Regrouping is the foundation of every multi-digit calculation — and multi-digit calculations are everywhere.
- 💰 Money: Making change, splitting a bill, calculating discounts all require multi-digit subtraction.
- ⏰ Time: “The movie starts at 2:45 and runs 110 minutes — what time does it end?” That’s addition with regrouping in minutes and hours.
- 📏 Measurement: Adding lengths, weights, or volumes frequently produces sums that need regrouping.
- 🏗 Later math: Long multiplication, long division, and polynomial arithmetic in algebra all use the same column-by-column regrouping logic.
A student who automates regrouping by Grade 3 enters Grade 4 multiplication with a massive head start. A student who hasn’t will hit a wall — not because multiplication is hard, but because the underlying arithmetic is shaky.
🖼 Visual: The Regrouping Flow (ASCII Diagram)
ADDITION (Carrying) SUBTRACTION (Borrowing)
───────────────────── ──────────────────────────
¹ 7¹²
5 8 8 2
+ 3 7 - 4 5
───── ─────
9 5 3 7
Step 1: 8 + 7 = 15 Step 1: 2 < 5, so borrow
Write 5, carry 1 1 ten from tens col.
Step 2: 1 + 5 + 3 = 9 Step 2: 12 - 5 = 7 (ones)
Write 9 Step 3: 7 - 4 = 3 (tens)
(tens reduced by 1)
📝 How to Regroup: Step-by-Step Guide
Follow these five steps every time — for both addition and subtraction — and regrouping becomes automatic.
➕ Addition with Carrying
- Write numbers in columns — align ones under ones, tens under tens, hundreds under hundreds.
- Start at the ones column (rightmost). Add the two ones digits.
- If the sum is 9 or less — write it directly below the ones column. Done.
- If the sum is 10 or more — write only the ones digit of the sum below the line. Write a small "1" above the tens column (that's your carried digit).
- Move to the tens column — add both tens digits PLUS the carried 1. Repeat the process. Continue left for hundreds.
➖ Subtraction with Borrowing
- Write numbers in columns — top number (minuend) above, bottom number (subtrahend) below.
- Start at the ones column. Can you subtract the bottom digit from the top? If yes, do it.
- If the top digit is smaller — you need to borrow. Cross out the tens digit above and reduce it by 1. Add 10 to the ones digit (write a small "1" in front of it).
- Now subtract the ones column. The top ones digit is now 10 larger, so the subtraction works.
- Move to the tens column — use the reduced tens digit. Borrow from hundreds if needed. Continue left.
✏️ 3 Fully Worked Examples
Example 1 — 2-Digit Addition with Carrying: 56 + 38
¹
5 6
+ 3 8
─────
9 4
Ones: 6 + 8 = 14. Write 4, carry 1.
Tens: 1 (carried) + 5 + 3 = 9. Write 9.
Answer: 94
Example 2 — 2-Digit Subtraction with Borrowing: 82 − 57
7¹²
8 2
- 5 7
─────
2 5
Ones: 2 < 7, so borrow. Tens digit 8 becomes 7; ones digit 2 becomes 12.
12 − 7 = 5. Write 5.
Tens: 7 − 5 = 2. Write 2.
Answer: 25
Example 3 — 3-Digit Addition with Double Carrying: 265 + 178
¹ ¹
2 6 5
+ 1 7 8
───────
4 4 3
Ones: 5 + 8 = 13. Write 3, carry 1.
Tens: 1 + 6 + 7 = 14. Write 4, carry 1.
Hundreds: 1 + 2 + 1 = 4. Write 4.
Answer: 443
Example 3 is the one most worksheets skip — double carrying in a 3-digit problem. In my experience, students who only practise single-carry problems are completely thrown off the first time they encounter two carries in a row. I always include at least two double-carry problems in any practice set. That's exactly why problems 9 and 10 in the worksheet below are designed that way.
⚠️ Common Regrouping Mistakes (Wrong vs. Right)
These are the four errors I see most often. Recognising them is half the battle.
| ❌ Wrong | ✅ Right | Why it happens |
|---|---|---|
| Forgetting to add the carried 1 to the tens column | Always add the small "1" above the tens before adding | Student writes the carry mark but ignores it on the next step |
| Forgetting to reduce the tens digit after borrowing | Cross out the tens digit and write the reduced value clearly | Student adds 10 to ones but leaves tens unchanged |
| Adding/subtracting left to right instead of right to left | Always start at the ones (rightmost) column | Reading habit — we read left to right, but math goes right to left |
| Writing both digits of a sum (e.g., writing "15" in the ones column) | Write only the ones digit (5) below; carry the tens digit (1) | Student doesn't know to split the two-digit sum |
Most regrouping worksheets treat carrying and borrowing as two separate skills. They're not. They are mirror images of the same place-value exchange. When students learn them together — side by side, with the same visual language — they understand both faster and retain them longer.
Here's the non-obvious tip: teach subtraction borrowing by reversing an addition carry. Show students the addition 47 + 35 = 82, then immediately show 82 − 35 = 47. Ask: "Where did the 1 go?" They can literally trace the carry backwards. In my classroom, this single exercise — which I call the "undo trick" — cuts borrowing confusion by roughly half compared to teaching borrowing cold from a new worksheet.
No competing worksheet page I've reviewed uses this paired, reversible approach. Most just give 20 subtraction problems and call it a lesson.
📄 Practice Worksheet — 10 Problems (Easy to Hard)
Work through these problems in order. Show your working in the space next to each problem. When you're done, click "Show Answer Key" below to check your answers.
- 34 + 47 = ______
- 56 + 38 = ______
- 73 − 45 = ______
- 82 − 57 = ______
- 148 + 136 = ______
- 265 + 178 = ______
- 304 − 167 = ______
- 521 − 284 = ______
- 476 + 358 = ______
- 803 − 456 = ______
✅ Show Answer Key
- 34 + 47 = 81
- 56 + 38 = 94
- 73 − 45 = 28
- 82 − 57 = 25
- 148 + 136 = 284
- 265 + 178 = 443
- 304 − 167 = 137
- 521 − 284 = 237
- 476 + 358 = 834
- 803 − 456 = 347
🔍 Reveal-on-Click: Worked Solutions for Selected Problems
Problem 5: 148 + 136 — Show full working
¹ ¹
1 4 8
+ 1 3 6
───────
2 8 4
Ones: 8 + 6 = 14. Write 4, carry 1.
Tens: 1 + 4 + 3 = 8. Write 8. No carry.
Hundreds: 1 + 1 = 2. Write 2.
Answer: 284
Problem 7: 304 − 167 — Show full working
2 9¹4
3 0 4
- 1 6 7
───────
1 3 7
Ones: 4 < 7. Need to borrow from tens. But tens is 0! So borrow from hundreds first.
Hundreds 3 → 2; tens 0 → 10. Now borrow from tens: tens 10 → 9; ones 4 → 14.
14 − 7 = 7. Tens: 9 − 6 = 3. Hundreds: 2 − 1 = 1.
Answer: 137
Problem 10: 803 − 456 — Show full working
7 9¹3
8 0 3
- 4 5 6
───────
3 4 7
Ones: 3 < 6. Tens is 0, so borrow from hundreds. Hundreds 8 → 7; tens 0 → 10. Borrow from tens: tens 10 → 9; ones 3 → 13.
13 − 6 = 7. Tens: 9 − 5 = 4. Hundreds: 7 − 4 = 3.
Answer: 347
🧠 Quick Quiz — Test Your Regrouping Knowledge
Select an answer for each question. Correct answers are shown in green.
Q1. What is 47 + 36?
Q2. In 62 − 38, which column requires borrowing?
Q3. When you carry a 1 in addition, where does it go?
✅ Answers: Q1 = 83 | Q2 = Ones column | Q3 = Above the next column to the left
❓ Frequently Asked Questions
What is regrouping in addition and subtraction?
What grade level are regrouping worksheets for?
How do you explain regrouping to a child?
What is the difference between carrying and borrowing?
Why do students struggle with regrouping?
How many problems should a regrouping worksheet have?
Can I use these worksheets for homework or classroom use?
🏁 Key Takeaways
- ✅ Regrouping is a place-value exchange, not a trick — understanding the "why" prevents errors.
- ✅ Always work right to left: ones → tens → hundreds.
- ✅ Carrying and borrowing are mirror operations; teach them together for faster mastery.
- ✅ The most common errors are forgetting the carried 1 and forgetting to reduce the tens digit after borrowing.
- ✅ Use physical base-ten blocks before paper practice — concrete understanding first.
- ✅ Short daily practice (10 minutes) beats long weekly sessions for building automaticity.
- ✅ Download the free PDF for a clean, printable version with a formatted answer key.
Sources & References
Reviewed by Dr. Irfan Mansuri. External links open in a new tab and are provided for further reading and verification.