2 Digit Addition with Regrouping Worksheets - First Grade Math Worksheets - Free Printable

You're looking at a 2-Digit Addition worksheet set designed for early elementary students (typically 1st or 2nd grade). The worksheets focus on adding a double-digit number to a single-digit number, with some problems requiring regrouping (carrying) and others not.

Since you asked to “solve the problem and explain the solution,” I’ll solve all the visible problems on both worksheets shown in the image and explain the strategies used — especially “making tens” and drawing tens/ones blocks — which are key scaffolds for understanding place value.

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## ✔ WORKSHEET 1: “USING TENS AND ONES BLOCKS — MAKING TENS!” (Regrouping Required)

This section teaches students to add ones, make a new ten if needed, then count total tens and ones.

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Problem 1: 16 + 5 = ?

- Ones: 6 + 5 = 11 → That’s 1 ten and 1 one
- Tens: Original 1 ten + 1 new ten = 2 tens
- Answer: 2 tens and 1 one → 21

✔ Already filled in correctly.

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Problem 2: 28 + 4 = ?

- Ones: 8 + 4 = 12 → 1 ten and 2 ones
- Tens: 2 tens + 1 new ten = 3 tens
- Answer: 3 tens and 2 ones → 32

📌 TENS: 3 | ONES: 2

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Problem 3: 36 + 7 = ?

- Ones: 6 + 7 = 13 → 1 ten and 3 ones
- Tens: 3 tens + 1 new ten = 4 tens
- Answer: 4 tens and 3 ones → 43

📌 TENS: 4 | ONES: 3

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Problem 4: 55 + 8 = ?

- Ones: 5 + 8 = 13 → 1 ten and 3 ones
- Tens: 5 tens + 1 new ten = 6 tens
- Answer: 6 tens and 3 ones → 63

📌 TENS: 6 | ONES: 3

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Problem 5: 43 + 9 = ?

- Ones: 3 + 9 = 12 → 1 ten and 2 ones
- Tens: 4 tens + 1 new ten = 5 tens
- Answer: 5 tens and 2 ones → 52

📌 TENS: 5 | ONES: 2

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Problem 6: 34 + 7 = ?

- Ones: 4 + 7 = 11 → 1 ten and 1 one
- Tens: 3 tens + 1 new ten = 4 tens
- Answer: 4 tens and 1 one → 41

📌 TENS: 4 | ONES: 1

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## ✔ WORKSHEET 2: “DRAWING TENS AND ONES BLOCKS — NO REGROUPING”

This section is simpler — no regrouping needed. Students draw or visualize the blocks and just combine tens and ones.

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Problem 1: 13 + 5 = 18

- Ones: 3 + 5 = 8 → no regrouping
- Tens: 1 ten remains → 1 ten and 8 ones
✔ Already correct.

📌 TENS: 1 | ONES: 8

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Problem 2: 15 + 4 = ?

- Ones: 5 + 4 = 9
- Tens: 1 ten
- Answer: 19

📌 TENS: 1 | ONES: 9

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Problem 3: 31 + 6 = ?

- Ones: 1 + 6 = 7
- Tens: 3 tens
- Answer: 37

📌 TENS: 3 | ONES: 7

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Problem 4: 23 + 3 = ?

- Ones: 3 + 3 = 6
- Tens: 2 tens
- Answer: 26

📌 TENS: 2 | ONES: 6

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Problem 5: 46 + 2 = ?

- Ones: 6 + 2 = 8
- Tens: 4 tens
- Answer: 48

📌 TENS: 4 | ONES: 8

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Problem 6: 52 + 5 = ?

- Ones: 2 + 5 = 7
- Tens: 5 tens
- Answer: 57

📌 TENS: 5 | ONES: 7

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## 🧠 EXPLANATION OF STRATEGIES

1. Making Tens (Regrouping)

Used when adding ones results in 10 or more.
- Example: 16 + 5 → 6 + 5 = 11 → trade 10 ones for 1 ten → now you have 2 tens and 1 one → 21.
- This builds foundational understanding of place value and prepares students for standard algorithm addition.

2. Drawing Blocks (No Regrouping)

Used for simpler problems where ones add up to less than 10.
- Students visually separate tens and ones, then combine.
- Reinforces that numbers like 13 = 1 ten + 3 ones.

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## ✔ FINAL ANSWERS SUMMARY

Worksheet 1 (With Regrouping):

| Problem | Answer |
|---------|--------|
| 1. 16 + 5 | 21 |
| 2. 28 + 4 | 32 |
| 3. 36 + 7 | 43 |
| 4. 55 + 8 | 63 |
| 5. 43 + 9 | 52 |
| 6. 34 + 7 | 41 |

Worksheet 2 (No Regrouping):

| Problem | Answer |
|---------|--------|
| 1. 13 + 5 | 18 |
| 2. 15 + 4 | 19 |
| 3. 31 + 6 | 37 |
| 4. 23 + 3 | 26 |
| 5. 46 + 2 | 48 |
| 6. 52 + 5 | 57 |

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## 💡 TEACHING TIP:
These worksheets use concrete → pictorial → abstract progression:
- Start with physical/drawn blocks (concrete/pictorial),
- Move to writing tens and ones (pictorial/abstract),
- Eventually lead to standard algorithm (abstract).

Great for building number sense and avoiding rote memorization!

Let me know if you’d like printable versions, answer keys, or extension activities! 📚✏️