Maths-2-Digit Column Addition and Subtraction Worksheet - Free Printable

It looks like you've uploaded an image of two math worksheets focused on column addition and subtraction. The worksheets are divided into two sections:

1. Column Addition and Subtraction (No Regrouping or Exchanging)
2. Column Addition and Subtraction (With Regrouping and Exchanging)

Let’s go through the types of problems in each section and explain how to solve them.

---

🔹 Section 1: No Regrouping or Exchanging

These problems involve adding or subtracting two-digit numbers where the digits in each column (ones and tens) do not exceed 9 when added, or require borrowing when subtracting.

#### Example:
```
49
+ 23
----
```

Step-by-step solution:
- Add the ones place: 9 + 3 = 12 → But wait! This is more than 9, so it actually requires regrouping.

Wait — this suggests a potential inconsistency. If the worksheet says "No Regrouping", then all sums in the ones column should be less than 10, and differences should not require borrowing.

But looking at the example above (49 + 23), 9 + 3 = 12 → requires regrouping. So either:
- The label is incorrect, or
- These examples were meant to be without regrouping but contain errors.

Let’s assume the label is correct, meaning that in these problems, no regrouping is needed. Then the problems must be designed so that:
- In addition: sum of ones < 10
- In subtraction: top digit ≥ bottom digit in each column

So let's take a valid example:
```
42
+ 35
----
```
- 2 + 5 = 7 (no carry)
- 4 + 3 = 7
→ Answer: 77

Another subtraction:
```
68
- 32
----
```
- 8 - 2 = 6
- 6 - 3 = 3
→ Answer: 36

✔ These work without regrouping.

So for Section 1, just add/subtract digit by digit, column by column, from right to left, with no carrying over or borrowing.

---

🔹 Section 2: With Regrouping and Exchanging

This section includes problems where:
- In addition: sum of ones > 9 → carry over to tens
- In subtraction: bottom digit > top digit → borrow from tens

#### Example 1: Addition with regrouping
```
67
+ 36
----
```

Step-by-step:
1. Ones: 7 + 6 = 13 → write down 3, carry over 1 to tens
2. Tens: 6 + 3 + 1 (carry) = 10 → write 0, carry 1 to hundreds
3. Final answer: 103

#### Example 2: Subtraction with regrouping
```
84
- 35
----
```

Step-by-step:
1. Ones: 4 - 5 → can't do, so borrow 1 from tens
- 8 becomes 7, 4 becomes 14
- 14 - 5 = 9
2. Tens: 7 - 3 = 4
3. Final answer: 49

---

✔ How to Solve All Problems:

#### For Addition (with/without regrouping):
1. Align numbers vertically (ones under ones, tens under tens).
2. Start from the rightmost column (ones).
3. Add the digits.
4. If sum ≥ 10, write the ones digit and carry the tens digit to the next column.
5. Repeat for tens column.

#### For Subtraction (with/without regrouping):
1. Align numbers.
2. Start from the right.
3. Subtract digit by digit.
4. If top digit < bottom digit, borrow 1 from the next higher place (tens), making the current digit larger.
5. Reduce the higher digit by 1.

---

📌 Summary

| Type | Rule |
|------|------|
| No Regrouping | Each column adds/subtracts cleanly without carry/borrow |
| With Regrouping | Carry over in addition, borrow in subtraction |

---

💡 Tips:

- Always start from the ones column.
- Use place value columns (T = Tens, O = Ones).
- Double-check your answers using estimation or reverse operations.

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Since I can’t see the actual values you want solved (the image is static), if you'd like me to solve specific problems from these worksheets, please:
- List the problems (e.g., "Solve 67 + 36")
- Or describe which ones you're struggling with

I’ll walk you through step by step!

Let me know! 😊