3-Digit Addition with Carry-over is the process of adding three-digit numbers when a carry is generated. There are different methods available to add three-digit numbers with Carry-over. The addition of 3-Digit Numbers with Carry Over is possible with expanded form and also using the carry over method. Check out the complete article to learn How to Add 3-Digits with Carry Over. Find Solved Examples on Addition of Three Digit Numbers with Carry Over or Regrouping in the further modules.

Do Read:

- 2-Digit Addition with Carry Over
- Adding Numbers in Expanded Form
- Adding 2-Digit Numbers with Regrouping

### How to Add 3-Digit Numbers with Carry Over?

Follow the below process to find 3-Digit Addition with Carry-over. We have given clear steps to helps you to learn the addition of 3-Digits with Carry-over.

(i) Note down the given numbers.

(ii) Firstly, add digits of one’s place. If you get a carry, then forward it to ten’s place.

(iii) Again add the ten’s place digits. Then, add the ten’s place number with the carry.

(iv) If you get a carry while adding ten’s place digits, then forward that carry to the hundred’s place digits.

(v) Add hundred’s place digits. Then, add the hundred’s place number with the carry.

(vi) Note down the all digits and find the sum to get the final answer.

### 3 Digit Addition with Regrouping Examples

**Example 1.
**Add together 359, 597 and 234

**Solution:**

The given numbers are 359, 597, and 234.

(i) Add digits at one’s place first i.e. 9 ones + 7 ones + 4 ones = 20 ones.

20 ones = 20 ones and 0 ones.

20 ones = 2 tens.

(ii) 2 (two) tens are carried over to ten’s side.

(iii) Now, add digits at tens place i.e., 5 tens + 9 tens + 3 tens = 17 tens.

To this sum i.e., 17 tens, the carried over 2 tens are also added.

Thus, 17 tens + 2 tens = 19 tens.

19 tens = 10 tens + 9 tens

10 tens = 1 (one) hundred

(iv) 1 (one) hundred is carried over to hundred’s side.

(v) Now, add digits at hundreds place i.e., 3 hundred + 5 hundred + 2 hundred = 10 hundred.

To this sum i.e., 10 hundred, the carried over 1 hundred are also added.

Thus, 10 hundred + 1 hundred = 11 hundred.

(vi) Therefore, the sum is 11 hundred, 9 tens, and 0 ones, i.e., 1190.

**Example 2. **

Add 457 and 264

**Solution:**

The given numbers are 457 and 264.

(i) Add digits at one’s place first i.e. 7 ones + 4 ones = 11 ones.

11 ones = 10 ones and 1 one’s.

10 ones = 1 tens.

(ii) 1 (one) tens are carried over to ten’s side.

(iii) Now, add digits at tens place i.e., 5 tens + 6 tens = 11 tens.

To this sum i.e., 11 tens, the carried over 1 tens are also added.

Thus, 11 tens + 1 tens = 12 tens.

12 tens = 10 tens + 2 tens

10 tens = 1 (one) hundred

(iv) 1 (one) hundred is carried over to hundred’s side.

(v) Now, add digits at hundreds place i.e., 4 hundred + 2 hundred = 6 hundred.

To this sum i.e., 6 hundred, the carried over 1 hundred are also added.

Thus, 6 hundred + 1 hundred = 7 hundred.

(vi) Therefore, the sum is 7 hundred, 2 tens, and 1 ones, i.e., 721.

**Example 3. **

Add together 478, 329 and 574

**Solution:**

The given numbers are 478, 329, and 574.

(i) Add digits at one’s place first i.e. 8 ones + 9 ones + 4 ones = 21 ones.

20 ones = 20 ones and 1 one.

20 ones = 2 tens.

(ii) 2 (two) tens are carried over to ten’s side.

(iii) Now, add digits at tens place i.e., 7 tens + 2 tens + 7 tens = 16 tens.

To this sum i.e., 16 tens, the carried over 2 tens are also added.

Thus, 16 tens + 2 tens = 18 tens.

18 tens = 10 tens + 8 tens

10 tens = 1 (one) hundred

(iv) 1 (one) hundred is carried over to hundred’s side.

(v) Now, add digits at hundreds place i.e., 4 hundred + 3 hundred + 5 hundred = 12 hundred.

To this sum i.e., 12 hundred, the carried over 1 hundred are also added.

Thus, 12 hundred + 1 hundred = 13 hundred.

(vi) Therefore, the sum is 13 hundred, 8 tens, and 1 ones, i.e., 1381.

**Example 4. **

Add 268 and 357

**Solution:**

The given numbers are 268 and 357.

(i) Add digits at one’s place first i.e. 8 ones + 7 ones = 15 ones.

15 ones = 10 ones and 5 one’s.

10 ones = 1 tens.

(ii) 1 (one) tens are carried over to ten’s side.

(iii) Now, add digits at tens place i.e., 6 tens + 5 tens = 11 tens.

To this sum i.e., 11 tens, the carried over 1 tens are also added.

Thus, 11 tens + 1 tens = 12 tens.

12 tens = 10 tens + 2 tens

10 tens = 1 (one) hundred

(iv) 1 (one) hundred is carried over to hundred’s side.

(v) Now, add digits at hundreds place i.e., 2 hundred + 3 hundred = 5 hundred.

To this sum i.e., 5 hundred, the carried over 1 hundred are also added.

Thus, 5 hundred + 1 hundred = 6 hundred.

(vi) Therefore, the sum is 6 hundred, 2 tens, and 5 ones, i.e., 625.

### Addition of 3 Digit Numbers with Carry Over Using Expanded Form

Use the expanded form method to find the 3-Digit Addition with Carry-over. We have given problems related to Adding 3-Digit Numbers with Carry-Over using Expanded Form.

(i) Write down the given 3-Digit Numbers.

(ii) Next note down the expanded form of a given number. For example, if the number is 321, then write it as 3 hundred 2 tens and 1 one.

321 = 300 + 20 + 1.

(iii) After expanding the numbers, add one’s, add ten’s, and hundred’s separate.

(iv) Then, forward the carry to the required column and add it to that column.

(v) Finally, add the numbers and get the final answer.

### 3 Digit Addition With Carry Over Using Expanded Form Examples

**Example 1. **

Add together 398, 247, and 483 using an expanded method in words.

**Solution:**

The given numbers are 398, 247, and 483.

Write 398 in an expanded form. 398 = 3 hundred + 9 tens + 8 ones.

Write 247 in an expanded form. 247 = 2 hundred + 4 tens + 7 ones.

Write 483 in an expanded form. 483 = 4 hundred + 8 tens + 3 ones.

(i) Adding one’s column = 8 ones + 7 ones + 3 ones = 18 ones.

There is carry in the addition of one’s column numbers.

18 ones = 10 ones + 8 ones

10 ones = 1 tens

18 ones = 1 tens 8 ones

(ii) Adding ten’s column = 9 ten’s + 4 ten’s + 8 ten’s = 21 ten’s.

There is carry in the addition of ten’s column numbers.

21 ten’s = 20 ten’s + 1 ten’s

10 ten’s = 1 hundred’s

20 ten’s = 2 hundred’s

21 ten’s = 2 hundreds 1 ten

(iii) Adding hundred’s column = 3 hundred’s + 2 hundred’s + 4 hundred’s = 9 hundred’s.

(iv) Carrying over 1 ten to ten’s column. 21 ten’s + 1 ten = 22 ten’s = 2 hundred 2 tens.

(v) Carrying over 1 hundred to hundred column, 9 hundred + 2 hundred = 11 hundred

(vi) Finally, 11 hundred + 2 tens + 8 ones = 1128

**Example 2. **

Add together 578 and 189 using an expanded method in words.

**Solution:**

The given numbers are 578 and 189.

Write 578 in an expanded form. 578 = 5 hundred + 7 tens + 8 ones.

Write 189 in an expanded form. 189 = 1 hundred + 8 tens + 9 ones.

(i) Adding one’s column = 8 ones + 9 ones = 17 ones.

There is carry in the addition of one’s column numbers.

17 ones = 10 ones + 7 ones

10 ones = 1 tens

17 ones = 1 tens 7 ones

(ii) Adding ten’s column = 7 ten’s + 8 ten’s = 15 ten’s.

There is carry in the addition of ten’s column numbers.

15 ten’s = 10 ten’s + 5 ten’s

10 ten’s = 1 hundred’s

15 ten’s = 1 hundreds 5 ten’s

(iii) Adding hundred’s column = 5 hundred’s + 1 hundred’s = 6 hundred’s.

(iv) Carrying over 1 ten to ten’s column. 15 ten’s + 1 ten = 16 ten’s = 1 hundred 6 tens.

(v) Carrying over 1 hundred to hundred column, 6 hundred + 1 hundred = 7 hundred

(vi) Finally, 7 hundred + 6 tens + 7 ones = 767

**Example 3. **

Add together 857, 659, and 217 using an expanded method in words.

**Solution:**

The given numbers are 857, 659, and 217.

Write 857 in an expanded form. 857 = 8 hundred + 5 tens + 7 ones.

Write 659 in an expanded form. 659 = 6 hundred + 5 tens + 9 ones.

Write 217 in an expanded form. 217 = 2 hundred + 1 tens + 7 ones.

(i) Adding one’s column = 7 ones + 9 ones + 7 ones = 23 ones.

There is carry in the addition of one’s column numbers.

23 ones = 20 ones + 3 ones

10 ones = 1 tens

20 ones = 2 tens

23 ones = 2 tens 3 ones

(ii) Adding ten’s column = 5 ten’s + 5 ten’s + 1 ten’s = 11 ten’s.

There is carry in the addition of ten’s column numbers.

11 ten’s = 10 ten’s + 1 ten’s

10 ten’s = 1 hundred’s

11 ten’s = 1 hundreds 1 ten

(iii) Adding hundred’s column = 8 hundred’s + 6 hundred’s + 2 hundred’s = 16 hundred’s.

(iv) Carrying over 1 ten to ten’s column. 11 ten’s + 2 ten’s = 13 ten’s = 1 hundred 3 tens.

(v) Carrying over 1 hundred to hundred column, 16 hundred + 1 hundred = 17 hundred

(vi) Finally, 17 hundred + 3 tens + 3 ones = 1733

**Example 4. **

Add together 849 and 273 using an expanded method in words.

**Solution:**

The given numbers are 849 and 273.

Write 849 in an expanded form. 849 = 8 hundred + 4 tens + 9 ones.

Write 273 in an expanded form. 273 = 2 hundred + 7 tens + 3 ones.

(i) Adding one’s column = 9 ones + 3 ones = 12 ones.

There is carry in the addition of one’s column numbers.

12 ones = 10 ones + 2 ones

10 ones = 1 tens

12 ones = 1 tens 2 ones

(ii) Adding ten’s column = 4 ten’s + 7 ten’s = 11 ten’s.

There is carry in the addition of ten’s column numbers.

11 ten’s = 10 ten’s + 1 ten’s

10 ten’s = 1 hundred’s

11 ten’s = 1 hundreds 1 ten’s

(iii) Adding hundred’s column = 8 hundred’s + 2 hundred’s = 10 hundred’s.

(iv) Carrying over 1 ten to ten’s column. 11 ten’s + 1 ten = 12 ten’s = 1 hundred 2 tens.

(v) Carrying over 1 hundred to hundred column, 10 hundred + 1 hundred = 11 hundred

(vi) Finally, 11 hundred + 2 tens + 2 ones = 1122