# 3-Digit Addition with Carry Over | How to Add 3-Digits with Carry Over or Regrouping?

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.

### 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 oneâ€™s place. If you get a carry, then forward it to tenâ€™s place.
(iii) Again add the tenâ€™s place digits. Then, add the tenâ€™s place number with the carry.
(iv) If you get a carry while adding tenâ€™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 oneâ€™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 tenâ€™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.

Solution:
The given numbers are 457 and 264.

(i) Add digits at oneâ€™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 tenâ€™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 oneâ€™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 tenâ€™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.

Solution:
The given numbers are 268 and 357.

(i) Add digits at oneâ€™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 tenâ€™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.

### 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 oneâ€™s column = 8 ones + 7 ones + 3 ones = 18 ones.
There is carry in the addition of oneâ€™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 hundredâ€™s
20 ten’s = 2 hundredâ€™s
21 ten’s = 2 hundreds 1 ten
(iii) Adding hundredâ€™s column = 3 hundredâ€™s + 2 hundredâ€™s + 4 hundredâ€™s = 9 hundredâ€™s.
(iv) Carrying over 1 ten to tenâ€™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 oneâ€™s column = 8 ones + 9 ones = 17 ones.
There is carry in the addition of oneâ€™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 hundredâ€™s
15 ten’s = 1 hundreds 5 ten’s
(iii) Adding hundredâ€™s column = 5 hundredâ€™s + 1 hundredâ€™s = 6 hundredâ€™s.
(iv) Carrying over 1 ten to tenâ€™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 oneâ€™s column = 7 ones + 9 ones + 7 ones = 23 ones.
There is carry in the addition of oneâ€™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 hundredâ€™s
11 ten’s = 1 hundreds 1 ten
(iii) Adding hundredâ€™s column = 8 hundredâ€™s + 6 hundredâ€™s + 2 hundredâ€™s = 16 hundredâ€™s.
(iv) Carrying over 1 ten to tenâ€™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 oneâ€™s column = 9 ones + 3 ones = 12 ones.
There is carry in the addition of oneâ€™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 hundredâ€™s
11 ten’s = 1 hundreds 1 ten’s
(iii) Adding hundredâ€™s column = 8 hundredâ€™s + 2 hundredâ€™s = 10 hundredâ€™s.
(iv) Carrying over 1 ten to tenâ€™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

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