4 Digit Addition Without Regrouping
Addition of 4-Digit Without Regrouping
4-digit addition without regrouping means that when we add the digits in each place value (ones, tens, hundreds, and thousands), the sum of the digits in each column is less than 10. This means there’s no need to carry over to the next column.
Let’s break this down with a detailed example.
Example 1: Adding 3452 and 1234
Step 1: Write the Numbers in Vertical Form
Write the numbers one below the other, aligning the digits according to their place value.
3452
+ 1234
Step 2: Add the Ones Place
Start from the rightmost digit, which is the ones place. Add the digits in the ones place together:
2 + 4 = 6
Write 6 under the ones column.
Step 3: Add the Tens Place
Move to the next column to the left, which is the tens place. Add the digits in the tens place:
5 + 3 = 8
Write 8 under the tens column.
Step 4: Add the Hundreds Place
Now, move to the hundreds place. Add the digits in the hundreds place:
4 + 2 = 6
Write 6 under the hundreds column.
Step 5: Add the Thousands Place
Finally, move to the leftmost column, which is the thousands place. Add the digits in the thousands place:
3 + 1 = 4
Write 4 under the thousands column.
Step 6: Write the Final Answer
Now, write the numbers from each column together to get the final sum:
3452
+ 1234
------
4686
So, 3452 + 1234 = 4686.
Example 2: Adding 5271 and 3126
Step 1: Write the Numbers in Vertical Form
5271
+ 3126
Step 2: Add the Ones Place
1 + 6 = 7
Write 7 under the ones column.
Step 3: Add the Tens Place
7 + 2 = 9
Write 9 under the tens column.
Step 4: Add the Hundreds Place
2 + 1 = 3
Write 3 under the hundreds column.
Step 5: Add the Thousands Place
5 + 3 = 8
Write 8 under the thousands column.
Step 6: Write the Final Answer
5271
+ 3126
------
8397
So, 5271 + 3126 = 8397.
Example 3: Adding 4213 and 2564
Step 1: Write the Numbers in Vertical Form
4213
+ 2564
Step 2: Add the Ones Place
3 + 4 = 7
Write 7 under the ones column.
Step 3: Add the Tens Place
1 + 6 = 7
Write 7 under the tens column.
Step 4: Add the Hundreds Place
2 + 5 = 7
Write 7 under the hundreds column.
Step 5: Add the Thousands Place
4 + 2 = 6
Write 6 under the thousands column.
Step 6: Write the Final Answer
4213
+ 2564
------
6777
So, 4213 + 2564 = 6777.
Example 4: Adding 7320 and 1469
Step 1: Write the Numbers in Vertical Form
7320
+ 1469
Step 2: Add the Ones Place
0 + 9 = 9
Write 9 under the ones column.
Step 3: Add the Tens Place
2 + 6 = 8
Write 8 under the tens column.
Step 4: Add the Hundreds Place
3 + 4 = 7
Write 7 under the hundreds column.
Step 5: Add the Thousands Place
7 + 1 = 8
Write 8 under the thousands column.
Step 6: Write the Final Answer
7320
+ 1469
------
8789
So, 7320 + 1469 = 8789.
Example 5: Adding 5042 and 3956
Step 1: Write the Numbers in Vertical Form
5042
+ 3956
Step 2: Add the Ones Place
2 + 6 = 8
Write 8 under the ones column.
Step 3: Add the Tens Place
4 + 5 = 9
Write 9 under the tens column.
Step 4: Add the Hundreds Place
0 + 9 = 9
Write 9 under the hundreds column.
Step 5: Add the Thousands Place
5 + 3 = 8
Write 8 under the thousands column.
Step 6: Write the Final Answer
5042
+ 3956
------
8998
So, 5042 + 3956 = 8998.
Example 6: Adding 2187 and 6712
Step 1: Write the Numbers in Vertical Form
2187
+ 6712
Step 2: Add the Ones Place
7 + 2 = 9
Write 9 under the ones column.
Step 3: Add the Tens Place
8 + 1 = 9
Write 9 under the tens column.
Step 4: Add the Hundreds Place
1 + 7 = 8
Write 8 under the hundreds column.
Step 5: Add the Thousands Place
2 + 6 = 8
Write 8 under the thousands column.
Step 6: Write the Final Answer
2187
+ 6712
------
8899
So, 2187 + 6712 = 8899.
These examples will give plenty of practice in adding 4-digit numbers without needing to regroup.
Key Points to Remember:
- Always start adding from the rightmost column (ones place).
- No need to carry over since the sum of each column is less than 10.
- Write each sum directly under the column where we added the digits.