4-Digit Addition

Column addition is a method of adding numbers by writing them one under the other so that digits with the same place value (ones, tens, hundreds, thousands) are in the same column. This makes it easier to add large numbers. 

Example:
Add 2,458 + 3,679

One's place:  8 + 9 = 17
 → Write 7, carry 1 to the tens place.

Tens place: 5 + 7 = 12, plus 1 = 13
 → Write 3, carry 1 to the hundreds place.

Hundreds place: 4 + 6 = 10, plus 1 = 11
 → Write 1, carry 1 to the thousands place.

Thousands place:
 2 + 3 = 5, plus 1 = 6

Final Answer:
2,458 + 3,679 = 6,137

4-digit Addition Using Different Numbers:

Question: Add 1,245 + 3,612 + 2,134
    1,245  
+  3,612  
+  2,134

Ones: 5 + 2 + 4 = 11 → write 1, carry 1

Tens: 4 + 1 + 3 = 8, then add the carried 1= 9

Hundreds: 2 + 6 + 1 = 9

Thousands: 1 + 3 + 2 = 6

 Answer: 
  6,991

A 4-digit addition is when you add two or more numbers with four digits. For example, 2,345 and 6,789 are both four-digit numbers.

For example, numbers like 1,234, 2,500, or 8,901 are all 4-digit numbers. When we add two 4-digit numbers, we carefully add each place value, starting from the right place and moving left. Sometimes, we need to carry over to the next column if the total in one place is 10 or more.

4-digit addition without regrouping is when you add two numbers with four digits, and none of the digits add up to 10 or more in any column. That means you don’t need to carry over or regroup any numbers to the next place value.

Example:
 

Add 3,421 + 2,134

   3421
+  2134

Now we will add column by column:

Ones: 1 + 4 = 5

Tens: 2 + 3 = 5

Hundreds: 4 + 1 = 5

Thousands: 3 + 2 = 5

Final Answer: 5,555

When we add two four-digit numbers, sometimes the total in a place value (like ones, tens, or hundreds) is 10 or more. When that happens, we can’t put both digits in one place because each place can only hold a single digit (from 0 to 9). So, we keep the digit in one place and carry the other digit to the next column on the left. This is called regrouping or carrying. It helps us add big numbers correctly by moving the extra value to the next place.

Example:

Add 3,478 + 2,659

    3478
 + 2659

Now we will add column by column, right to left:

Ones: 8 + 9 = 17
 → Write down 7, and carry 1 to the tens place.

Tens: 7 + 5 = 12, plus the carried 1 = 13
 → Write down 3, and carry 1 to the hundreds place.

Hundreds: 4 + 6 = 10, add the carried 1 = 11
 → Write down 1, and carry 1 to the thousands place.

Thousands: 3 + 2 = 5, add the carried 1 = 6

Final answer: 6,137

Let us see how 4-digit addition is applied in real life.

• Shopping and Money:  When a business adds up money made in a week, the numbers can be in the thousands. For example, if a shop earns 1,250 on Monday and 2,135 on Tuesday, the total is 3,385. They use 4-digit addition to find the total amount.

• Travel and Distance: When you go on a long trip, you might need to add distances like 1,200 km + 1,450 km to see how far you’ve gone in total.

• Counting People or Populations: In a city or town, the number of people in different neighborhoods can be thousands. To find out how many people live in the whole town, we add the 4-digit numbers together.

• School and Education: Schools might use 4-digit addition to count how many books are in the library or how many students are in several classes.

• Electricity or Water Bills: When we look at electricity or water usage over a few months, we often add 4-digit numbers to see how much we used in total.