We will learn adding 4-digit numbers with regrouping.

Addition of 4-digit numbers can be done in the same way as we do addition of smaller numbers. We first arrange the numbers one below the other in place value columns and then we start adding from the ones place and regroup, if required as shown in the following examples.

Solved Examples on Adding 4-digit Numbers with Regrouping:

Solution:

 Step I: Add the ones. 6 + 5 = 11 ones = 1 ten and 1 one. Write 1 in ones column and carry 1 to the tens column.Step II: Add the tens. 9 + 2 + 1 (carry over) = 12 tens. 12 tens = 1 hundreds and 2 tens. Write 2 in tens column and carry 1 to the hundreds column.Step III: Add the hundreds. 1 + 0 + 1 (carry over) = 2 hundreds. Write 2 in the hundreds column. Step IV: Add the thousands. 6 + 3 = 9 thousands. Write 9 in the thousands column. Hence, 6196 + 3025 = 9221

2. Add 3018, 5123 and 1762.

Solution:

 Step I: Add the ones. 8 + 3 + 2 = 13 ones = 1 ten and 3 one. Write 3 in ones column and carry 1 to the tens column.Step II: Add the tens. 1 + 2 + 6 + 1 (carry over) = 10 tens. 10 tens = 1 hundreds and 0 tens. Write 0 in tens column and carry 1 to the hundreds column.Step III: Add the hundreds. 0 + 1 + 7 + 1 (carry over) = 9 hundreds. Write 9 in the hundreds column. Step IV: Add the thousands. 3 + 5 + 1 = 9 thousands. Write 9 in the thousands column. Hence, 3018 + 5123 + 1762 = 9903

Step I: Arrange the numbers in columns.

 Th H T O 5 3 8 6 + 3 9 2 7

Step II: Adding ones, we have:

6 ones + 7 ones = 13 ones = 1 ten + 3 ones.

Carry over 1 to tens column and write 3 under ones column.

 Th H T O 1 5 3 8 6 + 3 9 2 7

 3

Step III: Adding tens, we have:

1 ten (carried) + 8 tens + 2 tens = 11 tens = 1 hundred + 1 ten.

Carry over 1 to hundreds column and write 1 under tens column.

 Th H T O 1 1 5 3 8 6 + 3 9 2 7

 1 3

Step IV: Adding hundreds, we have:

1 hundred (carried) + 3 hundreds + 9 hundreds = 13 hundreds

= 1 thousand + 3 hundreds.

Carry over 1 to thousands column and write 3 under hundreds column.

 Th H T O 1 1 1 5 3 8 6 + 3 9 2 7

 3 1 3

Step V: Adding thousands, we have

1 thousand (carried) + 5 thousands + 3 thousands = 9 thousands

 Th H T O 1 1 1 5 3 8 6 + 3 9 2 7

 9 3 1 3

Hence, 5,386 + 3,927 = 9,313 (Nine thousand three hundred thirteen).

(i) 3571 and 5237

(ii) 4218 and 3573

(iii) 2184, 1096 and 3840

(iv) 4637 and 4645

(v) 3962 and 3057

(vi) 1489, 2801 and 5100

(vii) 2263 and 6761

(viii) 5566 and 3377

(ix) 8059, 401 and 121

(x) 4367 and 3818

(xi) 7618 and 1494

(xii) 327, 7054 and 37

I. (i) 8808

(ii) 7791

(iii) 7120

(iv) 9282

(v) 7019

(vi) 9390

(vii) 9024

(viii) 8943

(ix) 8581

(x) 8185

(xi) 9112

(xii) 7418

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

Recent Articles

1. Subtracting Integers | Subtraction of Integers |Fundamental Operations

Jun 13, 24 02:51 AM

Subtracting integers is the second operations on integers, among the four fundamental operations on integers. Change the sign of the integer to be subtracted and then add.

2. Properties of Subtracting Integers | Subtraction of Integers |Examples

Jun 13, 24 02:28 AM

The properties of subtracting integers are explained here along with the examples. 1. The difference (subtraction) of any two integers is always an integer. Examples: (a) (+7) – (+4) = 7 - 4 = 3

3. Math Only Math | Learn Math Step-by-Step | Worksheet | Videos | Games

Jun 13, 24 12:11 AM

Presenting math-only-math to kids, students and children. Mathematical ideas have been explained in the simplest possible way. Here you will have plenty of math help and lots of fun while learning.

4. Addition of Integers | Adding Integers on a Number Line | Examples

Jun 12, 24 01:11 PM

We will learn addition of integers using number line. We know that counting forward means addition. When we add positive integers, we move to the right on the number line. For example to add +2 and +4…