Adding 4-digit Numbers with Regrouping

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:

1. Add 6196 and 3025.

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

3. Add 5,386 and 3,927.

Step I: Arrange the numbers in columns.

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.

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.

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.

Step V: Adding thousands, we have

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

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

Questions and Answers on Adding 4-digit Numbers with Regrouping:

I. Add the given numbers:

(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

Answers:

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

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