# Adding 2-Digit Numbers with Regrouping

Here we will learn adding 2-digit numbers with regrouping and start working with easy numbers to get acquainted with the addition of two numbers.

How to add two two-digit numbers with carrying?

Let us follow the steps and start learning adding 2-digit numbers with regrouping with the help of these examples.

1. 45 + 37

(i) First arrange the numbers vertically so that the tens' place digits and ones' place digits are lined up which means in simple one number should be written above the other number. Draw a line under the bottom number. (ii) Add the ones place digits. Add (5 + 7 = 12). Place 2 in the ones column and place 1 above the tens column as shown. (iii) Then add the tens' place digits. Add (4 + 3 + 1 = 8) and place 8 in the tens column as shown. (iv) The answer of the sum 45 + 37 is 82.

Method II: 45 + 37

5 ones + 7 ones = 12 ones

Regroup 12 ones

12 ones = 10 ones + 2 ones

= 1 ten + 2 ones

Place 2 in the ones answer column and place 1 in the tens carry-up column.

4 tens +3 tens + 1 tens = 8 tens

Place 8 in the tens answer column.

So, adding 45 + 37 = 82.

2. 58 + 39

(i) First arrange the numbers vertically so that the tens' place digits and ones' place digits are lined up which means in simple one number should be written above the other number. Draw a line under the bottom number. (ii) Add the ones place digits. Add (8 + 7 = 17). Place 7 in the ones column and place 1 above the tens column as shown. (iii) Then add the tens' place digits. Add (5 + 3 + 1 = 9) and place 9 in the tens column as shown. (iv) The answer of the sum 58 + 39 is 97.

Method II: 58 + 39

8 ones + 9 ones = 17 ones

Regroup 17 ones

17 ones = 10 ones + 7 ones

= 1 ten + 7 ones

Place 7 in the ones answer column and place 1 in the tens carry-up column.

5 tens +3 tens + 1 tens = 9 tens

Place 9 in the tens answer column.

So, adding 58 + 39 = 97.