 Adding 2-Digit Numbers with Regrouping – Definition, Examples | How to Add Two Digit Numbers with Regrouping?

Adding 2-Digit Numbers with Regrouping is easy to calculate. Add two-digit numbers with quick tips and tricks. We have given various methods to understand the 2-Digit Addition concept with Regrouping. Immediately follow the complete article to make your students learn the in-depth concept of Adding 2-Digit Numbers using Regrouping. Different activities, images, and explanations will help the students learn the entire concept easily.

How to Add 2-Digit Numbers with Regrouping?

Students can follow two different methods to find the 2-Digit Numbers Addition using Regrouping. Follow any of the below methods to find the two-digit numbers with the help of the regrouping process.

Method – I

(i) Write down the given numbers. Firstly, set the numbers vertically so that the ones’ place digits and tens’ place digits are lined up. The numbers are placed simply like one number should be written above the other number. Draw a line under the bottom number.
(ii) Then, add the ones place digits. If you get a number 12, then place 2 in the one’s column and place 1 above the tens column and add it to tens’ place digits.
(iii) Next add the tens’ place digits along with the above-written number.
(iv) Finally, note down the last answer of the sum.

Method – II

(i) Take the two given numbers. Now, add the ones place digits.
ii) Then, Regroup the digits. note down the carry.
(iii) Next, add the tens column digits along with the carry.
(iv) At last write down the final answer of the sum.

Check out the below examples to find the Addition of 2-Digit Numbers with Regrouping.

Example 1. 56 + 26

Method – I: Solution:
(i) Firstly, write the numbers 56 and 26 vertically so that the ones’ place digits 6 and 6, and tens’ place digits 5 and 2 are lined up.
(ii) Add 6 + 6 = 12. Note down the 2 below and write 1 on the tens’ place digits.
(iii) Now, add 5, 2, and 1. 5 + 2 + 1 = 8.
(iv) So, the final answer is 82.

Method – II:
(i) Firstly, add the ones place digits. 6 ones + 6 ones = 12 ones.
(ii) Regroup 12 ones. 12 ones = 10 ones + 2 ones.
10 ones = 1 ten. Place 2 in the ones place digits answer column and place 1 in the tens carry-up column.
(iii) Add the tens place: 5 tens + 2 tens + 1 tens = 8 tens. Place 8 in the tens answer column.
(iv) So, the final answer is 82.

Example 2. 47 + 28

Method – I: Solution:
(i) Firstly, write the numbers 47 and 28 vertically so that the ones’ place digits 7 and 8, and tens’ place digits 4 and 2 are lined up.
(ii) Add 7 + 8 = 15. Note down the 5 below and write 1 on the tens’ place digits.
(iii) Now, add 4, 2, and 1. 4 + 2 + 1 = 7.
(iv) So, the final answer is 75.

Method – II:
(i) Firstly, add the ones place digits. 7 ones + 8 ones = 15 ones.
(ii) Regroup 15 ones. 15 ones = 10 ones + 5 ones.
10 ones = 1 ten. Place 5 in the ones place digits answer column and place 1 in the tens carry-up column.
(iii) Add the tens place: 4 tens + 2 tens + 1 tens = 7 tens. Place 7 in the tens answer column.
(iv) So, the final answer is 75.

Example 3. 35 + 69

Method – I: Solution:
(i) Firstly, write the numbers 35 and 69 vertically so that the ones’ place digits 5 and 9, and tens’ place digits 3 and 6 are lined up.
(ii) Add 5 + 9 = 14. Note down the 4 below and write 1 on the tens’ place digits.
(iii) Now, add 3, 6, and 1. 3 + 6 + 1 = 10.
(iv) So, the final answer is 104.

Method – II:
(i) Firstly, add the ones place digits. 9 ones + 5 ones = 14 ones.
(ii) Regroup 14 ones. 14 ones = 10 ones + 4 ones.
10 ones = 1 ten. Place 4 in the ones place digits answer column and place 1 in the tens carry-up column.
(iii) Add the tens place: 3 tens + 6 tens + 1 tens = 10 tens. Place 10 in the tens answer column.
(iv) So, the final answer is 104.

Adding 2 Digit Numbers With Regrouping Using Base Ten Blocks

Addition of 2 Digit Numbers With Regrouping with the help of Base Ten Blocks is easily understandable by students. Take the individual blocks from Base Ten Blocks and add them and forward the carry of blocks to the tens’ place digits then identify the final number of blocks to know the answer.

How to Add 2 Digit Numbers With Regrouping Using Base Ten Blocks?

Follow the below procedure to add the Double-Digit Numbers With Regrouping Using Base Ten Blocks.
(i) Firstly, take the individual blocks as per the given number ones’ place digits. Place the ones’ place digit below after regrouping.
(ii) Regroup the individual blocks and forward the carry block to the Base Ten Blocks.
(iii) Add the Base Ten Blocks and note down the number.
(iv) Write down the final answer according to the remained blocks.

Example 1. 14 + 77 Solution:
(i) Take 4 individual blocks and 7 individual blocks to add ones’ place digits. 7 + 4 = 11.
(ii) 11 ones = 10 ones + 1 ones.
10 ones = 1 ten.
(iii) Now, take 1 Base Ten Block, 7 Base Ten Blocks, and 1 Base Ten Block.
(iv) Now, add all the Base Ten Blocks. 1 + 7 + 1 = 9 Base Ten Blocks.
(v) Finally, place the 9 Base Ten Blocks and 1 individual block.
(vi) The final answer is 14 + 77 = 91.

Example 2. 31 + 49 Solution:
(i) Take 9 individual blocks and 1 individual block to add ones’ place digits. 9 +  = 10.
(ii) 10 ones = 1 ten.
(iii) Now, take 4 Base Ten Blocks, 3 Base Ten Blocks, and 1 Base Ten Block.
(iv) Now, add all the Base Ten Blocks. 4 + 3 + 1 = 5 Base Ten Blocks.
(v) Finally, place the 8 Base Ten Blocks and 1 individual block.
(vi) The final answer is 31 + 49 = 80.

Example 3. 32 + 39 Solution:
(i) Take 9 individual blocks and 2 individual blocks to add ones’ place digits. 2 + 9 = 11.
(ii) 11 ones = 10 ones + 1 ones.
10 ones = 1 ten.
(iii) Now, take 3 Base Ten Blocks, 3 Base Ten Blocks, and 1 Base Ten Block.
(iv) Now, add all the Base Ten Blocks. 3 + 3 + 1 = 7 Base Ten Blocks.
(v) Finally, place the 7 Base Ten Blocks and 1 individual block.
(vi) The final answer is 32 + 39 = 71.

Adding 2-Digit Numbers with Regrouping is explained with different methods. Follow the best and easy method and learn Adding 2-Digit Numbers with Regrouping. Practice every problem to have a complete grip on the concept.

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