Addition with Regrouping: Adding Bigger Numbers

Addition with regrouping happens when the sum of the digits in one place value (like the ones place) is 10 or more. When this happens, we carry or regroup one value into the next place.

Mathematics educators from the National Council of Teachers of Mathematics explain that understanding place value helps children learn addition with regrouping more easily.

We regroup because each place value can only hold one digit (0–9). When the total is 10 or more, we move the extra value to the next place.

Example: 8 + 7 = 15

15 means 1 ten and 5 ones

So we regroup the 1 ten.

Example Problem

36 + 27

Step 1: Add the ones

6 + 7 = 13

Step 2: Regroup

13 = 1 ten and 3 ones

Write 3 in the ones place and carry 1 to the tens place.

Step 3: Add the tens

3 + 2 + 1 = 6

Final Answer:

36 + 27 = 63

Problem 1

24 + 18

Step 1: Ones

4 + 8 = 12

Step 2: Regroup

12 = 1 ten and 2 ones

Step 3: Tens

2 + 1 + 1 = 4

Answer: 42

Problem 2

45 + 16

Step 1: Ones

5 + 6 = 11

Step 2: Regroup

11 = 1 ten and 1 one

Step 3: Tens

4 + 1 + 1 = 6

Answer: 61

Try solving these:

● 37 + 26 = ___

● 48 + 15 = ___

● 56 + 27 = ___

Remember the steps:

1. Add the ones

2. Regroup if needed

3. Add the tens

Addition with regrouping helps children:

● Understand place value more deeply

● Solve larger addition problems

● Prepare for subtraction and multiplication

The National Association for the Education of Young Children recommends using visual tools like blocks or drawings to help children understand regrouping.

Addition with regrouping may seem tricky at first, but with practice it becomes easy. By adding the ones first, regrouping when the total is 10 or more, and then adding the tens, children can solve bigger addition problems with confidence.

With fun activities and practice, regrouping becomes a helpful skill in everyday math.