Regrouping in Math Examples | 80+ Problems | Free Printable

This article will give you a total idea about regrouping and explore some regrouping in math examples. A pdf of the worksheet is attached to this article. You will find a complete overview of regrouping after reading this article.

We know four types of mathematical operations: addition, subtraction, multiplication, and division. These operations are basic and fundamental operations in mathematics.

Moreover, you need to have some additional knowledge to convey these operations. Regrouping is this kind of additional knowledge.

Mathematicians use the term “regrouping” to describe the process of rearranging numbers in a way that makes arithmetic operations, like addition and subtraction, simpler.

This article will provide you with the basics of regrouping in math with basic mathematical and word problem examples. Your students from grades 1-3 will enjoy the worksheets surely.

---

Regrouping in Math: The Basic Idea

Making groups of ten when doing math operations like addition or subtraction is known as regrouping. This frequently occurs while dealing with double digits.

Technically speaking, it also happens whenever you have a response that is greater than 10. It applies to any circumstance in subtraction where you must “borrow” from the tens column. For instance, 28 + 17 in two-digit addition would be an example.

In this situation, you must reorganize. 8  + 7 equals 15, or one 10 and two units when added together. You then remove the two units and recombine the tens into the tens column.

The response is 45. Regrouping isn’t confined to addition, though. When solving a subtraction issue, you can also regroup.

As an example, consider the issue 32 – 18. To begin with the units, 8 cannot be subtracted from 2. Thus, you must arrange a single ten from the 20 into a group of 10 units. then subtract 8 from 12 to arrive at. Your answer is 4.

You then look at the tens side. 3 minus 2 equals 1, thus you have one ten. Hence, the final response is 14.

         

---

3 Interactive Examples of Regrouping in Math

Our children from grades 1-3 will be able to learn basic mathematics very quickly and interactively with the help of these regrouping math examples. These methods should assist your young champ in learning the basics of mathematical operation learning and laying a solid foundation.

1. Using Regrouping in Addition Math Examples
2. Regrouping in Subtraction Math Examples
3. Add and Subtract Fractions Using Regrouping

---

Using Regrouping in Addition Math

In this portion of this article, I will use regrouping in addition problems. Students from grades 1-3 can solve this problem easily. Help them to solve the problem step by step. Hopefully, after some practice sessions, they will be able to use regrouping in addition problems.

Problem: 37+26=?

Solution:

• First, write down the numbers maintaining the columns.
• Then, add the numbers from one’s place.
• Here, the numbers in one’s place are 7 and 6. After addition, you will get the sum that is 13. But you can’t write summation 13 in one’s place. Write the 3 in one’s place and carry the 1 for the ten’s place.
• Now, add the ten’s place numbers. You will get 5. Add the carry with this summation.
• At last, you will get the summation is 63.

         

---

Regrouping in Subtraction Math

Here, I will show how to use regrouping in subtraction math examples. These problems are quite trickier than the addition problems. Keep patience and help your children to solve the problems. More practice will make your children more perfect to solve problems.

Problem: 72-59=?

Solution:

• Write down the numbers first maintaining the columns.
• Then, try to subtract the one’s place numbers. Here, you cannot subtract 9 from 2. So, you need to add an extra 10 with the 2 and then you will be able to subtract 9 from 12.
• The subtraction result is 3.
• Here you have a carry 1 for the ten’s place, as you have borrowed 10 from the 5 in the tens place.
• Now add the carry with the lower number in ten’s place. Here, the ten’s place number is 5. So add the carry 1 with 5 and subtract the (5+1) = 6 from 7. The result is 1.
• So, the result of the subtraction is 13.

         

---

Add and Subtract Fractions Using Regrouping Method

You must first identify a common denominator when adding or subtracting fractions with various denominators. To do this, determine the denominators’ least common multiples (LCM), then use that value as the new denominator for each fraction.

If possible, you can add or subtract the numerators after finding a common denominator to simplify the resultant fraction. You must regroup the fraction or simplify it as a mixed number if the numerator is bigger than the denominator. Here’s an example of how to add and subtract fractions using regrouping: Add 2/5 and 5/4.

Step 1:

Find the least common multiple (LCM) of 5 and 4. 5, 10, 15, 20, 25, 30… 4, 8, 12, 16, 20, 24, 28, 32, 36… The LCM of 5 and 4 is 20.

Step 2:

Convert each fraction to an equivalent fraction with a denominator of 12. 2/5 = 8/20 (multiply numerator and denominator by 4) 5/4 = 25/20 (multiply numerator and denominator by 3) Step 3: Add the numerators. 8/20 + 25/20 = 33/20

Step 4:

Simplify the fraction or regroup as a mixed number. 33/20 is an improper fraction, so we need to regroup it as a mixed number. 33/20 = 1 13/20 Therefore, 2/3 + 5/4 = 1 13/20. When subtracting fractions using regrouping, the steps are similar, except you subtract the numerators in step 3 instead of adding them.

           

---

Download Free Printable PDF with Worksheets

Download the following free printable pdf with worksheets with lots of exercises

Every method for resolving problems for regrouping in math examples will be shown to you. I’m hoping that these activities will help you and your kids establish a setting that is suitable to learning basic mathematical concepts. I hope your kids will like the entire activity. Please feel free to leave any nice remarks and recommendations for us in the comment area.