Addition and Subtraction Word Problems With Regrouping

What is regrouping?

Regrouping, also known as borrowing or carrying, is a step-by-step process used to solve addition and subtraction word problems. It is used when the problem involves numbers larger than 9 and requires the student to regroup or “carry” a number from one column to the next.

Addition and Subtraction Word Problems With Regrouping: An Overview

When faced with a word problem that requires regrouping, the student needs to break down the problem into smaller, easier-to-manage parts. This means identifying the “place value” of each number and recognizing any subtraction or addition that needs to be done. After this, the student needs to regroup or “carry” any number from one column to the next. This process is repeated until the problem is solved.

Example 1:

What is the sum of 23 and 26?

First, recognize that this is an addition problem and that it requires regrouping. Break down the numbers into their respective place values. For 23, this is 20+3, and for 26 it is 20+6. To solve the problem, add the 3 and 6 together and “carry” the 1 to the next column to make the answer 49.

Example 2:

What is the difference between 65 and 28?

Again, recognize that this is a subtraction problem and requires regrouping. Break down the numbers into their respective place values. For 65, this is 60+5, and for 28 it is 20+8. To solve the problem, subtract the 8 from the 5 and “carry” the 1 to the next column to make the answer 37.

Conclusion

Regrouping is an essential concept when solving addition and subtraction word problems. By breaking down the problem into smaller parts and recognizing the place value of each number, it makes the process easier and more efficient. The process of regrouping or “carrying” a number from one column to the next is a necessary step when solving problems larger than 9.