What is Addition With Regrouping?
Addition with regrouping, also known as carrying, is a method used to add two or more multi-digit numbers where the sum of the digits in a column is greater than or equal to 10. In this case, the ones place is written as part of the sum, and the tens place is carried over to the next column.
For example, consider the problem 47 + 58. To solve this problem, you would write the numbers vertically, lining up the ones place, the tens place, and so on:
Starting with the ones place, you add 7 and 8 to get 15, which is greater than 10. Therefore, you write down the 5 in the ones place, and carry the 1 over to the tens place:
Next, you add the digits in the tens place, along with the carried over 1:
Again, you must carry over the 1 to the hundreds place. Finally, you add the digits in the hundreds place to get the final answer:
Therefore, 47 + 58 = 105.
Addition With Regrouping Examples
Example 1: 23 + 49
In this example, you add the digits in the ones place (3 + 9 = 12). Since 12 is greater than 10, you write down the 2 in the ones place, and carry over the 1 to the tens place. Then, you add the digits in the tens place (2 + 4 = 6), along with the carried over 1. Finally, you add the digits in the hundreds place, which are both 0, to get the answer: 72.
Example 2: 345 + 678
FAQs on Addition With Regrouping
Q: What is addition with regrouping?
A: Addition with regrouping is a method of adding two or more numbers where the sum of two digits in the same place value column equals or exceeds 10. In this case, the ones place is “regrouped” or “carried over” to the next place value column.
Q: What is an example of addition with regrouping?
A: An example of addition with regrouping is 27 + 16. First, you add the ones column: 7 + 6 = 13. Since 13 is greater than 10, you write down 3 in the ones column and carry-over the 1 to the tens column. Then you add the tens column: 1 + 2 + 1 = 4. Therefore, the answer is 43.
Q: Is addition with regrouping the same as carrying and borrowing?
Q: Why do we need to use addition with regrouping?
A: Addition with regrouping is used when adding two or more numbers that have digits that add up to 10 or more in the same place value column. It allows us to accurately calculate the sum of these numbers.
Q: At what grade level is addition with regrouping typically taught?
A: Addition with regrouping is typically taught in 2nd or 3rd grade in most school curriculums.
Q: Are there any tips for making addition with regrouping easier?
A: One tip is to start by adding the digits in the ones column first, and then moving on to the next column. Another tip is to use visual aids like base-10 blocks or a number line to help with regrouping.
Q: What happens if I forget to regroup while adding?
A: Forgetting to regroup while adding will result in an incorrect answer.