Addition With Regrouping Worksheets: In this article, we will learn what addition with regrouping is. Also, we will solve some problems based on the concept of addition with regrouping.
Addition with regrouping is basically a type of addition in which we can add two or more numbers to find their total.
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What is Addition With Regrouping?
Addition with regrouping (also known as carrying) is a technique used to add numbers together when the sum of digits in any column exceeds 9. In such cases, you "regroup" or "carry over" the extra value to the next column.
For Example,
Let us take a problem and solve it.
Problem: 518 + 273
Solution:
Units column: 8 + 3 = 11 → Write down 1, carry over 1
Tens column: 1 + 7 + 1 = 9
Hundreds column: 5 + 2 = 7
\begin{array}{cccc} & 5 & 1 & 8 \\ + & 2 & 7 & 3 \\ \hline & 7 & 9 & 1 \\ \end{array} Result: 791
Addition With Regrouping: Solved problems
Problem 1: 456 + 378
Solution:
Units column: 6 +8 = 14 →Write down 4, carry over 1
Tens column: 5 + 7 + 1 = 13 →Write down 3, carry over 1
Hundreds column: 4 + 3 + 1 = 8
\begin{array}{cccc} & 4 & 5 & 6 \\ + & 3 & 7 & 8 \\ \hline & 8 & 3 & 4 \\ \end{array} Result: 834
Problem 2: 789 + 256
Solution:
Units column: 9 + 6 = 15 → Write down 5, carry over 1
Tens column: 8 + 5 + 1 = 14 → Write down 4, carry over 1
Hundreds column: 7 + 2 + 1 = 10
\begin{array}{cccc} & 7 & 8 & 9 \\ + & 2 & 5 & 6 \\ \hline 1 & 0 & 4 & 5 \\ \end{array} Result: 1045
Problem 3: 142 + 859
Solution:
Units column: 2 + 9 = 11 → Write down 1, carry over 1
Tens column: 4 + 5 + 1 = 10→Write down 0, carry over 1
Hundreds column: 1 + 8 + 1 = 10
\begin{array}{cccc} & 1 & 4 & 2 \\ + & 8 & 5 & 9 \\ \hline 1 & 0 & 0 & 1 \\ \end{array} Result: 1001
Problem 4: 653 + 472
Solution:
Units column: 3 + 2 = 5
Tens column: 5 + 7 = 12 → Write down 2, carry over 1
Hundreds column: 6 + 4 + 1 = 11
\begin{array}{cccc} & 6 & 5 & 3 \\ + & 4 & 7 & 2 \\ \hline 1 & 1 & 2 & 5 \\ \end{array} Result: 1125
Problem 5: 834 + 499
Solution:
Units column: 4 + 9 = 13 → Write down 3, carry over 1
Tens column: 3 + 9 + 1 = 13 → Write down 3, carry over 13 + 9 + 1 = 1
Hundreds column: 8 + 4 + 1 = 13
\begin{array}{cccc} & 8 & 3 & 4 \\ + & 4 & 9 & 9 \\ \hline 1 & 3 & 3 & 3 \\ \end{array} Result: 1333
Problem 6: 587 + 416
Solution:
Units column: 7 + 6 = 13 → Write down 3, carry over 1
Tens column: 8 + 1 + 1 = 10 → Write down 0, carry over 1
Hundreds column: 5 + 4 + 1 = 10
\begin{array}{cccc} & 5 & 8 & 7 \\ + & 4 & 1 & 6 \\ \hline 1 & 0 & 0 & 3 \\ \end{array} Result: 1003
Problem 7: 924 + 768
Solution:
Units column: 4 + 8 = 12 → Write down 2, carry over 1
Tens column: 2 + 6 + 1 = 9
Hundreds column: 9 + 7 = 16
\begin{array}{cccc} & 9 & 2 & 4 \\ + & 7 & 6 & 8 \\ \hline 1 & 6 & 9 & 2 \\ \end{array} Result: 1692
Problem 8: 835 + 147
Solution:
Units column: 5 + 7 = 12 → Write down 2, carry over 1
Tens column: 3 + 4 + 1 = 8
Hundreds column: 8 + 1 = 9
\begin{array}{cccc} & 8 & 3 & 5 \\ + & 1 & 4 & 7 \\ \hline & 9 & 8 & 2 \\ \end{array} Result: 982
Worksheet: Addition With Regrouping
Problem: Add the following:
1. 472 + 388
2. 951 + 267
3. 103 + 789
4. 684 + 579
5. 738 + 254
6. 425 + 389
7. 543 + 198
8. 896 + 147
9. 624 + 379
10. 718 + 295
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