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The following regrouping worksheets were created to help students practice regrouping:
Subtraction - Regrouping (Hundreds)
Subtraction - Regrouping (Tens)
What is regrouping?
Regrouping can occur in addition or subtraction. When I was a kid, we called regrouping "carrying over".
Regrouping involves reorganizing the numbers, which is necessary when numbers move places, for example from the ones to the tens column.
For example, when you add:
24
+
15
regrouping is NOT necessary because you do not need to reorganize the numbers to solve this problem. You simply add the ones column (5 + 4), and then you add the tens column (2 + 1). Your final answer is 39.
However, when you add:
24
+
16
regrouping IS necessary
because you must reorganize the numbers. When you add the ones column (4 + 6) you get 10, so you must carry over the one to the tens column. Your final answer is 40. Since you reorgnized the numbers, you are regrouping!
Similarly, when you subtract, for example:
36
-
24
regrouping is NOT necessary because you do not need to reorganize the numbers to solve the problem. You simply subtract the ones column (6 - 4), and then subtract the tens column (3 - 2). Your final answer is 12.
However, when you subtract:
36
-
27
regrouping IS necessary
because you must reorganize the numbers to solve this problem. In order to subtract the ones column (6 - 7) you must change the 6 to 16 and the 3 to 2. Your final answer is therefore 9.
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