Adding And Subtracting With Regrouping Worksheet

This worksheet is designed to give you practice in both adding and subtracting numbers, sometimes in situations where you need to regroup.

When you see numbers stacked on top of each other, that’s the vertical format. Let’s consider an example:

  456
+ 378
_____

This is an additional problem in vertical format. Here’s how you’d solve it:

Start from the rightmost column (the “ones” place). Add the numbers (6+8). The sum is 14, but you can’t write down 14 in the “ones” place because it’s a two-digit number, so you need to regroup.
In regrouping, we take the “tens” place from the 14, which is 1, and add it to the “tens” place in our problem. Write the “ones” place (4) beneath the line in the “ones” column.
Now, add the numbers in the “tens” place: 5 (from 456), 7 (from 378), and the 1 you regrouped from the previous step. This sums to 13. Again, you can’t write down 13 in the “tens” place, so you need to regroup again.

Write the “ones” place (3) beneath the line in the “tens” column and take the “tens” place (which is 1) from the 13 to the “hundreds” place.
Finally, add the numbers in the “hundreds” place: 4 (from 456), 3 (from 378), and the 1 you carried over from the “tens” place. This sums to 8. Write this beneath the line in the “hundreds” column.
You’ve found the sum of 456 and 378, which is 834.

Subtracting with regrouping is a similar process, but instead of carrying over additional tens or hundreds, you borrow them. Let’s consider a subtraction example:

  456
- 178
_____

Start from the “ones” place. You can’t subtract 8 from 6 without getting a negative number, so you need to borrow 1 from the “tens” place.
Borrowing 1 gives you a new number in the “ones” place: 16 (the borrowed “ten” plus the original 6). Now you can subtract 8 from 16 to get 8. Write this below the line in the “ones” column.

In the “tens” place, you now have 4 (since you borrowed 1 for the “ones” place). Subtract 7 from 4 and you’ll get a negative number, so you need to borrow 1 from the “hundreds” place.
Borrowing 1 gives you a new number in the “tens” place: 14. Subtract 7 from 14 to get 7. Write this below the line in the “tens” column.
In the “hundreds” place, you now have 3 (since you borrowed 1 for the “tens” place). Subtract 1 from 3 to get 2. Write this below the line in the “hundreds” column.