3-Digit Subtraction with Regrouping | Interactive Worksheet ... - Free Printable

The image you provided is a worksheet focused on subtraction with regrouping. The task involves solving multi-digit subtraction problems by breaking them down into smaller, more manageable steps. Below, I will explain the process of solving one of these problems step-by-step using the method of regrouping.

Example Problem:

Let's solve problem #1 from the first row:
$$
432 - 156
$$

#### Step 1: Subtract the ones place.
- Ones place: $ 2 - 6 $
- Since $ 2 < 6 $, we need to regroup. Borrow 1 from the tens place (3 becomes 2), and add 10 to the ones place (2 becomes 12).
- Now, $ 12 - 6 = 6 $.

#### Step 2: Subtract the tens place.
- Tens place: $ 2 - 5 $ (after borrowing)
- Since $ 2 < 5 $, we need to regroup again. Borrow 1 from the hundreds place (4 becomes 3), and add 10 to the tens place (2 becomes 12).
- Now, $ 12 - 5 = 7 $.

#### Step 3: Subtract the hundreds place.
- Hundreds place: $ 3 - 1 $ (after borrowing)
- $ 3 - 1 = 2 $.

#### Final Answer:
$$
432 - 156 = 276
$$

General Explanation of Regrouping:

1. Start from the rightmost digit (ones place) and subtract.
2. If the top digit is smaller than the bottom digit in any column, borrow 1 from the next higher place value.
- This reduces the higher place value by 1 and adds 10 to the current place value.
3. Continue this process for each place value moving leftward until all digits are subtracted.

Applying to Other Problems:

You can apply the same method to solve the other problems in the worksheet. Here’s a quick breakdown of the steps for another example:

#### Problem #2:
$$
357 - 219
$$
1. Subtract the ones place: $ 7 - 9 $ → Borrow 1 (7 becomes 17, 5 becomes 4) → $ 17 - 9 = 8 $.
2. Subtract the tens place: $ 4 - 1 = 3 $.
3. Subtract the hundreds place: $ 3 - 2 = 1 $.
$$
357 - 219 = 138
$$

Final Answer for All Problems:

Using the same method, you can solve all the problems. Here are the answers for the given worksheet:

1. $ 432 - 156 = 276 $
2. $ 357 - 219 = 138 $
3. $ 461 - 283 = 178 $
4. $ 670 - 489 = 181 $
5. $ 615 - 389 = 226 $
6. $ 300 - 156 = 144 $

Boxed Final Answer:

$$
\boxed{276, 138, 178, 181, 226, 144}
$$

This approach ensures accuracy and helps break down complex subtraction problems into simpler steps.