3 Digit Subtraction with Regrouping - Amy Lemons - Free Printable

Problem Description:

The image shows a subtraction activity titled "Spin and Subtract" involving 3-digit numbers with regrouping. The task involves using two spinners (Spinner A and Spinner B) to generate numbers, then performing subtraction between the two numbers.

#### Key Elements:
1. Spinner A: Contains larger 3-digit numbers: 562, 533, 496, 605, 970, 712, 801, 734.
2. Spinner B: Contains smaller 3-digit numbers: 186, 199, 276, 248, 169, 479, 468, 332.
3. The goal is to subtract the number from Spinner B from the number from Spinner A.

#### Task:
Perform the subtraction for one example shown in the image:
- Number from Spinner A: 533
- Number from Spinner B: 276

Solution:

We need to subtract 276 from 533. Let's break it down step by step:

#### Step 1: Write the numbers vertically
Align the numbers by place value:
```
533
- 276
------
```

#### Step 2: Subtract digit by digit from right to left
1. Units place:
- Subtract 6 from 3.
- Since 3 is less than 6, we need to regroup. Borrow 1 from the tens place (3 becomes 13).
- Now, \( 13 - 6 = 7 \).

2. Tens place:
- After borrowing, the tens place in 533 becomes 2 (since we borrowed 1 from 3).
- Subtract 7 from 2.
- Since 2 is less than 7, we need to regroup again. Borrow 1 from the hundreds place (2 becomes 12).
- Now, \( 12 - 7 = 5 \).

3. Hundreds place:
- After borrowing, the hundreds place in 533 becomes 4 (since we borrowed 1 from 5).
- Subtract 2 from 4.
- \( 4 - 2 = 2 \).

#### Step 3: Combine the results
Putting it all together:
```
533
- 276
------
257
```

Final Answer:

The result of subtracting 276 from 533 is:
\[
\boxed{257}
\]

Explanation:

This problem demonstrates subtraction with regrouping (borrowing) across multiple place values. Regrouping is necessary when the digit being subtracted is larger than the digit in the minuend at that place value. By breaking the problem into steps and handling each place value carefully, we ensure accuracy in the final result.