The image shows a subtraction problem involving 3-digit numbers with regrouping. The task is to solve the subtraction problem and verify the solution using addition. Let's break it down step by step:
Problem:
$$
471 - 283 = ?
$$
Step 1: Perform the Subtraction
We need to subtract \(283\) from \(471\). Since this involves regrouping (borrowing), let's do it step by step:
#### Subtract the ones place:
- Ones place: \(1 - 3\)
- Since \(1 < 3\), we need to borrow from the tens place.
- Borrow 1 from the tens place (7 becomes 6), and add 10 to the ones place (1 becomes 11).
- Now, \(11 - 3 = 8\).
#### Subtract the tens place:
- Tens place: \(6 - 8\)
- Since \(6 < 8\), we need to borrow from the hundreds place.
- Borrow 1 from the hundreds place (4 becomes 3), and add 10 to the tens place (6 becomes 16).
- Now, \(16 - 8 = 8\).
#### Subtract the hundreds place:
- Hundreds place: \(3 - 2 = 1\).
So, the result of the subtraction is:
$$
471 - 283 = 188
$$
Step 2: Verify Using Addition
To verify the subtraction, we use addition. The formula is:
$$
\text{Minuend} - \text{Subtrahend} = \text{Difference}
$$
$$
\text{Difference} + \text{Subtrahend} = \text{Minuend}
$$
Add the difference (\(188\)) and the subtrahend (\(283\)):
$$
188 + 283
$$
#### Add the ones place:
- Ones place: \(8 + 3 = 11\)
- Write down \(1\) and carry over \(1\).
#### Add the tens place:
- Tens place: \(8 + 8 + 1\) (carry over) \(= 17\)
- Write down \(7\) and carry over \(1\).
#### Add the hundreds place:
- Hundreds place: \(1 + 2 + 1\) (carry over) \(= 4\).
So, the sum is:
$$
188 + 283 = 471
$$
This matches the minuend, confirming that our subtraction is correct.
Final Answer:
$$
\boxed{188}
$$
Parent Tip: Review the logic above to help your child master the concept of interactive 3 digit subtraction.
