Mayank was asked to multiply 1936 by 36. Instead, he multiplied 1963 by 36. What is the difference between the correct answer and incorrect answer?

Answer

To find the difference between the correct and incorrect multiplication results, we will follow these steps:

### Step 1: Calculate the correct answer (1936 multiplied by 36)
1. **Multiply the units place**:
- \(6 \times 36 = 216\) (write down 6, carry over 21)
2. **Multiply the tens place**:
- \(3 \times 36 = 108\)
- Add the carry: \(108 + 21 = 129\) (write down 9, carry over 12)
3. **Multiply the hundreds place**:
- \(9 \times 36 = 324\)
- Add the carry: \(324 + 12 = 336\) (write down 6, carry over 33)
4. **Multiply the thousands place**:
- \(1 \times 36 = 36\)
- Add the carry: \(36 + 33 = 69\) (write down 69)

So, the correct answer is **69696**.

### Step 2: Calculate the incorrect answer (1963 multiplied by 36)
1. **Multiply the units place**:
- \(3 \times 36 = 108\) (write down 8, carry over 10)
2. **Multiply the tens place**:
- \(6 \times 36 = 216\)
- Add the carry: \(216 + 10 = 226\) (write down 6, carry over 22)
3. **Multiply the hundreds place**:
- \(9 \times 36 = 324\)
- Add the carry: \(324 + 22 = 346\) (write down 6, carry over 34)
4. **Multiply the thousands place**:
- \(1 \times 36 = 36\)
- Add the carry: \(36 + 34 = 70\) (write down 70)

So, the incorrect answer is **70668**.

### Step 3: Find the difference between the incorrect and correct answers
1. **Subtract the correct answer from the incorrect answer**:
- \(70668 - 69696\)
- Start from the rightmost digit:
- \(8 - 6 = 2\)
- \(6 - 9\) (borrow 1, making it 16): \(16 - 9 = 7\)
- \(6 - 6 = 0\)
- \(0 - 9\) (borrow 1, making it 10): \(10 - 9 = 1\)
- \(7 - 6 = 1\)

So, the difference is **972**.

### Final Answer:
The difference between the correct answer and the incorrect answer is **972**.

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