Find the product using distributive property of multiplication.
`283xx97`

Answer

To find the product of 283 and 97 using the distributive property of multiplication, we can follow these steps:

### Step-by-Step Solution:

1. **Rewrite the number 97**:
We can express 97 as \(100 - 3\).
\[ 97 = 100 - 3 \]

2. **Apply the distributive property**:
According to the distributive property, we can distribute 283 over the sum (or difference) inside the parentheses:
\[ 283 \times 97 = 283 \times (100 - 3) = 283 \times 100 - 283 \times 3 \]

3. **Calculate each part**:
- First, calculate \(283 \times 100\):
\[ 283 \times 100 = 28300 \]
- Next, calculate \(283 \times 3\):
\[ 283 \times 3 = 849 \]

4. **Subtract the second product from the first**:
Now, we subtract the two results:
\[ 28300 - 849 = 27451 \]

5. **Final answer**:
Therefore, the product of 283 and 97 is:
\[ 283 \times 97 = 27451 \]