Find using distributive property:
`824xx25`

Answer

To solve the problem \( 824 \times 25 \) using the distributive property, we can follow these steps:

### Step-by-Step Solution:

1. **Rewrite 25 as a sum**:
We can express \( 25 \) as \( 20 + 5 \).
\[ 824 \times 25 = 824 \times (20 + 5) \]

2. **Apply the distributive property**:
According to the distributive property, we can distribute \( 824 \) to both terms inside the parentheses.
\[ 824 \times (20 + 5) = 824 \times 20 + 824 \times 5 \]

3. **Calculate \( 824 \times 20 \)**:
To calculate \( 824 \times 20 \), we can first find \( 824 \times 2 \) and then multiply the result by \( 10 \) (since \( 20 = 2 \times 10 \)).
\[ 824 \times 2 = 1648 \]
Now, multiply by \( 10 \):
\[ 1648 \times 10 = 16480 \]

4. **Calculate \( 824 \times 5 \)**:
Now, we calculate \( 824 \times 5 \).
\[ 824 \times 5 = 4120 \]

5. **Add the two results together**:
Now we add \( 16480 \) and \( 4120 \).
\[ 16480 + 4120 = 20600 \]

### Final Answer:
Thus, \( 824 \times 25 = 20600 \).