Solve, using properties/ methods that simplify the calculations:
`196xx25`

Answer

To solve the problem \( 196 \times 25 \) using properties that simplify calculations, we can follow these steps:

### Step-by-Step Solution

1. **Rewrite 196**:
We can express 196 as \( 200 - 4 \).
\[ 196 = 200 - 4 \]

2. **Apply the Distributive Property**:
According to the distributive property, \( A \times (B - C) = A \times B - A \times C \). Here, we can apply this property with \( A = 25 \), \( B = 200 \), and \( C = 4 \).
\[ 196 \times 25 = (200 - 4) \times 25 = 25 \times 200 - 25 \times 4 \]

3. **Calculate Each Part**:
- First, calculate \( 25 \times 200 \):
\[ 25 \times 200 = 5000 \]
- Next, calculate \( 25 \times 4 \):
\[ 25 \times 4 = 100 \]

4. **Subtract the Results**:
Now we subtract the second result from the first:
\[ 5000 - 100 = 4900 \]

5. **Final Answer**:
Therefore, the product of \( 196 \times 25 \) is:
\[ 4900 \]