Find the product `8739 xx 102` using distributive property.

Answer

To find the product \( 8739 \times 102 \) using the distributive property, we can follow these steps:

### Step-by-Step Solution:

1. **Rewrite 102 as a sum**:
\[ 102 = 100 + 2 \]
So, we can express the multiplication as:
\[ 8739 \times 102 = 8739 \times (100 + 2) \]

2. **Apply the distributive property**:
According to the distributive property, we can distribute \( 8739 \) to both \( 100 \) and \( 2 \):
\[ 8739 \times (100 + 2) = 8739 \times 100 + 8739 \times 2 \]

3. **Calculate \( 8739 \times 100 \)**:
Multiplying by \( 100 \) simply adds two zeros to the end of \( 8739 \):
\[ 8739 \times 100 = 873900 \]

4. **Calculate \( 8739 \times 2 \)**:
Now, we will multiply \( 8739 \) by \( 2 \):
- \( 2 \times 9 = 18 \) (write down \( 8 \), carry over \( 1 \))
- \( 2 \times 3 = 6 \), plus the carry \( 1 = 7 \)
- \( 2 \times 7 = 14 \) (write down \( 4 \), carry over \( 1 \))
- \( 2 \times 8 = 16 \), plus the carry \( 1 = 17 \)

So, \( 8739 \times 2 = 17478 \).

5. **Add the two results together**:
Now, we add \( 873900 \) and \( 17478 \):
\[ \begin{array}{r} 873900 \\ + 17478 \\ \hline 891378 \\ \end{array} \]

6. **Final Answer**:
Therefore, the product \( 8739 \times 102 \) is:
\[ \boxed{891378} \]