1. The problem is to simplify the expression $23 \times 102$ using the distributive property. 2. The distributive property states that $a \times (b + c) = a \times b + a \times c$. 3. Applying this to $23 \times 102$, we write $102$ as $100 + 2$: $$23 \times 102 = 23 \times (100 + 2)$$ 4. Using the distributive property: $$23 \times (100 + 2) = 23 \times 100 + 23 \times 2$$ 5. Calculate each term: $$23 \times 100 = 2300$$ $$23 \times 2 = 46$$ 6. Add the results: $$2300 + 46 = 2346$$ 7. Therefore, the simplified result is: $$23 \times 102 = 2346$$