1. **State the problem:** Estimate the product of 14 and 187 by rounding both numbers to 1 significant figure and then multiplying. 2. **Round 14 to 1 significant figure:** The number 14 has two digits. The first digit is 1, and the second digit is 4. Since the second digit 4 is less than 5, we round down. So, 14 rounded to 1 significant figure is $10$. 3. **Round 187 to 1 significant figure:** The number 187 has three digits. The first digit is 1, and the second digit is 8. Since the second digit 8 is greater than or equal to 5, we round up the first digit. So, 187 rounded to 1 significant figure is $200$. 4. **Multiply the rounded numbers:** $$10 \times 200 = 2000$$ 5. **Interpretation:** Using 1 significant figure rounding, the estimated product of 14 and 187 is approximately $2000$. This method simplifies calculations and gives a quick estimate that is close to the exact product.