1. The problem is to estimate the product of 181 and 47 using compatible numbers. 2. Compatible numbers are numbers that are easy to multiply mentally and close to the original numbers. 3. Here, 181 is close to 200 and 47 is close to 50, so we use 200 and 50 as compatible numbers. 4. Multiply the compatible numbers: $$200 \times 50 = 10,000$$ 5. This gives an estimated product of 10,000, which is easier to calculate than the exact product of 181 and 47. 6. Therefore, the estimate for 181 × 47 using compatible numbers is 10,000.