Final answer:
To estimate 85 × 57, round the numbers to 80 and 60, multiply to get 4,800, and choose the closest estimate, which is 4,900 (option B). The estimated product of 4,740 aligns well with this approximation.
Step-by-step explanation:
To choose the best estimate for the multiplication problem 85 × 57, it's useful to round the numbers to make the calculation simpler. In this case, 85 can be rounded to 80 and 57 to 60, making the multiplication easier to handle mentally: 80 × 60.
Now, multiplying these rounded numbers gives us 4,800, which can then be compared with the options provided. The closest estimate to 4,800 is 4,900 (option B), so this would be the best choice. When looking at the starting numbers, we see that both have 0 decimal places, and therefore we should round to the nearest whole number. In this case, the estimated product of 4,740 also closely aligns with our estimate, further confirming that 4,900 is a reasonable approximation.