Final answer:
To estimate the product of 4.3 and 9.7, round the numbers and multiply: 4 (rounded from 4.3) × 10 (rounded from 9.7) equals 40. The closest answer option is (B) 41.
Step-by-step explanation:
The calculation requires estimating the multiplication of two decimal numbers, 4.3 and 9.7. An effective strategy for estimation is to round each number to the nearest whole number before multiplying. In this case, 4.3 can be rounded down to 4, and 9.7 can be rounded up to 10.
Now, multiplying the estimated numbers: 4 (rounded from 4.3) × 10 (rounded from 9.7) equals 40. Looking at the provided options for the estimate, option (B) 41 is the closest to our estimated result, making (B) the best choice.