Final answer:
To estimate the product of 0.047×(9.2×103), round the numbers and multiply to get 450. The exact product is 432.4, showing that the estimate is quite close.
Step-by-step explanation:
To estimate the product of 0.047×(9.2×103), we can round the numbers to one significant figure, which gives us 0.05×(9×103) = 0.05×4500 = 450. For a more accurate calculation, the exact product can be obtained using a calculator:
0.047×(9.2×103) = 43.24×101 which is 432.4 when expressed in standard notation.
Therefore, the estimated value is close to the actual product. Adding and removing zeroes as per the expression gives us the estimated product which is closely approximate to the actual product