Final answer:
The number 5,102.040816326531 expressed in scientific notation is 5.102×10³, or option A) 5.102×10³.
Step-by-step explanation:
To express the number 5,102.040816326531 in scientific notation, we must first identify the most significant digit, which in this case is '5', and then count the number of places we need to move the decimal point to get a number between 1 and 10. Here, we move the decimal point three spaces to the left, which gives us 5.102. Since we moved the decimal left, we must multiply by 10 raised to the power of the number of places we moved. This results in 5.102×10³.
The answer is therefore 5.102×10³, which corresponds to option A) 5.102×10³.